Discontinuous Galerkin Method for Material Flow Problems

Discontinuous Galerkin Method for Material Flow Problems
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DOI:
10.1155/2015/341893
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发表时间:
2015-11
影响因子:
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通讯作者:
S. Göttlich;Patrick Schindler
S. Göttlich;Patrick Schindler
中科院分区:
工程技术4区
文献类型:
--
作者:
S. Göttlich;Patrick Schindler

文献摘要

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对于基于二维双曲型偏微分方程的物质流动问题的模拟,可以采用不同的数值方法。与广泛使用的有限体积格式相比,我们提出了一种替代方法,即不连续伽辽金方法,并解释了该方法如何在此框架内工作。对有限体积法和不连续伽辽金法在解质量上的比较进行了扩展的数值研究。
For the simulation of material flow problems based on two-dimensional hyperbolic partial differential equations different numerical methods can be applied. Compared to the widely used finite volume schemes we present an alternative approach, namely, the discontinuous Galerkin method, and explain how this method works within this framework. An extended numerical study is carried out comparing the finite volume and the discontinuous Galerkin approach concerning the quality of solutions.