A block LU-SGS implicit dual time-stepping algorithm for hybrid dynamic meshes

Computers and Fluids

Volumn 33, Issue 7, 2004, Pages 891-916

  Zhang, L P ^a   Wang, Z J ^b  

^a CHINA AERODYNAMICS RESEARCH AND DEVELOPMENT CENTER   (China)

^b Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; COMPUTER SIMULATION; INTERPOLATION; ITERATIVE METHODS; PROBLEM SOLVING; TRANSONIC FLOW;

INVISCID FLUX; TIME STEPPING ALGORITHMS;

SUPERSONIC FLOW;

ALGORITHM; MATHEMATICAL METHOD; SUPERSONIC FLOW; TRANSONIC FLOW;

EID: 1542535026     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2003.10.004     Document Type: Article

References (42)

1. Jameson A, Baker TJ, Weatherill NP. Calculation of inviscid transonic flow over a complete aircraft. AIAA Paper 86-0103, 1986
2. Peraire J. Vahdati M. Morgan K. Zienkiewicz O.C. Adaptive remeshing for compressible flow computations J. Comput. Phys. 72 1987 449-466
3. Lohner R. Parikh P. Generation of three-dimensional unstructured grids by the advancing front method Int. J. Numer. Meth. Fluids 8 1988 1135-1149
4. Anderson W.K. A grid generation and flow solution method for the Euler equations on unstructured grids J. Comput. Phys. 110 1994 23-38
5. Venkatakrishnan V. A perspective on unstructured grid flow solvers. AIAA Paper 95-0667, January 1995
6. Pirzadeh S. Three-dimensional unstructured viscous grids by the advancing-layers method AIAA J. 34 1 1996 43-49
7. Weatherill N.P. Unstructured grids: Procedures and applications Thompson J.F. Soni B.K. Handbook of grid generation 1998 CRC Press
8. Kallinderis Y. Khawaja A. McMorris H. Hybrid prismatic/tetrahedral grid generation for complex geometries AIAA J. 34 1996 291-298
9. Coirier WJ, Jorgenson PCE. A mixed volume grid approach for the Euler and Navier-Stokes equations. AIAA Paper 96-0762, January 1996
10. Bayyuk SA, Powell KG, van Leer B. A simulation technique for 2D unsteady inviscid flows around arbitrarily moving and deforming bodies of arbitrarily geometry. AIAA Paper 93-3391-CP, 1993
11. Coirier W.J. Powell K.G. Solution-adaptive Cartesian cell approach for viscous and inviscid flows AIAA J. 34 1996 938-945
12. Aftosmis MJ, Berger MJ, Melton JE. Robust and efficient Cartesian mesh generation for component-based geometry. AIAA Paper No 97-0196, 1997
13. Karman SL. SPLITFLOW: A 3D unstructured Cartesian/prismatic grid CFD code for complete geometries. AIAA-95-0343, 1995
14. Wang Z.J. A fast nested multi-grid viscous flow solver for adaptive Cartesian/quad grids Int. J. Numer. Meth. Fluids 33 5 2000 657-680
15. Wang Z.J. Chen R.F. Anisotropic solution-adaptive viscous cartesian grid method for turbulent flow simulation AIAA J. 40 2002 1969-1978
16. Zhang LP, Zhang HX, Gao SC. A Cartesian/unstructured hybrid grid solver and its applications to 2D/3D complex inviscid flow fields. In: Proceedings of the 7th International Symposium on CFD, Beijing, China, September 1997. p. 347-52
17. Zhang LP, Yang YJ, Zhang HX. Numerical simulations of 3D inviscid/viscous flow fields on Cartesian/unstructured/prismatic hybrid grids. In: Proceedings of the 4th Asian CFD Conference, Mianyang, Sichuan, China, September 2000
18. Murman S, Aftosmis M, Berger M. Implicit approaches for moving boundaries in a 3-d Cartesian method. AIAA Paper 2003-1119, 2003
19. Van Leer B. Towards the ultimate conservative difference scheme J. Comput. Phys. 32 1979 101
