| DEVELOPMENT AND APPLICATIONS OF WENO SCHEMES IN CONTINUUM PHYSICS |
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| 作者姓名： | Chiwang Shu |
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| 作者单位： | Division of Applied Mathematics，Brovidence，Rhode Island 02912，USA |
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| 摘 要： | INTRODUCTIONHigh order accurate weighted essentiallynon- oscillatory( WENO) schemes have been de-veloped to solve a hyperbolic conservation lawut+ .f( u) =0 ( 1 )The first WENO scheme was constructed in Ref.1 ]for a third order finite volume version in onespace dimension.In Ref.2 ],third and fifth or-der finite difference WENO schemes in multiplespace dimensions are constructed,with a generalframework for the design of the smoothness indi-cators and nonlinear weights.L ater,second…
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DEVELOPMENT AND APPLICATIONS OF WENO SCHEMES IN CONTINUUM PHYSICS |
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| Chiwang Shu.DEVELOPMENT AND APPLICATIONS OF WENO SCHEMES IN CONTINUUM PHYSICS[J].Transactions of Nanjing University of Aeronautics & Astronautics,2001,18(Z1). |
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| Authors: | Chiwang Shu |
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| Abstract: | This paper briefly presents the general ideas of high order accurate weighted essentially non oscillatory (WENO) schemes, and describes the similarities and differences of the two classes of WENO schemes: finite vo lume schemes and finite difference schemes. We also briefly mention a recent development of WENO schemes, namely an adaptive approach within the finite difference framework using smooth time dependent curvilinear coordinates. |
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| Keywords: | weighted essentially non oscillatory finite difference method finite volume method adaptive method |
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