A moving mesh discontinuous Galerkin method for hyperbolic conservation laws
题目:A moving mesh discontinuous Galerkin method for hyperbolic conservation laws
报告人:邱建贤教授
时间:2019年6月28日(周五)下午2:00――4:00
地点:逸夫工商楼200-9
报告人简介:School of Mathematical Sciences and Fujian Provincial Key Laboratory of Mathematical
Modeling and High-Performance Scientific Computing, Xiamen University
ABSTRACT:In this presentation, a moving mesh discontinuous Galerkin (DG) method is developed for
the numerical solution of hyperbolic conservation laws. The method combines the DG method
and the mesh movement strategy which is based on the moving mesh partial differential equation
approach and moves the mesh continuously in time using a system of mesh partial differential
equations. The mesh is a nonuniform mesh that is sparse in the regions where the solution is
smooth and more concentrated near discontinuities. The method can not only achieve the high
order in the smooth region, but also capture the shock well in the discontinuous region. For
the same number of grid points, the numerical solution with the moving mesh method is much
better than ones with the uniform mesh method. Numerical examples are presented to show the
accuracy and shock-capturing of the method.
联系人:仲杏慧老师 zhongxh@zju.edu.cn
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