TAFSM

Team for Advanced Flow Simulation and Modeling

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For more information:
  tezduyar@gmail.com

 






  
 
 
 
 
 
 
 
 
 


                                    Research Overview                                    


Objective

Our research objective is to develop and test advanced computational methods to support flow simulation and
modeling in a number of “targeted challenges” identified by our team as areas of computational technology
and science where we expect to make an impact. The goal is to create a simulation and modeling
environment that can be used effectively to investigate challenging technological issues and complex,
real-world problems in mechanical engineering, biomechanics, aerospace engineering, and applied
fluid mechanics. This goal includes understanding the basic scientific phenomena embedded in these
technological issues and problems as well as influencing the engineering and design considerations
involved.

Targeted Challenges

The T*AFSM is focusing on, as their “targeted challenges”, the classes of problems listed below.
      
    
      
  • Fluid-structure   interactions   [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
       20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,
       44, 45], including fluid-structure interactions with contact [44].
      
    • 
      
  • Cardiovascular  fluid  mechanics  and  fluid-structure  interactions  [46, 47, 48, 49, 50].  Examples:
      fluid-structure interactions in a cerebral aneurysm and a carotid artery, under normal and high blood
      pressure conditions.
      
    • 
      
  • Parachute   modeling   and   fluid-structure   interactions   [9, 51, 52, 10, 11, 12, 13, 14, 15, 16,
       17, 18, 19, 25, 21, 22, 23, 24, 28, 29, 32, 33, 36, 37, 38, 34, 41, 42, 53, 54, 44].   Examples:
      aerodynamic  behavior  of  round,  cross  and  ram-air  parachutes  and  complex  parachute  designs,
      aerodynamic interaction between an aircraft and a paratrooper, a parachute crossing the wake flow
      of an aircraft, interaction between multiple parachute canopies, gliding, disreefing, and soft landing
      
    • 
      
  • Air circulation and contaminant dispersion [9, 51, 11, 12]. Example: contaminant dispersion in a
      subway station.
      
    • 
      
  • Flows  with  moving  mechanical  components  [1, 2, 3, 4, 6, 7, 55, 9, 56, 11, 12, 57, 19, 20, 58,
       25, 26, 27, 31, 35, 39, 40]. Example: two high-speed trains passing each other in a tunnel, flow
      past a propeller, and flow past a helicopter rotor-fuselage combination.
      
    • 
      
  • Unsteady                    flows                    with                    interfaces,                    including
      free-surface flows and two-fluid interfaces [1, 2, 3, 4, 6, 59, 7, 60, 61, 9, 51, 62, 63, 64, 11, 12,
       65, 66, 19, 20, 25, 26, 27, 31, 67, 68, 35, 33, 38, 39, 40, 69, 70, 71, 45].  Examples:  sloshing
      in a liquid-storage tank and a tanker truck, free-surface flow past a cylinder, flow in the spillway of
      a dam, tidal flows, storm surges, and mold filling.
      
    • 
      
  • Fluid-object                       interactions,                       including                       fluid-particle
      interactions and mixtures [1, 2, 3, 4, 6, 7, 60, 72, 9, 73, 51, 74, 75, 76, 11, 12, 77, 17, 18, 19,
       20, 58, 25, 26, 27, 31, 35, 38, 39, 40, 70, 45]. Examples: particles falling in a liquid-filled tube,
      with the number of particles ranging from 2-5 to 1000.
      
    • 
      
  • Aerodynamics and hydrodynamics of complex shapes [6, 7, 9, 51, 74, 11, 12, 17, 56, 18, 19, 57,
       27].  Examples:  ground  vehicles  such  as  cars  and  trains,  helicopters,  aircraft,  spacecraft,  and
      submarines
      
    • 
      
  • 2D incompressible-flow computation of fundamental fluid mechanics problems: lid-driven flow in
      a cavity [78, 2, 79, 80, 81], flow past a plate [72], flow past two flat plates normal to the flow
      [78, 82], jet flow impinging on a wedge (edgetone problem) [83, 84, 85], flow past a fixed cylinder
      [83, 84, 86, 87, 88, 1, 89, 90, 2, 4, 79, 5, 91, 81, 92, 93, 94, 25, 95, 96], flow past a bank of
      cylinders [78], flow past a periodic array of cylinders [97, 98], flow past a drifting cylinder [1, 2, 3],
      flow past an oscillating cylinder [4, 5, 92], long-wake flow behind a cylinder [45], flow past a fixed
      airfoil [4, 60], flow past a pitching airfoil [4, 5, 6, 92, 72, 60], flow past a falling airfoil [4, 7], a
      pulsating liquid drop [1, 3].
      
    • 
      
  • 2D  compressible-flow  computation  of  fundamental  fluid  mechanics  problems:  flow  past  a  thin
      biconvex airfoil [99, 100, 101, 102], flow past a cylinder [100, 101, 80, 102, 103, 94, 104], flow past
      a pitching airfoil [105], flow past a plate [106].
      
    • 
      
  • Axisymmeric incompressible-flow computation of fundamental fluid mechanics problems: a viscous
      drop falling in a liquid [4, 6, 60].
      
    • 
      
  • 3D incompressible-flow computation of fundamental fluid mechanics problems: flow past a cylinder
      [55, 107], long-wake flow behind a cylinder [12, 108, 109, 110], long-wake flow behind a wing [108],
      flow past a sphere [55, 111], flow past a wing [7, 8], flow past a flapping wing pair [8], natural
      convection in a container [51], flow between two concentric cylinders (Taylor-Couette flow) [6, 7],
      flow-induced vibrations of a flexible pipe [7, 8], turbulent flow in a channel [112].
      
    • 
      
  • 3D  compressible-flow  computation  of  fundamental  fluid  mechanics  problems:  flow  past  a  sphere
      [7, 104].
      


Computational Methods Developed

The advanced methods developed by the T*AFSM include those listed below.
      
    
      
  • Special numerical stabilization methods for compressible and incompressible flows, including the
      SUPG  [99, 100, 113, 101, 102, 1, 79, 94, 114, 19, 25, 39]  and  PSPG  [1, 79, 94, 114, 19, 25,
       39] formulations, methods for fractional-step time-integration techniques [86, 88, 79], methods for
      advection-diffusion-reaction equations [113, 115, 116], and methods the vorticity-stream function
      [83, 117, 78, 86] and velocity-pressure-stress [4, 81] forms of the Navier-Stokes equations.
      
