Compressible and incompressible limits for hyperbolic systems with relaxation
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摘要
A general relaxation system which yields compressible and incompressible Euler and Navier–Stokes equations in the limit is presented. Such a system can be used to set up relaxation schemes that work uniformly in the above limits. A higher order nonoscillatory upwind spatial discretization and TVD implicit–explicit method for time integration are considered. Numerical computations are carried out on various test problems.
论文关键词：Fluid dynamic equations,Asymptotic analysis,Relaxation methods,Higher order upwind schemes,Implicit–explicit methods
论文评审过程：Received 6 September 2002, Revised 20 May 2003, Available online 13 February 2004.
论文官网地址：https://doi.org/10.1016/j.cam.2003.05.013
