The Modified Finite Difference Schemes with Group Velocity Control for Solving 2D Shallow Water Equations
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The Modified Finite Difference Schemes with Group Velocity Control for Solving 2D Shallow Water Equations
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 51, Issue 1, Pages: 19-24(2012)
作者机构:
中山大学应用力学与工程系,广东,广州,510275
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Published:2012,
Published Online:25 January 2012,
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ZHOU Chaohong, YAO Qinghe, ZHU Qingyong. The Modified Finite Difference Schemes with Group Velocity Control for Solving 2D Shallow Water Equations. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(1):19-24(2012)
DOI:
ZHOU Chaohong, YAO Qinghe, ZHU Qingyong. The Modified Finite Difference Schemes with Group Velocity Control for Solving 2D Shallow Water Equations. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(1):19-24(2012)DOI:
The Modified Finite Difference Schemes with Group Velocity Control for Solving 2D Shallow Water Equations
The general method of constructing high-resolution schemes to solve 2D shallow water equations is studied. Using the technique of group velocity control
some high-resolution schemes are obtained
such as three-order upwind group velocity control schemes and four-order group velocity control schemes. Using the dispersion and anisotropy measurement
a criterion to evaluate approximation degree of difference operators to differential operators is obtained.
关键词
高分辨率格式群速度控制法2D浅水波方程
Keywords
high-resolution schemesgroup velocity control2D shallow water equations