A Projection Method for Low Speed Flows

Journal of Computational Physics

Volumn 149, Issue 2, 1999, Pages 245-269

  Colella, Phillip ^a   Pao, Karen ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Hodge decomposition; Low speed flows; Projection methods

Indexed keywords

DIVERGENCE FREE VECTOR FIELDS; EVOLUTION EQUATIONS; HODGE DECOMPOSITION; INVISCID FLOWS; LOW SPEED; LOW-SPEED FLOW; NUMERICAL PROCEDURES; PROJECTION METHOD; SCALAR FUNCTION; VELOCITY FIELD;

NUMERICAL METHODS;

EID: 0346409894     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.6152     Document Type: Article

References (21)

1. E. S. Oran, Numerical simulation of unsteady combustion, in Advances in Combustion Science: In Honor of Ya. B. Zeldovich, Prog. Astronau. Aeronaut. 173, 179 (1997).
2. M. J. Lighthill, On sound generated aerodynamically. I. General theory, Proc. R. Soc. London Ser. A 211, 564 (1952).
3. F. Harlow and A. Amsden, Numerical calculation of almost incompressible flow, J. Comput. Phys. 3, 80 (1968).
4. V. Casulli and D. Greenspan, Pressure method for the numerical solution of transient, compressible fluid flows, Int. J. Numer. Methods Fluids 4, 1001 (1984).
5. G. Patnaik, R. H. Guirguis, J. P. Boris, and E. S. Oran, A barely implicit correction for flux-corrected transport, J. Comput. Phys. 71, 1 (1987).
6. S. Abarbanel, P. Duth, and D. Gottlieb, Splitting methods for low Mach number Euler and Navier-Stokes equations, Comput. & Fluids 17, 1 (1989).
7. B. Gustafsson and H. Stoor, Navier-Stokes equations for almost incompressible flow, SIAM J. Numer. Anal. 28, 1523 (1991).
8. J. Sesterhenn, B. Mueller, and H. Thomann, Flux-vector splitting for compressible low Mach number flow, Comput. & Fluids 22, 441 (1993).
9. R. Klein, Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics. I. One-dimensional flow, J. Comput. Phys. 121, 213 (1995).
10. C.-D. Münz, S. Roller, R. Klein, and K. J. Geratz, The extension of incompressible flow solvers to the weakly compressible regime, preprint (1997).
11. K. Pao, and C. Anderson, Computation of Flow Noise in Two Dimensions, Los Alamos National Laboratory Technical Report LA-UR-94-1354 (1994). [unpublished]
12. S. Klainermann and A. Majda, Compressible and incompressible fluids, Comm. Pure Appl. Math. 35, 629 (1982).
13. H. O. Kreiss, J. Lorenz, and M. Naughton, Convergence of the solutions of the compressible to the solutions of the incompressible Navier-Stokes equations, Adv. Appl. Math. 12, 187 (1991).
14. A. Chorin and J. E. Marsden, A Mathematical Introduction to Fluid Mechanics (Springer-Verlag, New York, 1979).
15. C. Anderson, Derivation and Solution of the Discrete Pressure Equations for the Incompressible Navier Stokes Equations, University of California, Los Angeles, Computational and Applied Mathematics Report 88-36 (1998). [unpublished]
16. F. Harlow and J. E. Welch, Numerical calculations of time dependent viscous incompressible flow with free surface, Phys. Fluids 8, 2182 (1965).
17. P. Colella, A multidimensional second order Godunov scheme for conservation laws, J. Comput. Phys. 87, 171 (1990).
18. B. van Leer, Toward the ultimate conservative difference scheme: A second-order sequel to Godunov's method, J. Comput. Phys. 32, 101 (1979).
19. J. Bell, P. Colella, and H. Glaz, A second order projection method for the incompressible Navier-Stokes equations, J. Comput. Phys. 85, 257 (1989).
20. J. Bell and D. Marcus, A second order projection method for variable-density flows, J. Comput. Phys. 101, 334 (1992).
21. M. Lai, A Projection Method for Reacting Flow in the Zero Mach Number Limit, Ph.D. thesis, University of California, Berkeley, 1993. [unpublished]