计算结果与已有文献结果基本一致，证明该方法有效、稳定，能够模拟浅水长波方程中的间断解问题。

The numerical results agree with those of available literatures and show that the method is robust and stable for getting the discontinuous solutions of the shallow water wave equation.

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本文利用间断伽辽金法对自由空气爆炸进行了数值模拟。

In this paper, discontinuous Galerkin method (DGM) is used to numerically simulate spherical explosion in air.

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本文利用间断伽辽金法对一维激波管问题进行了数值模拟。

In this paper, discontinuous Galerkin method (DGM) is used to numerically simulate one-dimensional shock tube problems.

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