A multi-dimensional upwind matrix distribution scheme for conservative laws

Computers and Fluids

Volumn 33, Issue 5-6, 2004, Pages 755-769

  Henriques, J C C ^a   Gato, L M C ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

MATRIX ALGEBRA; NUMERICAL METHODS; SHOCK WAVES;

THREE-DIMENSIONAL FLOWS;

FLOW OF FLUIDS;

ENTHALPY; ENTROPY; MATHEMATICAL METHOD; SHOCK WAVE; THREE-DIMENSIONAL FLOW;

EID: 0346255642     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2003.05.005     Document Type: Article

References (24)

1. Deconinck H, Sermeus K, Abgrall R. Status of multidimensional upwind residual distribution schemes and applications in aeronautics. AIAA Paper 2000-2328, 2000
2. Roe P. Fluctuations and signals, a framework for numerical evolution problems Numerical methods for fluid dynamics 1982 Academic Press
3. Roe P. Multidimensional upwinding--motivation and concepts. Lecture series 1994-05, von Kármán Institute for Fluid Dynamics, 1994
4. Deconinck H. Paillère H. Struijs R. Roe P. Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws Comput. Mech. 11 5/6 1993 323-340
5. Paillère H. Multidimensional upwind residual distribution schemes for the Euler and Navier-Stokes equations on unstructured grids. PhD thesis, Free University of Brussels, 1995
6. van der Weide E. Compressible flow simulation on unstructured grids using multi-dimensional upwind schemes. PhD thesis, Technishe Universiteit Delft, 1998
7. Issman E. Degrez G. Deconinck H. Implicit upwind residual distribution Euler and Navier-Stokes solver on unstructured meshes AIAA J. 34 10 1996 2021-2028
8. Struijs R. A multi-dimensional upwind discretization method for the Euler equations on unstructured grids. PhD thesis, The University of Delft, The Netherlands, 1994
9. Sidilkover D. Numerical solution to steady-state problems with discontinuities. PhD thesis, The Weizmann Institute of Science, Rehovot, Israel, 1989
10. Abgrall R, Barth TJ. Residual distribution schemes for conservation laws via adaptive quadrature. NASA Technical Report NAS-00-016, 2000
11. Abgrall R. Toward the ultimate conservative scheme: following the quest J. Comput. Phys. 167 2 2001 277-315
12. Caraeni D, Caraeni M, Fuchs L. A parallel multidimensional upwind algorithm for LES. AIAA Paper 2001-2547, 2001
13. Rad M. A residual distribution approach to the Euler equations that preserves potential flow. PhD thesis, The University of Michigan, 2001
14. Nishikawa H. On grids and solutions from residual minimization. PhD thesis, The University of Michigan, 2001
15. Henriques J.C.C. Gato L.M.C. Use of a residual distribution Euler solver to study the occurrence of transonic flow in Wells turbine rotor blades Comput. Mech. 29 3 2002 243-253
16. Hughes T. Mallet M. A new finite element formulation for CFD: III. The generalized streamline operator for advective-diffusive systems Comput. Methods Appl. Mech. Eng. 58 1996 305-328
17. Henriques JCC. Resolution of the Euler equations for three-dimensional flow using the multidimensional upwind residual distribution method (in Portuguese). PhD thesis, Instituto Superior Técnico, 2003
18. Roe P. Approximate Riemann solvers, parameter vectors, and difference schemes J. Comput. Phys. 43 1981 157-172
19. van der Weide E. Deconinck H. Positive matrix distribution schemes for hyperbolic systems, with application to the Euler equations Computational fluid dynamics'96 1996 John Wiley - Sons
20. Cśk A, Sterck H, Ricchiuto M, Poedts S, Deconinck H, Roose D. Explicit and implicit parallel upwind monotone residual distribution solver for the time dependent ideal 2D and 3D magnetohydrodynamic equations on unstructured grids. In: Proceedings of the Second International Conference on Engineering Computational Technology, Leuven, 2000. p. 311-23
21. Test cases for inviscid flow fields methods. AGARD Advisory Report No. 211, 1985
22. Politis ES, Mathioudakis K, Papailiou KD. Annular compressor cascade with and without tip-clearance: a test case for inviscid and viscous computations. Technical Report, Laboratory of Thermal Turbomachinery, National Technical University of Athens, 2000
23. Schöberl J. NETGEN--an advancing front 2D/3D-mesh generator based on abstract rules Comput. Visualization Sci. 1 1 1997 41-52
24. Owen SJ, White DR. Mesh-based geometry: a systematic approach to constructing geometry from a finite element mesh. In: 10th International Meshing Roundtable, Sandia National Laboratories, 2001. p. 83-96