Finite volume treatment of dispersion-relation-preserving and optimized prefactored compact schemes for wave propagation

Journal of Computational Physics

Volumn 210, Issue 2, 2005, Pages 705-729

  Popescu, Mihaela ^a   Shyy, Wei ^a,b   Garbey, Marc ^c  

^a UNIVERSITY OF FLORIDA   (United States)

^b Department of Ecology and Evolutionary Biology   (United States)

^c University of Houston ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; DISPERSION (WAVES); NONLINEAR EQUATIONS; WAVE EQUATIONS; WAVE PROPAGATION;

AERO-ACOUSTICS; COMPACT SCHEMES; DISPERSION-RELATION-PRESERVING; FINITE-VOLUME; LINEAR WAVE EQUATION; NONLINEAR WAVES EQUATION; NUMERICAL TECHNIQUES; PROPERTY; SHORT WAVES; WORKERS';

QUANTUM THEORY;

EID: 23844548043     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.05.011     Document Type: Article

References (38)

1. J. Hardin M.Y. Hussaini Computational Aeroacoustics 1992 Springer New York/Berlin
2. C.K.W. Tam J.C. Webb Dispersion-relation-preserving finite difference schemes for computational acoustic J. Comput. Phys. 107 1993 262
3. C.K.W. Tam J.C. Webb Z. Dong A study of the short wave components in computational acoustics J. Comput. Acoust. 1 1993 1-30
4. R. Hixon, Evaluation of high-accuracy MacCormack-type scheme using benchmark problems, NASA Contractor Report 202324, ICOMP-97-03, 1997.
5. C. Kim, P.L. Roe, J.P. Thomas, Accurate schemes for advection and aeroacoustic, Technical Paper 97-2091, AIAA Press, Washington, DC, 1997.
6. S.Y. Lin Y.S. Chin Comparison of higher resolution Euler schemes for aeroacoustics computation AIAA J. 33 1995 237
7. W. Shyy Computational Modeling for Fluid Flow and Interfacial Transport 1994 Elsevier Amsterdam, The Netherlands revised printing 1997
8. W. Shyy A study of finite difference approximations to steady-state, convection-dominated flow problems J. Comput. Phys. 57 1985 415-438
9. F.Q. Hu M.Y. Hussaini J.L. Manthey Low dissipation and dispersion Runge-Kutta for computational acoustics J. Comput. Phys. 124 1996 177-191
10. D. Stanescu W.G. Habashi 2N-storage low dissipation and dispersion Runge-Kutta for computational acoustics J. Comput. Phys. 143 1998 674-681
11. D.V. Nance K. Viswanathan L.N. Sankar Low-dispersion finite volume scheme for aeroacoustic application AIAA J. 35 2 1997 255-262
12. G. Wang, L.N. Sankar, Prediction of rotorcraft noise with a low-dispersion finite volume scheme, AIAA-99-0480, 1999.
13. C. Cheong S. Lee Grid-optimized dispersion-relation-preserving schemes on general geometries for computational aeroacoustics J. Comput. Phys. 174 2001 248-276
14. Z.J. Wang R.F. Chen Optimized weighted essentially nonoscillatory schemes for linear waves with discontinuity J. Comput. Phys. 174 2001 381-404
15. G. Ashcroft X. Zhang Optimized prefactored compact scheme J. Comput. Phys. 190 2003 459-477
16. L. Tang J. Baeder Uniformly accurate finite difference schemes for p-refinement SIAM J. Sci. Comput. 20 3 1999 1115-1131
17. R. Hixon, E. Turkel, High-accuracy compact MacCormack-type schemes for computational aeroacoustic, NASA CR 1998 - 208672, 1998.
18. H.S. Udaykumar H.C. Kan W. Shyy R. Tran-Son-Tay Multiphase dynamics in arbitrary geometries on fixed Cartesian grids J. Comput. Phys. 137 1997 366-405
19. G. Yang D.M. Ingram Cartesian cut-cell method for axisymmetric separating body flows AIAA J. 37 1999 905-911
20. H.S. Udaykumar R. Mittal W. Shyy Computational of solid-liquid phase fronts in the sharp interface limit on fixed grids J. Comput. Phys. 153 1999 535-574
21. T. Ye R. Mittal H.S. Udaykumar W. Shyy An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries J. Comput. Phys. 156 1999 209-240
22. D. Calhoun R.J. Le Veque A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries J. Comput. Phys. 157 2000 143-180
23. M. Popescu W. Shyy Assessment of dispersion-relation-preserving and space-time CE/SE schemes for wave equations Numer. Heat Transfer 42 2 2002 93-118
24. R.W.C.P Verstappen, A.E.P. Veldman, Numerical computation of a viscous flow around a circular cylinder on a Cartesian grid, in: European Congress Methods in Applied Sciences and Engineering, Barcelona, 11-14 September, 2000.
25. W. Shyy, M. Francois, H.S. Udaykumar, Cartesian and curvilinear grid method for multi-domain, moving boundary domain, in: M. Debit et al. (Eds.), Thirteenth International Conference on Domain Decomposition Methods, CIMNE, Barcelona, 2001.
26. S.C. Chang The method of space-time conservation element and solution element methods - a new approach for solving the Navier-Stokes and Euler equation J. Comput. Phys. 119 1995 295-324
27. S.C. Chang X.Y. Wang C.Y. Chow The space-time conservation element and solution element methods: A new high-resolution and genuinely multidimensional paradigm for solving conservation laws J. Comput. Phys. 156 1999 89-136
28. T. Ye W. Shyy J.N. Chung A fixed-grid, sharp-interface method for bubble dynamics and phase change J. Comput. Phys. 174 2001 781-815
29. C. Tannehill D.A. Anderson R.H. Pletcher Computational Fluid Mechanics and Heat Transfer 1997 Taylor & Francis London
30. G. Efraimsson G. Kreiss A note on the effect of artificial viscosity on solution of conservation laws Appl. Numer. Math. 21 1996 155-173
31. G. Margot P. Olsson Designing an efficient solution strategy for fluid flows - 1. A stable high order finite difference scheme and sharp shock resolution for the Euler equations J. Comput. Phys. 129 1996 245-262
32. G. Efraimsson A 2D analysis of the influence of artificial viscosity terms on solutions of the Euler equation J. Comput. Phys. 138 1997 103-120
33. M. Sun K. Takayama Conservative smoothing on an adaptive quadrilateral grid J. Comput. Phys. 150 1999 143-180
34. I. Hataue On analogy and dissimilarity of dependence of stability on several parameters in flow simulation J. Comput. Appl. Math. 159 2003 45-53
35. C.K.W. Tam, J.C. Hardin (Eds.), Second Computational Aeroacoustics Workshop on Benchmark Problems, NASA CP-3352, 1997.
36. A. Bayliss E. Turkel J. Manthey Far field boundary conditions for compressible flows J. Comput. Phys. 48 1982 182
37. C.K.W. Tam Z. Dong Wall boundary condition for high-order finite difference schemes in computational aeroacoustics Theor. Comput. Fluid Dyn. 6 1994 303
38. C. Bogey C. Bailly A family of low dispersive and low dissipative explicit schemes for flow and noise computations J. Comput. Phys. 194 2004 194-214