Advertisement

High Performance Computing of Fluid-Structure Interactions in Hydrodynamics Applications Using Unstructured Meshes with More than One Billion Elements

  • S. Aliabadi
  • A. Johnson
  • J. Abedi
  • B. Zellars
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2552)

Abstract

A parallel finite element fluid-structure interaction solver is developed for numerical simulation of water waves interacting with floating objects. In our approach, the governing equations are the Navier-Stokes equations written for two incompressible fluids. An interface function with two distinct values serves as a marker identifying the location of the interface. The numerical method is based on writing stabilized finite element formulations in an arbitrary Lagrangian-Eulerian frame. This allows us to handle the motion of the floating objects by moving the computational nodes. In the meshmoving schemes, we assume that the computational domain is made of elastic materials. The linear elasticity equations are solved to obtain the displacements. In order to update the position of the floating object, the nonlinear rigid body dynamics equations are coupled with the governing equations of fluids and are solved simultaneously. The mooring forces are modeled using nonlinear cables and linear spring models.

Keywords

Coarse Mesh Message Passing Interface High Performance Computing Unstructured Mesh Finite Element Formulation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Rosen, B. S. and Laiosa, J. P., SPLASH Nonlinear and Unsteady Free-Surface Analysis Code for Grand Prix Yacht Racing. The Thirteenth Chesapeake Sailing Yacht Symposium, Annapolis, MD, Jan. (1997).Google Scholar
  2. [2]
    Aliabadi, S. and Tezduyar, T.: 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.zbMATHCrossRefGoogle Scholar
  3. [3]
    Sundel, T., Computation of the Free-Surface Flows Around a Ship Using NS Solver FINFLO. VTT Manufacturing Technology, 1997.Google Scholar
  4. [4]
    Aliabadi, S. K. and Tezduyar, T.E.: Space-time Finite Element Computation of Compressible Flows Involving Moving Boundaries and Interfaces. Computer Methods in Applied Mechanics and Engineering, 107 (1993) 209–223.zbMATHCrossRefGoogle Scholar
  5. [5]
    Hughes, T. J. R. and Brooks, A. N., A multi-dimensional upwind scheme with no crosswind diffusion. In: Hughes, T. R. (Ed.): Finite Element Methods for Convection Dominated Flows, ASME, New York, AMD-Vol. 34 (1979) 19–35.Google Scholar
  6. [6]
    Donea, J.: An Arbitrary Lagrangian-Eulerian Finite Element Method for Transient Fluid-Structure Interactions, Computer Methods in Applied Mechanics and Engineering Computational Mechanics, 33 (1982) 689–723.zbMATHCrossRefGoogle Scholar
  7. [7]
    Johnson, A. and Tezduyar, T., Advanced Mesh Generation and Update Methods for 3D Flow Simulations. Computational Mechanics, 23 (1999) 130–143.zbMATHCrossRefGoogle Scholar
  8. [8]
    Aliabadi, S., Johnson, A., Zellars, B., Abatan, A., and Berger, C.: Parallel Simulation of Flows in Open Channels. Journal of Future Generation Computer Systems, Vol. 18/5 (2002) 627–637.Google Scholar
  9. [9]
    Aliabadi, S. and Shujaee, S.: Free Surface Flow Simulations Using Parallel Finite Element Method. Simulation, Volume 76, No. 5, ISSN 0037-5497/01 (2001) 257–262.CrossRefGoogle Scholar
  10. [10]
    Aliabadi, S., Abedi, J., Zellars, B., and Bota, K.: New Finite Element Technique for Simulation of Wave-Object Interaction. AIAA Paper 2002-0876 (2002).Google Scholar
  11. [11]
    Johnson, A. and Aliabadi, S., Application of Automatic Mesh Generation and Mesh Multiplication Techniques to Very Large Scale Free-Surface Flow Simulations. Proceeding of the 7th International Conference on Numerical Grid Generation in Computational Field Simulations, Whistler, British Columbia, Canada, September 2000.Google Scholar
  12. [12]
    Aliabadi, S., and Tezduyar, T.: Parallel Fluid Dynamics Computations in Aerospace Applications, International Journal for the Numerical Methods in Fluids, 21 (1995) 783–805.zbMATHCrossRefMathSciNetGoogle Scholar
  13. [13]
    Hirt, W. and Nichols, B. D., Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries. Journal of Computational Physics, 39 (1981) 201–225.zbMATHCrossRefGoogle Scholar
  14. [14]
    Farhat, C., Lesoinne, M., and Maman, N., Mixed Explicit/Implicit Time Integration of Coupled Aeroelastic Problems: Three-Field Formulation, Geometric Conservation and Distributed Solution. International Journal for the Numerical Methods in Fluids, 21 (1995) 807–835.zbMATHCrossRefMathSciNetGoogle Scholar
  15. [15]
    Karypis, G. and Kumar, V., Parallel Multilevel k-Way Partitioning Scheme for Irregular Graphs. SIAM Review, 41 (1999) 278–300.zbMATHCrossRefMathSciNetGoogle Scholar
  16. [16]
    Saad, Y. and Schultz, M., GMRES: Generalized Minimal Residual Algorithm for Solving Nonsymmetic Linear Systems. SIAM Journal of Scientific and Statistical Computing, 7 (1986) 856–896.zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • S. Aliabadi
    • 1
  • A. Johnson
    • 2
  • J. Abedi
    • 1
  • B. Zellars
    • 1
  1. 1.Department of EngineeringClark Atlanta UniversityAtlantaUSA
  2. 2.Network Computing Services, Inc.Army HPC Research CenterMinneapolisUSA

Personalised recommendations