Artificial Boundary Conditions for the Linearized Compressible Navier-Stokes Equations: II. The Discrete Approach

Journal of Computational Physics

Volumn 144, Issue 1, 1998, Pages 151-179

  Tourrette, Loïc ^a  

^a ONERA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; LINEARIZATION; NAVIER STOKES EQUATIONS; VISCOUS FLOW;

1-D MODELS; 2-D MODEL; ARTIFICIAL BOUNDARY CONDITION; COMPRESSIBLE NAVIER-STOKES EQUATIONS; DISCRETIZED EQUATIONS; MODEL PROBLEMS; NUMERICAL BOUNDARY CONDITIONS; TIME FREQUENCY;

VISCOSITY;

EID: 0004434359     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.5996     Document Type: Article

References (14)

1. Engquist B., Majda A. Absorbing boundary conditions for the numerical simulation of waves. Math. Comp. 31:1977;629.
2. Halpern L. Etude de conditions aux limites absorbantes pour des schémas numériques relatifs à des équations hyperboliques linéaires. September 1980.
3. Halpern L. Artificial boundary conditions for incompletely parabolic perturbations of hyperbolic systems. SIAM J. Math. Anal. 22:1991;1256.
4. Kreiss H. O. Stability theory for difference approximations of mixed initial boundary value problems, I. Math. Comp. 22:1968;703.
5. Tourrette L. Conditions aux Limites Artificielles pour les Equations de Navier-Stokes Compressibles Linéarisées. July 1990.
6. Tourrette L. Artificial boundary conditions for the linearized compressible Navier-Stokes equations. J. Comput. Phys. 137:1997;1.
7. Zalesak S. T. Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys. 31:1979;335.
8. A. Jameson, W. Schmidt, E. Türkel, Numerical simulation of the Euler equations by finite volume methods using Runge-Kutta time-stepping schemes, AIAA 5th Computational Fluid Dynamics Conference, 1981.
9. R. C. Swanson, E. Türkel, Artificial dissipation and central difference schemes for the Euler and Navier-Stokes equations, Proc. AIAA 8th Computational Fluid Dynamics Conference, 1987, 55.
10. Bayliss A., Türkel E. Far field boundary conditions for compressible flows. J. Comput. Phys. 48:1982;182.
11. Hagström T. M. Boundary conditions at outflow for a problem with transport and diffusion. J. Comput. Phys. 69:1987;69.
12. Abarbanel S. S., Don W. S., Gotlieb D., Rudy D. H., Townsend J. C. Secondary frequencies in the wake of a circular cylinder with vortex shedding. J. Fluid Mech. 225:1991;557.
13. Givoli D. Non-reflecting boundary conditions. J. Comput. Phys. 94:1991;1.
14. Engquist B., Majda A. Radiation boundary conditions for acoustic and elastic wave calculations. Comm. Pure Appl. Math. 32:1979;313.