    • 
      
  • Deforming-Spatial-Domain/Stabilized  Space-Time  (DSD/SST)  formulation  for  problems  with
      moving   boundaries   and   interfaces,   including   fluid-structure   interactions,   fluid-object   and
      fluid-particle interactions, and free-surface and two-fluid flows [1, 2, 3, 4, 6, 7, 9, 51, 11, 12, 19,
       20, 25, 26, 30, 33, 36, 37, 39].
      
    • 
      
  • Techniques             for             determining             the             stabilization             parameters
      in SUPG, PSPG, and DSD/SST formulations [99, 100, 113, 118, 101, 102, 1, 2, 3, 79, 114, 119,
       27, 25, 95, 96, 120, 31, 35, 121, 122, 39, 123, 124, 125, 126, 127, 104].
      
    • 
      
  • Discontinuity-capturing (DC) techniques, Diffusion for Reaction-Dominated (DRD) technique, and
      Discontinuity-Capturing  Directional  Dissipation  (DCDD)  technique  [113, 115, 119, 25, 95, 27,
       120, 31, 35, 121, 39, 128, 112, 116].
      
    • 
      
  • Shock-capturing techniques for compressible flows and YZBeta shock-capturing [101, 102, 27, 120,
       31, 35, 121, 39, 122, 127, 104].
      
    • 
      
  • DSD/SST formulation for fluid-object interactions in spatially-periodic flow domains [77, 19, 27].
      
    • 
      
  • DSD/SST formulation for shallow water equations [19].
      
    • 
      
  • Advanced mesh update methods for problems with moving boundaries and interfaces [1, 3, 4, 5, 6,
       7, 60, 9, 73, 51, 74, 56, 76, 11, 12, 57, 19, 20, 24, 26, 27, 31, 29, 34, 35, 36, 37, 42, 44].
      
    • 
      
  • Shear-Slip Mesh Update Method (SSMUM) for computation of flows with objects in fast, linear or
      rotational relative motion [55, 9, 56, 11, 57, 19, 27].
      
    • 
      
  • Solid-Extension Mesh Moving Technique (SEMMT) [20, 26, 27, 31, 29, 34, 35, 36, 37, 42, 44].
      
    • 
      
  • Move-Reconnect-Renode Mesh Update Method (MRRMUM) [42, 44].
      
    • 
      
  • Fluid-structure coupling techniques for space-time finite element computation of fluid-structure
      interactions [10, 15, 13, 29, 35, 33, 36, 37, 41, 42, 44].
      
    • 
      
  • Surface-Edge-Node  Contact  Tracking  (SENCT)  technique  for  fluid-structure  interactions  with
      contact [44] .
      
    • 
      
  • Multiscale interface-capturing (Enhanced-Discretization Interface-Capturing Technique) (EDICT)
      for free-surface flows and two-fluid interfaces, for compressible flows with shocks, and for vortex flows
      [63, 103, 12, 17, 65, 18, 19, 20, 26, 31, 35, 33, 38, 39, 40].
      
    • 
      
  • Multiscale time-integration techniques [129, 20, 26, 27, 30, 31, 40]
      
    • 
      
  • Multiscale  space-time  technique  (Enhanced-Discretization  Space-Time  Technique)  (EDSTT)  for
      computation of fluid-structure interactions where the fluid and structure have substantially different
      time scales [20, 26, 27, 30, 31, 40].
      
    • 
      
  • Multiscale discretization and iteration method (Enhanced-Discretization Successive Update Method)
      (EDSUM) for computation of the flow behavior at small scales and for increasing the convergence of
      the iterative solution [19, 35, 27, 31, 35, 33, 130, 38, 40].
      
    • 
      
  • Multiscale   selective   stabilization   technique   (Enhanced-Discretization   Selective   Stabilization
      Procedure) (EDSSP) for applying numerical stabilization selectively at different scales [35, 33, 130,
       128].
      
    • 
      
  • Interface-capturing techniques for free-surface flows and two-fluid interfaces [63, 65, 66, 19, 20, 67,
       68, 26, 27, 31, 39, 40, 69, 71, 45].
      
    • 
      
  • Edge-Tracked Interface Locator Technique (ETILT) for free-surface flows and two-fluid interfaces
      [19, 20, 26, 27, 31, 35, 33, 38, 40, 69, 71].
      
    • 
      
  • Mixed   Interface-Tracking/Interface-Capturing   Technique   (MITICT)   for   fluid-structure   and
      fluid-object interactions with free-surface flows and two-fluid interfaces [19, 20, 26, 27, 31, 35, 33,
       38, 39, 70].
      
    • 
      
  • CIP  method  based  on  adaptive  meshless  Soroban  grids  for  computation  of  fluid-structure  and
      fluid-object interactions with free-surface flows and two-fluid interfaces [45].
      
    • 
      
  • Multi-Domain Method (MDM) for computation of long-wake flows [12, 108, 17, 109, 110, 18].
      
    • 
      
  • A  unified  finite  element  formulation  for  compressible  and  incompressible  flows  in  augmented
      conservation variables [94].
      
    • 
      
  • Stabilized formulations for shallow water equations [61, 62, 64].
      
    • 
      
  • Fluid-Object  Interactions  Subcomputation  Technique  (FOIST)  and  Beyond-FOIST  (B-FOIST)
      [19, 27, 31, 40].
      
    • 
      
  • Space-Time Contact Technique (STCT) [12, 19, 27].
      
    • 
      
  • Iterative solution methods for large, coupled nonlinear equation systems [84, 78, 85, 131, 4, 6, 80,
       59, 9, 51, 11, 132, 12, 19, 20, 26, 27, 133, 31, 35, 33, 130, 38, 134, 40, 43].
      
    • 
      
  • Adaptive Implicit-Explicit (AIE) technique for more efficient iterative solution [78, 87, 85].
      
    • 
      
  • Advanced preconditioning techniques for solution of large, coupled linear equation systems, including
      the  Grouped  Element-by-Element  (GEBE),  Clustered  Element-by-Element  (CEBE)  and  mixed
      CEBE/Cluster Companion (CEBE/CC) preconditioning techniques [84, 78, 87, 85, 4, 80, 131, 9,
       51, 132, 11, 12, 19, 20, 26, 27, 133, 31, 35, 33, 130, 38, 40, 134, 43].
      
