Parallel Implementations of a Finite Element Formulation for Fluid-Structure Interactions in Interior Flows

Abstract In this paper, shared-memory parallel implementations of a finite element formulation for unsteady interior flows with fluid-structure interactions are presented. The parallel computing platforms targeted are the CRAY C90, the Silicon Graphics (SGI) ONYX and the SGI Power Challenge. The formulation is based on the stabilized space-time finite element method developed earlier for a more general class of flow problems involving moving boundaries and interfaces. The specific test problem used in the performance evaluations involves fluid-structure interactions between a barotropic working fluid and one of the two pistons surrounding this fluid. We demonstrate that advanced formulations applicable to complex problems can be implemented in a parallel computing environment without resulting in a significant distraction from the scientific objectives of solving such complex problems.

[1]  T. Tezduyar,et al.  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 , 1992 .

[2]  Tayfun E. Tezduyar,et al.  PARALLEL COMPUTATION OF INCOMPRESSIBLE FLOWS WITH COMPLEX GEOMETRIES , 1997 .

[3]  Tayfun E. Tezduyar,et al.  Flow simulation and high performance computing , 1996 .

[4]  T. Tezduyar,et al.  Space-time finite element computation of compressible flows between moving components , 1995 .

[5]  T. Tezduyar,et al.  Space-time finite element computation of compressible flows involving moving boundaries and interfaces☆ , 1993 .

[6]  Vipin Kumar,et al.  A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs , 1998, SIAM J. Sci. Comput..

[7]  Marek Behr,et al.  3D Simulation of Flow Problems with Parallel Finite Element Computations on the Cray T3D , 1995 .

[8]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[9]  Tayfun E. Tezduyar,et al.  Simulation of flow problems with moving mechanical components, fluid–structure interactions and two‐fluid interfaces , 1997 .

[10]  Tayfun E. Tezduyar,et al.  Simulation of multiple spheres falling in a liquid-filled tube , 1996 .

[11]  Tayfun E. Tezduyar,et al.  PARALLEL FINITE ELEMENT SIMULATION OF 3D INCOMPRESSIBLE FLOWS: FLUID-STRUCTURE INTERACTIONS , 1995 .

[12]  Tayfun E. Tezduyar,et al.  3D Simulation of fluid-particle interactions with the number of particles reaching 100 , 1997 .

[13]  Tayfun E. Tezduyar,et al.  Parallel fluid dynamics computations in aerospace applications , 1995 .

[14]  George Karypis,et al.  Multilevel k-way Partitioning Scheme for Irregular Graphs , 1998, J. Parallel Distributed Comput..

[15]  Marek Behr,et al.  Parallel finite-element computation of 3D flows , 1993, Computer.

[16]  S. Mittal,et al.  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 , 1992 .