Construction and numerical tests of the multi-conservation difference scheme

Bin Wang; Zhongzhen Ji

doi:10.1360/02wd0414

Construction and numerical tests of the multi-conservation difference scheme

Bin Wang
, Zhongzhen Ji

Computational Earth Sciences Group

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

A difference scheme with four conservation properties for solving the spherical barotropic shallow water equations is constructed, based on a proper formulae of the equations and a skillful correction on the spatial difference parts of the semi-discrete equations with which the number of the conservation properties of these equations is increased from three to four. Numerical tests are included, and good results are achieved in this study.

Original language	English
Pages (from-to)	1016-1020
Number of pages	5
Journal	Chinese Science Bulletin
Volume	48
Issue number	10
DOIs	https://doi.org/10.1360/02wd0414
State	Published - 2003

Funding

Acknowledgements This work was jointly supported by the National Science Fund for Distinguished Young Scholars (Grant No. 49825109), the National Key Development and Planning Project for the Basic Research (973) (Grant No. G1999032801) and the CAS Key Innovation Direction Project (Grant No. KZCX2208).

Keywords

Barotropic shallow water equations
Difference scheme
Multi-conservation

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10.1360/02wd0414

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abstract = "A difference scheme with four conservation properties for solving the spherical barotropic shallow water equations is constructed, based on a proper formulae of the equations and a skillful correction on the spatial difference parts of the semi-discrete equations with which the number of the conservation properties of these equations is increased from three to four. Numerical tests are included, and good results are achieved in this study.",

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AU - Ji, Zhongzhen

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AB - A difference scheme with four conservation properties for solving the spherical barotropic shallow water equations is constructed, based on a proper formulae of the equations and a skillful correction on the spatial difference parts of the semi-discrete equations with which the number of the conservation properties of these equations is increased from three to four. Numerical tests are included, and good results are achieved in this study.

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KW - Difference scheme

KW - Multi-conservation

UR - https://www.scopus.com/pages/publications/33749860770

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M3 - Article

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IS - 10

ER -

Construction and numerical tests of the multi-conservation difference scheme

Abstract

Funding

Keywords

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