    • 
      
  • Enhanced-Approximation Linear Solution Technique (EALST) for improved iterative convergence,
      with enhanced approximation (preconditioning) in subdomains selected in a static or dynamic way
      [20, 26, 27, 133, 31, 40].
      
    • 
      
  • Parallel computing methods [4, 6, 92, 59, 7, 60, 8, 135, 55, 9, 51, 74, 62, 52, 10, 132, 107, 64,
       11, 12, 15, 19, 136, 134].
      


References



      

      

   [1]   T.E. Tezduyar, “Stabilized finite element formulations for incompressible flow computations”,
      Advances in Applied Mechanics, 28 (1992) 1-44.
      

      

   [2]   T.E. Tezduyar, M. Behr, and J. Liou, “A new strategy for finite element computations involving
      moving  boundaries  and  interfaces  -  the  deforming-spatial-domain/space-time  procedure:  I. The
      concept  and  the  preliminary  numerical  tests”,  Computer  Methods  in  Applied  Mechanics  and
      Engineering, 94 (1992) 339-351.
      

      

   [3]   T.E. Tezduyar, M. Behr, S. Mittal, and J. Liou, “A new strategy for finite element computations
      involving moving boundaries and interfaces - the deforming-spatial-domain/space-time procedure:
      II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders”, Computer
      Methods in Applied Mechanics and Engineering, 94 (1992) 353-371.
      

      

   [4]   T.E. Tezduyar, M. Behr, S. Mittal, and A.A. Johnson, “Computation of unsteady incompressible
      flows with the finite element methods - space-time formulations, iterative strategies and massively
      parallel  implementations”,  in  New  Methods  in  Transient  Analysis,  PVP-Vol.246/AMD-Vol.143,
      ASME, New York, (1992) 7-24.
      

      

   [5]   S. Mittal   and   T.E.   Tezduyar,   “A   finite   element   study   of   incompressible   flows   past
      oscillating  cylinders  and  aerofoils”,  International  Journal  for  Numerical  Methods  in  Fluids,
      15 (1992) 1073-1118.
      

      

   [6]   T. Tezduyar,  S. Aliabadi,  M. Behr,  A. Johnson,  and  S. Mittal,  “Parallel  finite-element
      computation of 3D flows”, Computer, 26 (1993) 27-36.
      

      

   [7]   T.E.  Tezduyar,  S.K.  Aliabadi,  M. Behr,  and  S. Mittal,  “Massively  parallel  finite  element
      simulation of compressible and incompressible flows”, Computer Methods in Applied Mechanics and
      Engineering, 119 (1994) 157-177.
      

      

   [8]   S. Mittal  and  T.E.  Tezduyar,  “Parallel  finite  element  simulation  of  3D  incompressible
      flows  -  Fluid-structure  interactions”,  International  Journal  for  Numerical  Methods  in  Fluids,
      21 (1995) 933-953.
      

      

   [9]   T. Tezduyar, S. Aliabadi, M. Behr, A. Johnson, V. Kalro, and M. Litke, “Flow simulation and
      high performance computing”, Computational Mechanics, 18 (1996) 397-412.
      

      

  [10]   K.R. Stein, R.J. Benney, V. Kalro, A.A. Johnson, and T.E. Tezduyar, “Parallel computation
      of parachute fluid-structure interactions”, in Proceedings of AIAA 14th Aerodynamic Decelerator
      Systems Technology Conference, AIAA Paper 97-1505, San Francisco, California, (1997).
      

      

  [11]   T.E. Tezduyar, “CFD methods for three-dimensional computation of complex flow problems”,
      Journal of Wind Engineering and Industrial Aerodynamics, 81 (1999) 97-116.
      

      

  [12]   T. Tezduyar  and  Y. Osawa,  “Methods  for  parallel  computation  of  complex  flow  problems”,
      Parallel Computing, 25 (1999) 2039-2066.
      

      

  [13]   K. Stein, R. Benney, T. Tezduyar, V. Kalro, J. Leonard, and M. Accorsi, “3-D computation of
      parachute fluid-structure interactions: Performance and control”, in Proceedings of CEAS/AIAA 15th
      Aerodynamic Decelerator Systems Technology Conference, AIAA Paper 99-1714, Toulouse, France,
      (1999).
      

      

  [14]   K. Stein, R. Benney, T. Tezduyar, V. Kalro, J. Potvin, and T. Bretl, “3-D computation of
      parachute fluid-structure interactions: Performance and control”, in Proceedings of CEAS/AIAA 15th
      Aerodynamic Decelerator Systems Technology Conference, AIAA Paper 99-1725, Toulouse, France,
      (1999).
      

      

  [15]   V. Kalro  and  T.E.  Tezduyar,  “A  parallel  3D  computational  method  for  fluid-structure
      interactions  in  parachute  systems”,  Computer  Methods  in  Applied  Mechanics  and  Engineering,
      190 (2000) 321-332.
      

      

  [16]   K. Stein,  R. Benney,  V. Kalro,  T.E.  Tezduyar,  J. Leonard,  and  M. Accorsi,  “Parachute
      fluid-structure  interactions:  3-D  Computation”,  Computer  Methods  in  Applied  Mechanics  and
      Engineering, 190 (2000) 373-386.
      

      

  [17]   T. Tezduyar and Y. Osawa, “The Multi-Domain Method for computation of the aerodynamics
      of a parachute crossing the far wake of an aircraft”, Computer Methods in Applied Mechanics and
      Engineering, 191 (2001) 705-716.
      

      

  [18]   T. Tezduyar and Y. Osawa, “Fluid-structure interactions of a parachute crossing the far wake
      of an aircraft”, Computer Methods in Applied Mechanics and Engineering, 191 (2001) 717-726.
      

      

  [19]   T.E.  Tezduyar,  “Finite  element  methods  for  flow  problems  with  moving  boundaries  and
      interfaces”, Archives of Computational Methods in Engineering, 8 (2001) 83-130.
      

