A 5th order monotonicity-preserving upwind compact difference scheme |
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| Authors: | HE ZhiWei LI XinLiang FU DeXun & MA YanWen The Key Laboratory of High Temperature Gas Dynamics |
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| Institution: | HE ZhiWei1,LI XinLiang1,FU DeXun2 & MA YanWen2 1 The Key Laboratory of High Temperature Gas Dynamics,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China,2 The State Key Laboratory of Nonlinear Mechanics |
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| Abstract: | Based on an upwind compact difference scheme and the idea of monotonicity-preserving, a 5th order monotonicity-preserving upwind compact difference scheme (m-UCD5) is proposed. The new difference scheme not only retains the advantage of good resolution of high wave number but also avoids the Gibbs phenomenon of the original upwind compact difference scheme. Compared with the classical 5th order WENO difference scheme, the new difference scheme is simpler and small in diffusion and computation load. By emplo... |
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| Keywords: | upwind compact scheme monotonicity-preserving compressible flows shock capturing scheme |
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