20. Vassberg JC. A fast, implicit unstructured-mesh Euler method. AIAA Paper 92-2693, 1992
21. Venkatakrishnan V, Mavriplis DJ. Implicit method for the computation of unsteady flows on unstructured grids. AIAA Paper 95-1705, 1995
22. Crumpton PI, Giles MB. Implicit time accurate solutions on unstructured dynamic grids. AIAA Paper 95-1671, 1995
23. Luo H. Baum J.D. Lohner R. A fast, matrix-free implicit method for compressible flows on unstructured grid J. Comput. Phys. 146 1998 664-690
24. Chen R.F. Wang Z.J. Fast, block lower-upper symmetric Gauss Seidel scheme for arbitrary grids AIAA J. 38 12 2000 2238-2245
25. Van Leer B, Mulder WA. Relaxation methods for hyperbolic conservation laws. In: Proceedings of the INRIA Workshop on Numerical Methods for the Euler Equations of Fluid Dynamics, Rocquencourt, France, December 1983
26. Jameson A, Caughey DA. How many steps are required to solve the Euler equations of steady compressible flow: in search of a fast solution algorithm. In: 15th AIAA Computational Fluid Dynamics Conference, Anaheim, CA, June 2001
27. Batina J.T. Unsteady Euler algorithm with unstructured dynamic mesh for complex-aircraft aerodynamic analysis AIAA J. 29 3 1991 327-333
28. Luo H. Baum J.D. Lohner R. An accurate, fast, matrix-free implicit method for computing unsteady flows on unstructured grid Comput. Fluids 30 2001 137-159
29. Singh K.P. Newman J.C. Baysal O. Dynamic unstructured method for flows past multiple objects in relative motion AIAA J. 33 4 1995 641-649
30. Jameson A. Time-dependent calculations using multi-grid, with applications to unsteady flows past airfoils and wings, AIAA Paper No 91-1596
31. Merry M.A. Shephard M.S. Automatic three-dimensional mesh generation by the modified-octree technique Int. J. Numer. Meth. Eng. 20 1984 1965-1990
32. Lohner R. Some useful data structures for the generation of unstructured grids Comm. Appl. Numer. Meth. 4 1988 123-135
33. Parikh P, Pirzadeh S, Lohner R. A package for 3D unstructured grid generation, finite element flow solution and flow field visualization. NACA CR-182090, 1990
34. Zhang L.P. Guo C. Zhang H.X. Gao S.C. An unstructured grid generator and its applications for three-dimensional complex geometries Chinese J. Comput. Phys. 16 5 1999 552-558
35. Pirzadeh S. Structured background grids for generation of unstructured grids by advancing front method AIAA J. 31 2 1993 257-264
36. Launder B.E. Spalding D.B. The numerical computation of turbulent flows Comput. Meth. Appl. Mech. Eng. 3 1974 269-289
37. Roe P.L. Approximate Riemann solvers, parameter vectors, and difference schemes J. Comput. Phys. 43 1981 357-372
38. Venkatakrishnan V. Convergence to steady-state solutions of the Euler equations on unstructured grids with limiters J. Comput. Phys. 118 1 1995 120-130
39. Thomas P.D. Lombard C.K. Geometric conservation law and it's application to flow computations on moving grids AIAA J. 17 10 1979 1030-1037
40. Wang ZJ, Yang HQ. Unstready flow simulation using a zonal multi-grid approach with moving boundaries. AIAA Paper 94-0057, 1994
41. Yoon S. Jameson A. Lower-upper symmetric-Gauss-Seidel method for the Euler and Navier-Stokes equations AIAA J. 26 1988 1025-1026
42. Landon H. Compendium of unsteady aerodynamic measurements. AGARD Report No 702, 1983