      

  [20]   T. Tezduyar, “Finite element interface-tracking and interface-capturing techniques for flows with
      moving boundaries and interfaces”, in Proceedings of the ASME Symposium on Fluid-Physics and
      Heat Transfer for Macro- and Micro-Scale Gas-Liquid and Phase-Change Flows (CD-ROM), ASME
      Paper IMECE2001/HTD-24206, ASME, New York, New York, (2001).
      

      

  [21]   K. Stein,  R. Benney,  T. Tezduyar,  and  J. Potvin,  “Fluid-structure  interactions  of  a  cross
      parachute:  Numerical  simulation”,  Computer  Methods  in  Applied  Mechanics  and  Engineering,
      191 (2001) 673-687.
      

      

  [22]   K.R.  Stein,  R.J.  Benney,  T.E.  Tezduyar,  J.W.  Leonard,  and  M.L.  Accorsi,  “Fluid-structure
      interactions  of  a  round  parachute:  Modeling  and  simulation  techniques”,  Journal  of  Aircraft,
      38 (2001) 800-808.
      

      

  [23]   K. Stein,   T. Tezduyar,   V. Kumar,   S. Sathe,   R. Benney,   E. Thornburg,   C. Kyle,   and
      T. Nonoshita,  “Aerodynamic  interactions  between  parachute  canopies”,  Journal  of  Applied
      Mechanics, 70 (2003) 50-57.
      

      

  [24]   K. Stein, T. Tezduyar, and R. Benney, “Mesh moving techniques for fluid-structure interactions
      with large displacements”, Journal of Applied Mechanics, 70 (2003) 58-63.
      

      

  [25]   T.E. Tezduyar, “Computation of moving boundaries and interfaces and stabilization parameters”,
      International Journal for Numerical Methods in Fluids, 43 (2003) 555-575.
      

      

  [26]   T. Tezduyar, “Interface-tracking and interface-capturing techniques for computation of moving
      boundaries and interfaces”, in Proceedings of the Fifth World Congress on Computational Mechanics,
      On-line publication: http://wccm.tuwien.ac.at/, Paper-ID: 81513, Vienna, Austria, (2002).
      

      

  [27]   T.E.  Tezduyar,  “Finite  element  methods  for  fluid  dynamics  with  moving  boundaries  and
      interfaces”, in E. Stein, R. De Borst, and T.J.R. Hughes, editors, Encyclopedia of Computational
      Mechanics, Volume 3: Fluids, Chapter 17, John Wiley & Sons, 2004.
      

      

  [28]   K. Stein,  T. Tezduyar,  and  R. Benney,  “Applications  in  airdrop  systems:  Fluid-structure
      interaction modeling”, in Proceedings of the Fifth World Congress on Computational Mechanics (Web
      Site), On-line publication: http://wccm.tuwien.ac.at/, Paper-ID: 81545, Vienna, Austria, (2002).
      

      

  [29]   K. Stein,  T. Tezduyar,  and  R. Benney,  “Computational  methods  for  modeling  parachute
      systems”, Computing in Science and Engineering, 5 (2003) 39-46.
      

      

  [30]   T.E.  Tezduyar  and  S. Sathe,  “Enhanced-discretization  space-time  technique  (EDSTT)”,
      Computer Methods in Applied Mechanics and Engineering, 193 (2004) 1385-1401.
      

      

  [31]   T.E.  Tezduyar,  “Stabilized  finite  element  methods  for  computation  of  flows  with  moving
      boundaries and interfaces”, in Lecture Notes on Finite Element Simulation of Flow Problems (Basic -
      Advanced Course), Japan Society of Computational Engineering and Sciences, Tokyo, Japan, (2003).
      

      

  [32]   K. Stein, T. Tezduyar, R. Benney, M. Accorsi, and H. Johari, “Computational modeling of
      parachute fluid-structure interactions”, Computational Fluid Dynamics Journal, 12 (2003) 516-526.
      

      

  [33]   T.E.  Tezduyar,  “Moving  boundaries  and  interfaces”,  in  L.P.  Franca,  T.E.  Tezduyar,  and
      A. Masud, editors, Finite Element Methods: 1970’s and Beyond, 205-220, CIMNE, Barcelona, Spain,
      2004.
      

      

  [34]   K. Stein,         T.E.         Tezduyar,         and         R. Benney,         “Automatic         mesh
      update with the solid-extension mesh moving technique”, Computer Methods in Applied Mechanics
      and Engineering, 193 (2004) 2019-2032.
      

      

  [35]   T.E.  Tezduyar,  “Stabilized  finite  element  methods  for  flows  with  moving  boundaries  and
      interfaces”, HERMIS: The International Journal of Computer Mathematics and its Applications,
      4 (2003) 63-88.
      

      

  [36]   T.E. Tezduyar, S. Sathe, R. Keedy, and K. Stein, “Space-time techniques for finite element
      computation of flows with moving boundaries and interfaces”, in S. Gallegos, I. Herrera, S. Botello,
      F. Zarate,  and  G. Ayala,  editors,  Proceedings  of  the  III  International  Congress  on  Numerical
      Methods in Engineering and Applied Science, CD-ROM, 2004.
      

      

  [37]   T.E.  Tezduyar,  S. Sathe,  R. Keedy,  and  K. Stein,  “Space-time  finite  element  techniques
      for  computation  of  fluid-structure  interactions”,  Computer  Methods  in  Applied  Mechanics  and
      Engineering, 195 (2006) 2002-2027.
      

      

  [38]   T.E.  Tezduyar,  “Interface-tracking  and  interface-capturing  techniques  for  finite  element
      computation of moving boundaries and interfaces”, Computer Methods in Applied Mechanics and
      Engineering, 195 (2006) 2983-3000.
      

      

  [39]   T.E. Tezduyar, “Finite elements in fluids: Stabilized formulations and moving boundaries and
      interfaces”, Computers & Fluids, published online, December 2005.
      

      

  [40]   T.E. Tezduyar, “Finite elements in fluids: Special methods and enhanced solution techniques”,
      Computers & Fluids, published online, January 2006.
      

      

  [41]   T.E. Tezduyar, S. Sathe, and K. Stein, “Solution techniques for the fully-discretized equations
      in computation of fluid-structure interactions with the space-time formulations”, Computer Methods
      in Applied Mechanics and Engineering, 195 (2006) 5743-5753.
      

