Conservative High-Order Finite-Difference Schemes for Low-Mach Number Flows

Journal of Computational Physics

Volumn 158, Issue 1, 2000, Pages 71-97

  Nicoud, F ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

Conservative scheme; Density gradient; Finite difference; Low Mach number; Poisson equation; Staggered mesh

Indexed keywords

AERODYNAMICS; APPROXIMATION ALGORITHMS; EQUATIONS OF STATE; FINITE DIFFERENCE METHOD; INCOMPRESSIBLE FLOW; KINETIC ENERGY; KINETICS; MACH NUMBER; NAVIER STOKES EQUATIONS;

CONSERVATIVE SCHEMES; DENSITY GRADIENTS; FINITE DIFFERENCE; FINITE-DIFFERENCE ALGORITHMS; HIGH ORDER FINITE DIFFERENCE SCHEMES; LOW MACH NUMBER APPROXIMATIONS; LOW MACH NUMBERS; LOW-MACH-NUMBER FLOW; NAVIER-STOKES EQUATION; STAGGERED MESH;

POISSON EQUATION;

EID: 0001912818     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6408     Document Type: Article

References (22)

1. Majda A., Sethian J. The derivation and numerical solution of the equations for zero mach number combustion. Combust. Sci. Technol. 42:1985;185.
2. Ghoniem A. F., Knio O. M. Twenty-First Symposium (International) on Combustion. 1986;1313.
3. McMurthry P., Jou W., Riley J., Metcalfe R. Direct numerical simulations of a reacting mixing layer with chemical heat release. AIAA J. 24:1986;962.
4. Knio O. M., Worlikar A. S., Najm H. N. Twenty-Sixth Symposium (International) on Combustion. 1996;203.
5. Mahalingam S., Cantwell B. J., Ferziger J. H. Full numerical simulations of coflowing, axisymmetric jet diffusion flames. Phys. Fluids A. 2:1990;720.
6. Cook A., Riley J. Direct numerical simulation of a turbulent reactive plume on a parallel computer. J. Comput. Phys. 129:1996;263.
7. Rutland C., Ferziger J. Simulations of flame-vortex interactions. Combust. Flame. 84:1991;343.
8. Najm H. N., Wyckoff P. S., Knio O. M. A semi-implicit numerical scheme for reacting flow. J. Comput. Phys. 143:1998;381.
9. Morinishi Y., Lund T., Vasilyev O., Moin P. Fully conservative higher order finite difference schemes for incompressible flow. J. Comput. Phys. 143:1998;90.
10. Spalart P. Internal Report. Hybrid rkw3+Crank-Nicolson Scheme. 1987.
11. Bell J. B., Marcus D. L. A second-order projection method for variable-density flows. J. Comput. Phys. 101:1992;334.
12. Lai M. A Projection Method for Reacting Flow in the Zero Mach Number Limit. 1993.
13. Lai M., Bell J., Colella P. A Projection Method for Combustion in the Zero Mach Number Limit. 1993.
14. Concus P., Golub G. H. Use of fast direct methods for the efficient numerical solution of nonseparable elliptic equations. SIAM J. Numer. Anal. 10:1973;1103.
15. Perot J. B. An analysis of the fractional step method. J. Comput. Phys. 108:1993;51.
16. Suslov S., Paolucci S. Stability of mixed-convection flow in a tall vertical channel under no-boussinesq conditions. J. Fluid Mech. 302:1995;91.
17. Vasilyev O., Paolucci S. Stability of unstable stratified shear flow in a channel under non-boussinesq conditions. Acta Mech. 112:1995;37.
18. Nicoud F. Numerical Study of a Channel Flow with Variable Properties. 1998.
19. F. Nicoud, and, T. Poinsot, Dns of a channel flow with variable properties, in, First International Symposium on Turbulence and Shear Flow Phenomena, Double Tree Resort, Santa Barbara, September 12-15, 1999.
20. Kim J., Moin P., Moser R. Turbulence statistics in fully developed channel flow at low reynolds number. J. Fluid Mech. 177:1987;133.
21. Kim J., Moin P. Transport of passive scalars in a turbulent channel flow. Turbulent Shear Flows. 6:1987;85.
22. Van Driest E. R. Turbulent boundary layer in compressible fluids. J. Aeronaut. Sci. 18:1951;145.