A scaled and minimum overlap restricted additive Schwarz method with application to aerodynamics

Computer Methods in Applied Mechanics and Engineering

Volumn 184, Issue 2-4, 2000, Pages 391-400

  Sarkis, Marcus ^a   Koobus, Bruno ^b  

^a University of Colorado at Boulder   (United States)

^b INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; DISTRIBUTED COMPUTER SYSTEMS; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; LINEAR ALGEBRA; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; TRANSITION FLOW; WINGS;

DEFECT CORRECTION METHOD; DISTRIBUTED MEMORY COMPUTERS; JACOBI ALGORITHM; KRYLOV SUBSPACE METHOD; RESTRICTED ADDITIVE SCHWARZ METHOD;

ALGORITHMS;

AERODYNAMICS; COMPUTER ANALYSIS; MATHEMATICAL METHOD;

EID: 0034647011     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00236-4     Document Type: Article

References (21)

1. Bohmer K., Hemker P., Stetter H. The defect correction approach. Comput. Supp. 5:1984;1-32.
2. X.-C. Cai, M. Sarkis, A restricted additive Schwarz preconditioner for general sparse linear systems, SIAM J. Sci. Comput., 21 (1999) 792-797.
3. Désidéri J.-A, Hemker P.W. Convergence analysis of the defect-correction iteration for hyperbolic problems. SIAM J. Sci. Comput. 16:1995;88-118.
4. B. Koobus, C. Farhat, Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes, Comput. Meth. Appl. Mech. Engrg. 170 (1999) 103-129. Also published as AIAA Paper 98-0113, 36th Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 12-15 January 1998.
5. B. Koobus, C. Farhat, Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes, Comput. Meth. Appl. Mech. Engrg. 170 (1999) 103-129. Also published as AIAA Paper 98-0113, 36th Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 12-15 January 1998.
6. B. Koobus, C. Farhat, Time-accurate algorithms for the evaluation of the viscous fluxes associated with unsteady flows and unstructured moving meshes, AIAA Paper 96-2384, 14th AIAA Applied Aerodynamics Conference, New Orleans, Louisiana, 18-20 June 1996.
7. Tran H., Koobus B., Farhat C. Numerical simulation of vortex shedding flows past moving obstacles using the. k-ε turbulence model on unstructured dynamic meshes La Revue Européenne des Eléments Finis. 6(5/6):1998;611-642.
8. Dryja M., Widlund O.B. Domain decomposition algorithms with small overlap. SIAM J. Sci. Comput. 15:1994;604-620.
9. Farhat C., Fezoui L., Lantéri S. Two-dimensional viscous flow computations on the connection machine: unstructured meshes upwind schemes and massively parallel computations. Comput. Meth. Appl. Mech. Engrg. 102:1993;61-88.
10. Farhat C., Lantéri S. Simulation of compressible viscous flows on a variety of mpps: computational algorithms for unstructured dynamic meshes and performance results. Comput. Meth. Appl. Mech. Engrg. 119:1994;35-60.
11. Farhat C., Lanteri S., Simon H. TOP/DOMDEC: a software tool for mesh partitioning and parallel processing and applications to CSM and CFD computations. Comput. Sys. Engrg. 46:1995;13-26.
12. Farhat C., Lesoinne M., Maman N. Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation geometric conservation and distributed solution. Internat. J. Numer. Meth. Fluids. 21:1995;807-835.
13. Fezoui L., Stoufflet B. A class of implicit upwind schemes for euler simulations with unstructured meshes. J. Comp. Phys. 84:1989;174-206.
14. Gropp W., Lusk E., Skjellum A. Using MPI - Portable Parallel Programming with the Message-Passing Interface. 1995;The MIT Press, Cambridge.
15. M. Lesoinne, C. Farhat, Geometric conservation laws for aeroelastic computations using unstructured dynamic meshes, AIAA Paper 95-1709, in: 12th AIAA Computational Fluid Dynamics Conference, San Diego, 19-22 June 1995.
16. Lesoinne M., Farhat C. Geometric conservation laws for flow problems with moving boundaries and deformable meshes and their impact on aeroelastic computations. Comput. Meth. Appl. Mech. Engrg. 134:1996;71-90.
17. Martin R., Guillard H. A second-order defect correction scheme for unsteady problems. Comput. Fluids. 25:1996;9-27.
18. Nkonga B., Guillard H. Godunov type method on nonstructured meshes for three-dimensional moving boundary problems. Comp. Meth. Appl. Mech. Engrg. 113:1994;183-204.
19. Saad Y., Schultz M. GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7:1996;856-869.
20. Smith B., Bjørstad P., Gropp W. Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial. 1996;Cambridge University Press, Cambridge.
21. E.C. Yates, AGARD Standard Aeroelastic Configuration for Dynamiic Response, Candidate Configuration I. -Wing 445.6, NASA, TM-100492, 1987.