      

  [42]   T.E.  Tezduyar,  S. Sathe,  M. Senga,  L. Aureli,  K. Stein,  and  B. Griffin,  “Finite  element
      modeling of fluid-structure interactions with space-time and advanced mesh update techniques”, in
      Proceedings of the 10th International Conference on Numerical Methods in Continuum Mechanics
      (CD-ROM), Zilina, Slovakia, (2005).
      

      

  [43]   T. Washio,  T. Hisada,  H. Watanabe,  and  T.E.  Tezduyar,  “A  robust  preconditioner  for
      fluid-structure interaction problems”, Computer Methods in Applied Mechanics and Engineering,
      194 (2005) 4027-4047.
      

      

  [44]   T.E. Tezduyar, S. Sathe, K. Stein, and L. Aureli, “Modeling of fluid-structure interactions with
      the space-time technique”, in H-J. Bungartz and M. Schafer, editors, Fluid-Structure Interaction,
      Lecture Notes on Computational Science and Engineering, Springer, 2006.
      

      

  [45]   K. Takizawa, T. Yabe, Y. Tsugawa, T.E. Tezduyar, and H. Mizoe, “Computation of free-surface
      flows and fluid-object interactions with the CIP method based on adaptive meshless Soroban grids”,
      Computational Mechanics, published online, July 2006.
      

      

  [46]   R. Torii,   M. Oshima,   T. Kobayashi,   K. Takagi,   and   T.E.   Tezduyar,   “Computation   of
      cardiovascular fluid-structure interactions with the DSD/SST method”, in Proceedings of the 6th
      World Congress on Computational Mechanics (CD-ROM), Beijing, China, (2004).
      

      

  [47]   R. Torii, M. Oshima, T. Kobayashi, K. Takagi, and T.E. Tezduyar, “Influence of wall elasticity
      on image-based blood flow simulation”, Japan Society of Mechanical Engineers Journal Series A,
      70 (2004) 1224-1231, in Japanese.
      

      

  [48]   R. Torii, M. Oshima, T. Kobayashi, K. Takagi, and T.E. Tezduyar, “Computer modeling of
      cardiovascular                        fluid-structure                        interactions                        with
      the Deforming-Spatial-Domain/Stabilized Space-Time formulation”, Computer Methods in Applied
      Mechanics and Engineering, 195 (2006) 1885-1895.
      

      

  [49]   R. Torii, M. Oshima, T. Kobayashi, K. Takagi, and T.E. Tezduyar, “Influence of wall elasticity
      in patient-specific hemodynamic simulations”, Computers & Fluids, published online, December 2005.
      

      

  [50]   R. Torii, M. Oshima, T. Kobayashi, K. Takagi, and T.E. Tezduyar, “Fluid-structure interaction
      modeling of aneurysmal conditions with high and normal blood pressures”, Computational Mechanics,
      38 (2006) 482-490.
      

      

  [51]   T. Tezduyar, S. Aliabadi, M. Behr, A. Johnson, V. Kalro, and M. Litke, “High performance
      computing  techniques  for  flow  simulations”,  in  M. Papadrakakis,  editor,  Solving  Large-Scale
      Problems  in  Mechanics:  Parallel  Solution  Methods  in  Computational  Mechanics,  Chapter 10,
      363-398, John Wiley & Sons, 1997.
      

      

  [52]   T. Tezduyar, V. Kalro, and W. Garrard, “Parallel computational methods for 3D simulation of
      a parafoil with prescribed shape changes”, Parallel Computing, 23 (1997) 1349-1363.
      

      

  [53]   K. Stein,  T.E.  Tezduyar,  S. Sathe,  R. Benney,  and  R. Charles,  “Fluid-structure  interaction
      modeling  of  parachute  soft-landing  dynamics”,  International  Journal  for  Numerical  Methods  in
      Fluids, 47 (2005) 619-631.
      

      

  [54]   S. Sathe,  R. Benney,  R. Charles,  E. Doucette,  J. Miletti,  M. Senga,  K. Stein,  and  T.E.
      Tezduyar, “Fluid-structure interaction modeling of complex parachute designs with the space-time
      finite element techniques”, Computers & Fluids, published online, December 2005.
      

      

  [55]   V. Kalro and T.E. Tezduyar, “Parallel finite element computation of 3D incompressible flows on
      MPPs”, in W.G. Habashi, editor, Solution Techniques for Large-Scale CFD Problems, John Wiley
      & Sons, 1995.
      

      

  [56]   M. Behr  and  T. Tezduyar,  “The  Shear-Slip  Mesh  Update  Method”,  Computer  Methods  in
      Applied Mechanics and Engineering, 174 (1999) 261-274.
      

      

  [57]   M. Behr and T. Tezduyar, “Shear-slip mesh update in 3D computation of complex flow problems
      with rotating mechanical components”, Computer Methods in Applied Mechanics and Engineering,
      190 (2001) 3189-3200.
      

      

  [58]   S.E Ray and T.E. Tezduyar, “Fluid-object interactions in interior ballistics”, Computer Methods
      in Applied Mechanics and Engineering, 190 (2000) 363-372.
      

      

  [59]   M. Behr and T.E. Tezduyar, “Finite element solution strategies for large-scale flow simulations”,
      Computer Methods in Applied Mechanics and Engineering, 112 (1994) 3-24.
      

      

  [60]   A.A. Johnson and T.E. Tezduyar, “Mesh update strategies in parallel finite element computations
      of flow problems with moving boundaries and interfaces”, Computer Methods in Applied Mechanics
      and Engineering, 119 (1994) 73-94.
      

      

  [61]   K. Kashiyama,   H. Ito,   M. Behr,   and   T. Tezduyar,   “Three-step   explicit   finite   element
      computation of shallow water flows on a massively parallel computer”, International Journal for
      Numerical Methods in Fluids, 21 (1995) 885-900.
      

      

  [62]   K. Kashiyama, K. Saitoh, M. Behr, and T.E. Tezduyar, “Parallel finite element methods for
      large-scale  computation  of  storm  surges  and  tidal  flows”,  International  Journal  for  Numerical
      Methods in Fluids, 24 (1997) 1371-1389.
      

      

  [63]   T. Tezduyar,   S. Aliabadi,   and   M. Behr,   “Enhanced-Discretization   Interface-Capturing
      Technique  (EDICT)  for  computation  of  unsteady  flows  with  interfaces”,  Computer  Methods  in
      Applied Mechanics and Engineering, 155 (1998) 235-248.
      

