A Two-Step Shape-Preserving Advection Scheme

Yu Rucong

doi:10.1007/BF02658169

Impact Factor: 5.8

Volume 11 Issue 4

Oct. 1994

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Article > ADVANCES IN ATMOSPHERIC SCIENCES > 1994 > 11(4): 479-490

A Two-Step Shape-Preserving Advection Scheme

Yu Rucong

1.
LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100080

Yu Rucong

doi: 10.1007/BF02658169

Abstract
References
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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.
- Shape-preserving,
- Non-oscillation positive definite advection scheme
References

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Manuscript History

Manuscript received: 10 October 1994

Manuscript revised: 10 October 1994

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

A Two-Step Shape-Preserving Advection Scheme

Yu Rucong

1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100080

Manuscript received: 1994-10-10
Manuscript revised: 1994-10-10

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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