Implicit space-time residual distribution method for unsteady laminar viscous flow

Computers and Fluids

Volumn 34, Issue 4-5 SPEC.ISS., 2005, Pages 593-615

  Dobeš, Jiří ^a,b   Ricchiuto, Mario ^a   Deconinck, Herman ^b  

^a VON KARMAN INSTITUTE FOR FLUID DYNAMICS   (Belgium)

^b CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; MAGNETOHYDRODYNAMICS; NONLINEAR SYSTEMS; VISCOUS FLOW;

HYPERBOLIC CONSERVATION LAWS; RESIDUAL DISTRIBUTION (RD); TIME MARCHING; UPWIND RESIDUAL DISTRIBUTION;

LAMINAR FLOW;

FINITE VOLUME TECHNIQUE; UNSTEADY FLOW; VISCOUS FLOW;

EID: 11144294114     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2003.09.007     Document Type: Article

References (17)

1. Dobeš J. Implicit space-time method for laminar viscous flow. Project Report 2002-06, von Karman Institute for Fluid Dynamics, Belgium, 2002
2. Cśk A. Deconinck H. Space time residual distribution schemes for hyperbolic conservation laws on unstructured linear finite elements Int. J. Numer. Methods Fluids 40 2002 573-581
3. Abgrall R. Mezine M. Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems J. Comput. Phys. 188 2003 16-55
4. Cśk ÁG. Upwind residual distribution schemes for general hyperbolic conservation laws and application to ideal magnetohydrodynamics. PhD thesis, Katholieke Universiteit Leuven, Faculteit Wetenschappen Centrum voor Plasma-Astrofysica, Belgium, Oct 2002
5. Mezine M, Abgrall R. Upwind multidimensional residual schemes for steady and unsteady flows. In: ICCFD2, International Conference on Computational Fluid Dynamics 2, Sydney, Australia, 15-19 July 2002
6. Deconinck H. Sermeus K. Abgrall R. Status of multidimensional upwind residual distribution schemes and applications in aeronautics AAIA 2328 2000
7. Ferrante A. Solution of the unsteady Euler equations using residual distribution and flux corrected transport. Project Report VKI PR 1997-08, von Karman Institute for Fluid Dynamics, Belgium, Chausée do Waterloo 72, B-1640 Rhode Saint Genèse, Belgium, June 1997
8. Hubbard M. Roe P. Compact high-resolution algorithms for time-dependent advection on unstructured grids Int. J. Numer. Methods Fluids 33 2000
9. Cśk A, Deconinck H. Space time residual distribution schemes for hyperbolic conservation laws on unstructured linear finite elements. In: Baines M, editor. Numerical methods for fluid dynamics VII, 2001. p. 557-64. Presented at the ICFD Conference in Oxford, March 2001
10. Abgrall R, Mezine M. Construction of second order accurate monotone and stable residual distributive schemes: The unsteady case. RC-MAB Report 2001-33, Universite Bordeaux 1, 2001
11. Zienkiewicz O.C. Taylor R.L. Finite element method, volume: The basis 5th ed. 2000 McGraw-Hill
12. Cśk A, Ricchiuto M, Deconinck H, Poedts S. Space-time residual distribution schemes for hyperbolic conservation laws. In: 15th AIAA Computational Fluid Dynamics Conference, Anaheim, California, June 2001, AIAA 2001-2617
13. Deconinck H. Roe P.L. Struijs R. A multidimensional generalization of Roe's flux difference splitter for the Euler equations Comput. Fluids 22 1993 215-222
14. Schlichting H. Boundary-layer theory 1979 McGraw-Hill
15. Yee H.C. Sandham N.D. Djomehri M.J. Low-dissipative high-order shock-capturing methods using characteristic-based filters J. Comput. Phys. 150 1999 199-238
16. Balay S, Gropp WD, McInnes LC, Smith BF. PETSc home page http://www.mcs.anl.gov/petsc, 2001
17. Woodward P. Colella P. The numerical simulation of two-dimensional fluid flow with strong shocks J. Comput. Phys. 54 1984 115-173