      

  [64]   K. Kashiyama, Y. Ohba, T. Takagi, M. Behr, and T. Tezduyar, “Parallel finite element method
      utilizing the mode splitting and sigma coordinate for shallow water flows”, Computational Mechanics,
      23 (1999) 144-150.
      

      

  [65]   T.E Tezduyar and S. Aliabadi, “EDICT) for 3D computation of two-fluid interfaces”, Computer
      Methods in Applied Mechanics and Engineering, 190 (2000) 403-410.
      

      

  [66]   S. Aliabadi and T.E. Tezduyar, “Stabilized-Finite-Element/Interface-Capturing Technique for
      parallel computation of unsteady flows with interfaces”, Computer Methods in Applied Mechanics
      and Engineering, 190 (2000) 243-261.
      

      

  [67]   M. Cruchaga, D. Celentano, and T. Tezduyar, “A moving lagrangian interface technique for
      flow computations over fixed meshes”, Computer Methods in Applied Mechanics and Engineering,
      191 (2001) 525-543.
      

      

  [68]   M. Cruchaga, D. Celentano, and T. Tezduyar, “Computation of mould filling processes with
      a moving lagrangian interface technique”, Communications in Numerical Methods in Engineering,
      18 (2002) 483-493.
      

      

  [69]   M.A. Cruchaga, D.J. Celentano, and T.E. Tezduyar, “Moving-interface computations with the
      edge-tracked interface locator technique (ETILT)”, International Journal for Numerical Methods in
      Fluids, 47 (2005) 451-469.
      

      

  [70]   J.E.  Akin,  T.E.  Tezduyar,  and  M. Ungor,  “Computation  of  flow  problems  with  the  mixed
      interface-tracking/interface-capturing technique (MITICT)”, Computers & Fluids, published online,
      December 2005.
      

      

  [71]   M.A. Cruchaga, D.J. Celentano, and T.E. Tezduyar, “Collapse of a liquid column: Numerical
      simulation and experimental validation”, Computational Mechanics, published online, February 2006.
      

      

  [72]   S. Mittal and T.E. Tezduyar, “Massively parallel finite element computation of incompressible
      flows involving fluid-body interactions”, Computer Methods in Applied Mechanics and Engineering,
      112 (1994) 253-282.
      

      

  [73]   A.A. Johnson and T.E. Tezduyar, “Simulation of multiple spheres falling in a liquid-filled tube”,
      Computer Methods in Applied Mechanics and Engineering, 134 (1996) 351-373.
      

      

  [74]   A.A. Johnson and T.E. Tezduyar, “Parallel computation of incompressible flows with complex
      geometries”, International Journal for Numerical Methods in Fluids, 24 (1997) 1321-1340.
      

      

  [75]   A.A.  Johnson  and  T.E.  Tezduyar,  “3D  simulation  of  fuid-particle  interactions  with  the
      number  of  particles  reaching  100”,  Computer  Methods  in  Applied  Mechanics  and  Engineering,
      145 (1997) 301-321.
      

      

  [76]   A.A. Johnson and T.E. Tezduyar, “Advanced mesh generation and update methods for 3D flow
      simulations”, Computational Mechanics, 23 (1999) 130-143.
      

      

  [77]   A. Johnson  and  T. Tezduyar,  “Methods  for  3D  computation  of  fluid-object  interactions
      in   spatially-periodic   flows”,   Computer   Methods   in   Applied   Mechanics   and   Engineering,
      190 (2001) 3201-3221.
      

      

  [78]   T.E. Tezduyar, J. Liou, D.K. Ganjoo, and M. Behr, “Solution techniques for the vorticity-stream
      function formulation of two-dimensional incompressible flows”, International Journal for Numerical
      Methods in Fluids, 11 (1990) 515-539.
      

      

  [79]   T.E.  Tezduyar,  S. Mittal,  S.E.  Ray,  and  R. Shih,  “Incompressible  flow  computations  with
      stabilized  bilinear  and  linear  equal-order-interpolation  velocity-pressure  elements”,  Computer
      Methods in Applied Mechanics and Engineering, 95 (1992) 221-242.
      

      

  [80]   J. Liou and T.E. Tezduyar, “Clustered element-by-element computations for fluid flow”, in H.D.
      Simon, editor, Parallel Computational Fluid Dynamics - Implementation and Results, Scientific and
      Engineering Computation Series, Chapter 9, 167-187, MIT Press, Cambridge, Massachusetts, 1992.
      

      

  [81]   M.A.  Behr,  L.P.  Franca,  and  T.E.  Tezduyar,  “Stabilized  finite  element  methods  for  the
      velocity-pressure-stress  formulation  of  incompressible  flows”,  Computer  Methods  in  Applied
      Mechanics and Engineering, 104 (1993) 31-48.
      

      

  [82]   M. Behr, T.E. Tezduyar, and H. Higuchi, “Wake interference behind two flat plates normal to the
      flow: A finite-element study”, Theoretical and Computational Fluid Mechanics, 2 (1991) 223-250.
      

      

  [83]   T.E. Tezduyar, R. Glowinski, and J. Liou, “Petrov-Galerkin methods on multiply-connected
      domains for the vorticity-stream function formulation of the incompressible Navier-Stokes equations”,
      International Journal for Numerical Methods in Fluids, 8 (1988) 1269-1290.
      

      

  [84]   T.E. Tezduyar and J. Liou, “Grouped element-by-element iteration schemes for incompressible
      flow computations”, Computer Physcis Communications, 53 (1989) 441-453.
      

      

  [85]   J. Liou and T.E. Tezduyar, “Iterative adaptive implicit-explicit methods for flow problems”,
      International Journal for Numerical Methods in Fluids, 11 (1990) 867-880.
      

      

  [86]   T.E.  Tezduyar,  J. Liou,  and  D.K.  Ganjoo,  “Incompressible  flow  computations  based  on
      the  vorticity-stream  function  and  velocity-pressure  formulations”,  Computers  &  Structures,
      35 (1990) 445-472.
      

      

  [87]   T.E.   Tezduyar   and   J. Liou,   “Adaptive   implicit-explicit   finite   element   algorithms   for
      fluid   mechanics   problems”,   Computer   Methods   in   Applied   Mechanics   and   Engineering,
      78 (1990) 165-179.
      

