Some weight-type high-resolution difference schemes and their applications |
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| Authors: | Wang Ruquan Shen Yiqing |
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| Institution: | (1) Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, 100080 Beijing, China;(2) LHD, Institute of Mechanics, Chinese Academy of Sciences, 100080 Beijing, China |
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| Abstract: | By the aid of an idea of the weighted ENO schemes, some weight-type high-resolution difference schemes with different orders
of accuracy are presented in this paper by using suitable weights instead of the minmod functions appearing in various TVD
schemes. Numerical comparisons between the weighted schemes and the non-weighted schemes have been done for scalar equation,
one-dimensional Euler equations, two-dimensional Navier-Stokes equations and parabolized Navier-Stokes equations.
The project supported by the National Natural Science Foundation of China (19582007) and Partly by State Key Laboratory of
Scientific/Engineering Computing. |
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| Keywords: | TVD schemes ENO schemes WENO schemes Euler equations Navier-Stokes equations |
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