Large Time-step and Asymptotic-preserving Numerical Schemes for the Gas Dynamics Equations with Sour

来源 :2014年非线性偏微分方程的演化国际会议 | 被引量 : 0次 | 上传用户:wanghan0106
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We propose a large time-step and asymptotic-preserving scheme for the gas dynamics equations with external forces and friction terms.By asymptotic-preserving,we mean that the numerical scheme is able to reproduce at the discrete level the parabolic-type asymptotic behaviour satisfied by the continuous equations.By large time-step,we mean that the scheme is stable under a CFL stability condition driven by the(slow)material waves,and not by the(fast)acoustic waves as it is customary in Godunov-type schemes.Numerical evidences are proposed and show a gain of several orders of magnitude in both accuracy and efficiency.If time permits,an extension of the method to low-Mach number regimes will be discussed.
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