      

  [88]   T.E. Tezduyar, S. Mittal, and R. Shih, “Time-accurate incompressible flow computations with
      quadrilateral velocity-pressure elements”, Computer Methods in Applied Mechanics and Engineering,
      87 (1991) 363-384.
      

      

  [89]   T.E.  Tezduyar  and  R. Shih,  “Numerical  experiments  on  downstream  boundary  of  flow  past
      cylinder”, Journal of Engineering Mechanics, 117 (1991) 854-871.
      

      

  [90]   T.E. Tezduyar and J. Liou, “On the downstream boundary condition for the vorticity-stream
      function  formulation  of  two-dimensional  incompressible  flows”,  Computer  Methods  in  Applied
      Mechanics and Engineering, 85 (1991) 207-217.
      

      

  [91]   M. Behr,  J. Liou,  R. Shih,  and  T.E.  Tezduyar,  “Vorticity-stream  function  formulation  of
      unsteady incompressible flow past a cylinder: Sensitivity of the computed flow field to the location of
      the outflow boundary”, International Journal for Numerical Methods in Fluids, 12 (1991) 323-342.
      

      

  [92]   M. Behr, A. Johnson, J. Kennedy, S. Mittal, and T. Tezduyar, “Computation of incompressible
      flows with implicit finite element implementations on the Connection Machine”, Computer Methods
      in Applied Mechanics and Engineering, 108 (1993) 99-118.
      

      

  [93]   M. Behr,  D. Hastreiter,  S. Mittal,  and  T.E.  Tezduyar,  “Incompressible  flow  past  a  circular
      cylinder: Dependence of the computed flow field on the location of the lateral boundaries”, Computer
      Methods in Applied Mechanics and Engineering, 123 (1995) 309-316.
      

      

  [94]   S. Mittal  and  T. Tezduyar,  “A  unified  finite  element  formulation  for  compressible  and
      incompressible  flows  using  augumented  conservation  variables.”,  Computer  Methods  in  Applied
      Mechanics and Engineering, 161 (1998) 229-243.
      

      

  [95]   T. Tezduyar and S. Sathe, “Stabilization parameters in SUPG and PSPG formulations”, Journal
      of Computational and Applied Mechanics, 4 (2003) 71-88.
      

      

  [96]   J.E. Akin, T. Tezduyar, M. Ungor, and S. Mittal, “Stabilization parameters and smagorinsky
      turbulence model”, Journal of Applied Mechanics, 70 (2003) 2-9.
      

      

  [97]   T.E.   Tezduyar   and   J. Liou,   “Computation   of   spatially   periodic   flows   based   on   the
      vorticity-stream function formulation”, Computer Methods in Applied Mechanics and Engineering,
      83 (1990) 121-142.
      

      

  [98]   A.A. Johnson, T.E. Tezduyar, and J. Liou, “Numerical simulation of flows past periodic arrays
      of cylinders”, Computational Mechanics, 11 (1993) 371-383.
      

      

  [99]   T.E.  Tezduyar  and  T.J.R.  Hughes,  “Finite  element  formulations  for  convection  dominated
      flows with particular emphasis on the compressible Euler equations”, in Proceedings of AIAA 21st
      Aerospace Sciences Meeting, AIAA Paper 83-0125, Reno, Nevada, (1983).
      

      

 [100]   T.J.R Hughes and T.E. Tezduyar, “Finite element methods for first-order hyperbolic systems with
      particular emphasis on the compressible Euler equations”, Computer Methods in Applied Mechanics
      and Engineering, 45 (1984) 217-284.
      

      

 [101]   G.J. Le Beau and T.E. Tezduyar, “Finite element computation of compressible flows with the
      SUPG  formulation”,  in  Advances in Finite Element Analysis in Fluid Dynamics,  FED-Vol.123,
      ASME, New York, (1991) 21-27.
      

      

 [102]   G.J. Le Beau, S.E. Ray, S.K. Aliabadi, and T.E. Tezduyar, “SUPG finite element computation
      of compressible flows with the entropy and conservation variables formulations”, Computer Methods
      in Applied Mechanics and Engineering, 104 (1993) 397-422.
      

      

 [103]   S. Mittal, S. Aliabadi, and T. Tezduyar, “Parallel computation of unsteady compressible flows
      with the EDICT”, Computational Mechanics, 23 (1999) 151-157.
      

      

 [104]   T.E. Tezduyar, M. Senga, and D. Vicker, “Computation of inviscid supersonic flows around
      cylinders  and  spheres  with  the  supg  formulation  and  YZb  shock-capturing”,  Computational
      Mechanics, 38 (2006) 469-481.
      

      

 [105]   S.K.  Aliabadi  and  T.E.  Tezduyar,  “Space-time  finite  element  computation  of  compressible
      flows involving moving boundaries and interfaces”, Computer Methods in Applied Mechanics and
      Engineering, 107 (1993) 209-223.
      

      

 [106]   S.K.  Aliabadi  and  T.E.  Tezduyar,  “Parallel  fluid  dynamics  computations  in  aerospace
      applications”, International Journal for Numerical Methods in Fluids, 21 (1995) 783-805.
      

      

 [107]   V. Kalro  and  T. Tezduyar,  “Parallel  3D  computation  of  unsteady  flows  around  circular
      cylinders”, Parallel Computing, 23 (1997) 1235-1248.
      

      

 [108]   Y. Osawa,  V. Kalro,  and  T. Tezduyar,  “Multi-domain  parallel  computation  of  wake  flows”,
      Computer Methods in Applied Mechanics and Engineering, 174 (1999) 371-391.
      

      

 [109]   Y. Osawa and T. Tezduyar, “A multi-domain method for 3D computation of wake flow behind
      a circular cylinder”, Computational Fluid Dynamics Journal, 8 (1999) 296-308.
      

      

 [110]   Y. Osawa and T. Tezduyar, “3D simulation and visualization of unsteady wake flow behind a
      cylinder”, Journal of Visualization, 2 (1999) 127-134.
      

      

 [111]   V. Kalro and T. Tezduyar, “3D computation of unsteady flow past a sphere with a parallel finite
      element method”, Computer Methods in Applied Mechanics and Engineering, 151 (1998) 267-276.
      

