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中文摘要：
研究了利用群速度控制法的思想构造二维浅水波方程高分辨率格式。利用群速度修正的思想,得到了三阶迎风群速度控制格式、四阶群速度控制格式等多种高分辨率格式;通过引入色散度量以及各向异性度量的概念,为评估差分算子对微分算子的逼近程度提供了标准。
英文摘要：
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.
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