A method for avoiding the acoustic time step restriction in compressible flow

Journal of Computational Physics

Volumn 228, Issue 11, 2009, Pages 4146-4161

  Kwatra, Nipun ^a   Su, Jonathan ^a   Grétarsson, Jón T ^a   Fedkiw, Ronald ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

Compressible flow; Conservative scheme; Incompressible flow; Pressure projection; Shock capturing

Indexed keywords

COMPRESSIBLE FLOW; ELASTIC MODULI; EQUATIONS OF STATE; MACH NUMBER; POISSON EQUATION; ULTRASONIC VELOCITY MEASUREMENT;

CFL NUMBER; CFL-CONDITION; CONSERVATIVE SCHEMES; INVISCID COMPRESSIBLE FLOWS; NOVEL METHODS; PRESSURE PROJECTION; SHOCK-CAPTURING; SOUND SPEED; STRINGENTS; TIME STEP;

INCOMPRESSIBLE FLOW;

EID: 64049116038     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.02.027     Document Type: Article

References (16)

1. Courant R., Issacson E., and Rees M. On the solution of nonlinear hyperbolic differential equations by finite differences. Comm. Pure Appl. Math. 5 (1952) 243-255
2. Fedkiw R., Liu X.-D., and Osher S. A general technique for eliminating spurious oscillations in conservative schemes for multiphase and multispecies Euler equations. Int. J. Nonlinear Sci. Numer. Sim. 3 (2002) 99-106
3. Fedkiw R., Marquina A., and Merriman B. An isobaric fix for the overheating problem in multimaterial compressible flows. J. Comput. Phys. 148 (1999) 545-578
4. Fedkiw R., Merriman B., and Osher S. Efficient characteristic projection in upwind difference schemes for hyperbolic systems (the complementary projection method). J. Comput. Phys. 141 (1998) 22-36
5. Jiang G.-S., and Shu C.-W. Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126 (1996) 202-228
6. Kadioglu S.Y., and Sussman M. Adaptive solution techniques for simulating underwater explosions and implosions. J. Comput. Phys. 227 (2008) 2083-2104
7. Kadioglu S.Y., Sussman M., Osher S., Wright J., and Kang M. A second order primitive preconditioner for solving all speed multi-phase flows. J. Comput. Phys. 209 (2005) 477-503
8. Kang M., Fedkiw R., and Liu X.-D. A boundary condition capturing method for multiphase incompressible flow. J. Sci. Comput. 15 (2000) 323-360
9. Osher S., and Shu C.-W. High order essentially non-oscillatory schemes for Hamilton-Jacobi equations. SIAM J. Num. Anal. 28 (1991) 902-921
10. Shu C.-W., and Osher S. Efficient implementation of essentially non-oscillatory shock capturing schemes. J. Comput. Phys. 77 (1988) 439-471
11. Shu C.-W., and Osher S. Efficient implementation of essentially non-oscillatory shock capturing schemes II (two). J. Comput. Phys. 83 (1989) 32-78
12. Woodward P., and Colella P. The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54 April (1984) 115-173
13. Xiao F. Unified formulation for compressible and incompressible flows by using multi-integrated moments I: one-dimensional inviscid compressible flow. J. Comput. Phys. 195 (2004) 629-5654
14. Xiao F., Akoh R., and Ii S. Unified formulation for compressible and incompressible flows by using multi-integrated moments II: multi-dimensional version for compressible and incompressible flows. J. Comput. Phys. 213 (2006) 31-56
15. Yabe T., and Wang P.Y. Unified numerical procedure for compressible and incompressible fluid. J. Phys. Soc. Japan 60 July (1991) 2105-2108
16. Yoon S.Y., and Yabe T. The unified simulation for incompressible and compressible flow by the predictor-corrector scheme based on the CIP method. Comput. Phys. Commun. 119 (1999) 149-158