| A Two-Step Shape-Preserving Advection Scheme |
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| 作者姓名： | Yu Rucong |
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| 作者单位： | LASG，Institute of Atmospheric Physics，Chinese Academy of Sciences，Beijing 100080 |
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| 基金项目： | This work is supported by the Ntional Natural Science Foundation of China. |
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| 摘 要： | This paper proposes a new two-step non-oscillatory shape-preserving positive definite finite difference advection transport scheme, which merges the advantages of small dispersion error in the simple first-order upstream scheme and small dissipation error in the simple second-order Lax-Wendroff scheme and is completely different from most of present positive definite advection schemes which are based on revising the upstream scheme results. The proposed scheme is much less time consuming than present shape-preserving or non-oscillatory advection transport schemes and produces results which are comparable to the results obtained from the present more complicated schemes. Elementary tests are also presented to examine the behavior of the scheme.
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A Two-Step Shape-Preserving Advection Scheme |
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| Yu Rucong.A Two-Step Shape-Preserving Advection Scheme[J].Advances in Atmospheric Sciences,1994,11(4):479-490. |
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| Authors: | Yu Rucong |
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| Institution: | LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100080 |
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| Abstract: | This paper proposes a new two-step non-oscillatory shape-preserving positive definite finite difference advection transport scheme, which merges the advantages of small dispersion error in the simple first-order upstream scheme and small dissipation error in the simple second-order Lax-Wendroff scheme and is completely different from most of present positive definite advection schemes which are based on revising the upstream scheme results. The proposed scheme is much less time consuming than present shape-preserving or non-oscillatory advection transport schemes and produces results which are comparable to the results obtained from the present more complicated schemes. Elementary tests are also presented to examine the behavior of the scheme. |
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| Keywords: | Shape-preserving Non-oscillation positive definite advection scheme |
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