| NEW APPROACH TO THE LIMITER FUNCTIONS |
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| 作者姓名： | Jin Li Ze-min Chen Zi-qiang Zhu |
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| 作者单位： | Beijing University of Aeronautics and Astronautics，Beijing 100083，China |
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| 摘 要： | 1.IntroductionSince1980's,differenceschemeswithTVDorTVBpropertieshavebeenusedformoreandmoreCFDproblems,especiallythefollowingsystemofconservationlaws:ThereasonisthattheTVBpropertywillguaranteetheconvergenceofanysubsequenceofthedifferencesolutionsequencetoaweeksolutionofthedifferentialequation.Obviouslyiftheweeksolutionisunique,thenthewholesequencewillconvergetothatsolution.OneofthefrequentlyusedTVDschemeisthesecondorderfive--pointconservativeone:HereHi 1/2~H(Ull,,Uln,Uz71,U17,),iscons…
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NEW APPROACH TO THE LIMITER FUNCTIONS |
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| Jin Li ,Ze-min Chen ,Zi-qiang Zhu.NEW APPROACH TO THE LIMITER FUNCTIONS[J].Journal of Computational Mathematics,1999(1). |
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| Authors: | Jin Li Ze-min Chen Zi-qiang Zhu |
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| Abstract: | In this paper we discuss three topics on the designing of the limiter functions.(l) To guarantee the TVD property (2) To maintain enough artificial viscosity. (3) A method to form TVB limiter which can ensure second order accuracy even atthe extrema of the solution. |
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| Keywords: | Finite difference methods TVD schemes Limiter Function |
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