      

 [112]   F. Rispoli, A. Corsini, and T.E. Tezduyar, “Finite element computation of turbulent flows with
      the discontinuity-capturing directional dissipation (DCDD)”, Computers & Fluids, published online,
      November 2005.
      

      

 [113]   T.E. Tezduyar and Y.J. Park, “Discontinuity capturing finite element formulations for nonlinear
      convection-diffusion-reaction equations”, Computer Methods in Applied Mechanics and Engineering,
      59 (1986) 307-325.
      

      

 [114]   T.E.  Tezduyar  and  Y. Osawa,  “Finite  element  stabilization  parameters  computed  from
      element  matrices  and  vectors”,  Computer  Methods  in  Applied  Mechanics  and  Engineering,
      190 (2000) 411-430.
      

      

 [115]   T.E.  Tezduyar,  Y.J.  Park,  and  H.A.  Deans,  “Finite  element  procedures  for  time-dependent
      convection-diffusion-reaction  systems”,  International  Journal  for  Numerical  Methods  in  Fluids,
      7 (1987) 1013-1033.
      

      

 [116]   A. Corsini, F. Rispoli, A. Santoriello, and T.E. Tezduyar, “Improved discontinuity-capturing
      finite element techniques for reaction effects in turbulence computation”, Computational Mechanics,
      38 (2006) 356-364.
      

      

 [117]   T.E.  Tezduyar,  “Finite  element  formulation  for  the  vorticity-stream  function  form  of  the
      incompressible  Euler  equations  on  multiply-connected  domains”,  Computer  Methods  in  Applied
      Mechanics and Engineering, 73 (1989) 331-339.
      

      

 [118]   T.E.  Tezduyar  and  D.K.  Ganjoo,  “Petrov-Galerkin  formulations  with  weighting  functions
      dependent upon spatial and temporal discretization: Applications to transient convection-diffusion
      problems”, Computer Methods in Applied Mechanics and Engineering, 59 (1986) 49-71.
      

      

 [119]   T.E.  Tezduyar,  “Adaptive  determination  of  the  finite  element  stabilization  parameters”,  in
      Proceedings  of  the  ECCOMAS  Computational  Fluid  Dynamics  Conference  2001  (CD-ROM),
      Swansea, Wales, United Kingdom, (2001).
      

      

 [120]   T.E. Tezduyar, “Calculation of the stabilization parameters in finite element formulations of flow
      problems”, in S.R. Idelsohn and V. Sonzogni, editors, Applications of Computational Mechanics in
      Structures and Fluids, 1-19, CIMNE, Barcelona, Spain, 2005.
      

      

 [121]   T.E.  Tezduyar,  “Determination  of  the  stabilization  and  shock-capturing  parameters  in  supg
      formulation  of  compressible  flows”,  in  Proceedings  of  the  European  Congress  on  Computational
      Methods in Applied Sciences and Engineering, ECCOMAS 2004 (CD-ROM), Jyvaskyla, Finland,
      (2004).
      

      

 [122]   T.E.  Tezduyar  and  M. Senga,  “Stabilization  and  shock-capturing  parameters  in  SUPG
      formulation  of  compressible  flows”,  Computer  Methods  in  Applied  Mechanics  and  Engineering,
      195 (2006) 1621-1632.
      

      

 [123]   J.E. Akin and T.E. Tezduyar, “Calculation of the advective limit of the SUPG stabilization
      parameter  for  linear  and  higher-order  elements”,  Computer  Methods  in  Applied  Mechanics  and
      Engineering, 193 (2004) 1909-1922.
      

      

 [124]   L. Catabriga, A.L.G.A. Coutinho, and T.E. Tezduyar, “Compressible flow SUPG stabilization
      parameters  computed  from  element-edge  matrices”,  Computational  Fluid  Dynamics  Journal,
      13 (2004) 450-459.
      

      

 [125]   L. Catabriga, A.L.G.A. Coutinho, and T.E. Tezduyar, “Compressible flow SUPG parameters
      computed  from  element  matrices”,  Communications  in  Numerical  Methods  in  Engineering,
      21 (2005) 465-476.
      

      

 [126]   L. Catabriga,  A.L.G.A.  Coutinho,  and  T.E.  Tezduyar,  “Compressible  flow  supg  parameters
      computed from degree-of-freedom submatrices”, Computational Mechanics, 38 (2006) 334-343.
      

      

 [127]   T.E. Tezduyar and M. Senga, “SUPG finite element computation of inviscid supersonic flows
      with YZb shock-capturing”, Computers & Fluids, published online, November 2005.
      

      

 [128]   T.E.   Tezduyar   and   S. Sathe,   “Enhanced-discretization   selective   stabilization   procedure
      (EDSSP)”, Computational Mechanics, 38 (2006) 456-468.
      

      

 [129]   G.J. Le Beau and T.E. Tezduyar, “Finite element solution of flow problems with mixed-time
      integration”, Journal of Engineering Mechanics, 117 (1991) 1311-1330.
      

      

 [130]   T.E. Tezduyar and S. Sathe, “Enhanced-discretization successive update method (EDSUM)”,
      International Journal for Numerical Methods in Fluids, 47 (2005) 633-654.
      

      

 [131]   T.E. Tezduyar, M. Behr, S.K. Aliabadi, S. Mittal, and S.E. Ray, “A new mixed preconditioning
      method for finite element computations”, Computer Methods in Applied Mechanics and Engineering,
      99 (1992) 27-42.
      

      

 [132]   V. Kalro and T. Tezduyar, “Parallel iterative computational methods for 3D finite element flow
      simulations”, Computer Assisted Mechanics and Engineering Sciences, 5 (1998) 173-183.
      

      

 [133]   T.E. Tezduyar and S. Sathe, “Enhanced-approximation linear solution technique (EALST)”,
      Computer Methods in Applied Mechanics and Engineering, 193 (2004) 2033-2049.
      

      

 [134]   T.E.  Tezduyar  and  A. Sameh,  “Parallel  finite  element  computations  in  fluid  mechanics”,
      Computer Methods in Applied Mechanics and Engineering, 195 (2006) 1872-1884.
      

      

 [135]   J.G. Kennedy, M. Behr, V. Kalro, and T.E. Tezduyar, “Implementation of implicit finite element
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