Adaptive Spectral Viscosity for Hyperbolic Conservation Laws
نویسندگان
چکیده
منابع مشابه
Adaptive Spectral Viscosity for Hyperbolic Conservation Laws
Spectral approximations to nonlinear hyperbolic conservation laws require dissipative regularization for stability. The dissipative mechanism must on the other hand be small enough, in order to retain the spectral accuracy in regions where the solution is smooth. We introduce a new form of viscous regularization which is activated only in the local neighborhood of shock discontinuities. The bas...
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It is well known that the classic Galerkin finite element method is unstable when applied to hyperbolic conservation laws such as the Euler equations for compressible flow. It is also well known that naively adding artificial diffusion to the equations stabilizes the method but sacrifices too much accuracy to be of any practical use. An elegant approach, referred to as spectral viscosity method...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2012
ISSN: 1064-8275,1095-7197
DOI: 10.1137/110836456