论文信息 - Unsymmetric hyperbolic systems and the Euler equations at low Mach numbers

Unsymmetric hyperbolic systems and the Euler equations at low Mach numbers

Hyperbolic first order systems with a high degree of unsymmetry are ill conditioned for numerical computation. The principles for symmetrization are discussed and applied to the Euler equations at low Mach numbers. A new class of implicit one-step methods is introduced.

Bertil Gustafsson

[1] B. Gustafsson. Asymptotic expansions for hyperbolic problems with different time-scales , 1980 .

[2] Bertil Gustafsson,et al. A numerical method for incompressible and compressible flow problems with smooth solutions , 1986 .

[3] Numerical solution of hyperbolic systems with different time scales using asymptotic expansions , 1980 .

[4] R. F. Warming,et al. Diagonalization and simultaneous symmetrization of the gas-dynamic matrices , 1975 .

[5] Bertil Gustafsson,et al. A semi-implicit method for hyperbolic problems with different time-scales , 1986 .