Parallel computation of unsteady three-dimensional incompressible viscous flow using an unstructured multigrid method

Computers and Structures

Volumn 82, Issue 28 SPEC. ISS., 2004, Pages 2425-2436

  Tai, C H ^a,b   Zhao, Y ^b   Liew, K M ^a,b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Computational Fluid Dynamics (CFD); High order scheme; Matrix free implicit method; Parallel multigrid computing; Unsteady incompressible flow; Unstructured tetrahedral grid

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL FLUID DYNAMICS; DATA COMMUNICATION SYSTEMS; INCOMPRESSIBLE FLOW; MATRIX ALGEBRA; THREE DIMENSIONAL; VISCOUS FLOW;

HIGH-ORDER SCHEME; MATRIX-FREE IMPLICIT METHOD; PARALLEL MULTIGRID COMPUTING; UNSTEADY INCOMPRESSIBLE FLOW; UNSTRUCTURED TETRAHEDRAL GRID;

PARALLEL PROCESSING SYSTEMS;

EID: 4944241001     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.04.014     Document Type: Conference Paper

References (21)

1. Lallemand M, Steve H, Dervieux A. Unstractnred multigridding by volume agglomeration. Comput Fluids 1992;21:397-433.
2. Mavriplis D. Three-diniensional multigrid for the Euler equations. AIAA J 1992;30:1753-61.
3. Peraire J, Morgan K, Peiro J. Multigrid solution of the 3D compressible Euler equations on unstructured tetrahedral grids. Int J Numer Methods Engng 1993;36:1029-44.
4. Mavriplis DJ. Large-scale Parallel Viscous Flow Computations Using An Unstructured Multigrid Algorithm. NASA/CR-1999-209724, ICASE Report No. 99-44, November 1999.
5. Mavriplis DJ. Parallel Unstructured Mesh Analysis Of High-Lift Configurations. AIAA Paper 2000-0923, 38th AIAA Aerospace Sciences Meeting, January 2000.
6. Llorente IM, Prieto-Matias M, Diskin B. An Efficient Parallel Multigrid Solver for 3-D Convection-Dominated Problems. NASA/CR-2000-210319, ICASE Report No. 2000-29, August 2000.
7. Chorin AJ. A numerical method for solving incompressible viscous flow problems. J Comput Phys 1967;2(1):12-26.
8. Drikakis D, Govatsos PA, Papantonis DE. A characteristic-based method for incompressible flows, Int J Numer Methods Fluids 1994:19(8):667-85.
9. Zhao Y, Tai CH. Higher-order characteristics-based methods for incompressible flow computation on unstructured grids. AIAA J 2001;39(7):1280-7.
10. van Leer B. Towards the ultimate conservation difference scheme V, A second-order sequel to Godunov's method. J Comput Phys 1979;32:101-36.
11. Lohner R. CFD Via Unstructured Grids: Trends and Applications. In: Caughey DA, Hafez MM, editors. Frontier of Computational Fluid Dynamics 1994. John Wiley & Sons; 1994. p. 117-33.
12. Eberle A, Three-dimensional Euler Calculations using Characteristics Flux Extrapolation. AIAA Paper 85-0119, 1985.
13. Drikakis D, Govatsos PA, Papantonis DE. A characteristic-based method for incompressible flows. Int J Numer Methods Fluids 1994;19(8):667-85.
14. Tai CH, Zhao Y. Parallel unsteady incompressible viscous flow simulation using an unstructured multigrid method. J Comput Phys 2003;192:277-311.
15. Zhao Y, Tan HH, Zhang BL. A high-resolution characteristics-based implicit dual time-stepping VOF method for free surface flow annulation on unstructured grids, J Comput Phys 2002;183:233-73.
16. Lou H, Baum JD, Löhner R. An accurate fast, matrix-free implicit method for computing unsteady flows on unstructured grids. Comput Fluids 2001;30:137-59.
17. Lin PT. Implicit Time Dependent Calculations for Compressible and Incompressible Flows on Unstructured Meshes. MSc Thesis, Department of Mechanical and Aerospace Engineering, Princeton University, 1994.
18. Gropp W, Lusk E, Skjellum A. Using MPI portable parallel programming with the message-passing interface. Cambridge. Massachusetts: The MIT Press; 1994.
19. OpenMP home page, OpenMP: Simple, Portable, Scalable SMP Programming. Available from: http://www.openmp. org, 1999.
20. Karypis G, Kumar V. Metis: A Software Package for Partitioning Unstructured Graphs, Partitioning Meshes, and Computing Fill-Reducing Orderings of Sparse Matrices, Version 4.0. University of Minnesota, Department of Computer Science, September 1998.
21. Jiang B, Lin TL, Povinelli LA. Large-scale computation of incompressible viscous flow by least-squares finite element method. Comput Methods Appl Mech Engng 1994;114: 213-231.