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所属单位：理学院
发表刊物：JOURNAL OF COMPUTATIONAL PHYSICS
关键字：WENO scheme Unequal size spatial stencil Steady state solution
摘要：A new class of high order weighted essentially non-oscillatory (WENO) schemes (Zhuand Qiu, 2016, [50]) is applied to solve Euler equations with steady state solutions. It is known that the classical WENO schemes (Jiang and Shu, 1996, [23]) might suffer from slight post-shock oscillations. Even though such post-shock oscillations are small enough in magnitude and do not visually affect the essentially non-oscillatory property, they are truly responsible for the residue to hang at a truncation error level instead of converging to machine zero. With the application of this new class of WENO schemes, such slight post-shock oscillations are essentially removed and the residue can settle down to machine zero in steady state simulations. This new class of WENO schemes uses a convex combination of a quartic polynomial with two linear polynomials on unequal size spatial stencils in one dimension and is extended to two dimensions in a dimension-bydimension fashion. By doing so, such WENO schemes use the same information as the classical WENO schemes in Jiang and Shu (1996) [23] and yield the same formal order of accuracy in smooth regions, yet they could converge to steady state solutions with very tiny residue close to machine zero for our extensive list of test problems including shocks, contact discontinuities, rarefaction waves or their interactions, and with these complex waves passing through the boundaries of the computational domain. (C) 2017 Elsevier Inc. All rights reserved.
ISSN号：0021-9991
是否译文：否
发表时间：2017-11-15
合写作者：Shu, Chi-Wang
通讯作者：Shu, Chi-Wang,朱