Design of optimally smoothing multi-stage schemes for the Euler equations

9th Computational Fluid Dynamics Conference, 1989

Volumn , Issue , 1989, Pages

  Van Leer, Bram ^a   Tai, Chang Hsien ^a   Powell, Kenneth G ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; DAMPING; DESIGN; EULER EQUATIONS; FLUID DYNAMICS; RUNGE KUTTA METHODS;

CHARACTERISTIC TIME; CONVERGENCE RATES; HIGH FREQUENCY HF; LOCAL TIME STEPPING; RUNGE-KUTTA SCHEMES; SCALAR EQUATIONS; SPATIAL DIFFERENCING; TWO-DIMENSIONAL EULER EQUATIONS;

NONLINEAR EQUATIONS;

EID: 85006857045     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. R. M. Beam and R. F. Warming, “An implicit finite-difference algorithm for hyperbolic systems in conservation law form, ” Journal of Computational Physics, vol. 22, 1976.
2. K. G. Powell and E. M. Murman, “An embedded mesh procedure for leading-edge vortex flows, ” in Proceedings of the Transonic Symposium, 1988.
3. A. Jameson, W. Schmidt, and E. Turkel, “Numerical solutions of the Euler equations by a finite-volume method using Runge-Kutta time-stepping schemes, ” AIAA Paper 81-1259, 1981.
4. E. Turkel, “Preconditioned methods for solving the incompressible and low speed compressible equations.” ICASE Report 86-14, 1986.
5. B. van Leer, W. T. Lee, and K. G. Powell, “Sonic-point capturing, ” in AIAA 9th Computational Fluid Dynamics Conference, 1989.
6. P. L. Roe, “Discrete models for the numerical analysis of time-dependent multidimensional gas-dynasmics, ” Journal of Computational Physics, vol. 63, 1986.
7. C. Hirsch, C. Lacor, and H. Deconinck, “Convection algorithm based on a diagonalization procedure for the multidimensional Euler equations, ” in AIAA 8th Computational Fluid Dynamics Conference, 1987.
8. K. G. Powell and B. van Leer, “A genuinely multidimensional upwind cell-vertex scheme for the Euler Equations, ” AIAA Paper 89-0095, 1989.
9. A. Brandt, “Multilevel adaptive computations in fluid dynamics, ” AIAA Journal, vol. 18, 1980.
10. A. Jameson, “Numerical solution of the Euler equations for compressible inviscid fluids, ” in Numerical Methods for the Euler Equations of Fluid Dynamics (F. Angrand, A. Dervieux, J. A. Desideri, and R. Glowinski, eds.), SIAM, 1985.
11. B. van Leer, “Upwind-difference methods for aerodynamic problems governed by the Euler equations, ” in Large-Scale Computations in Fluid Mechanics, Lectures in Applied Mathematics, vol. 22, 1985.