【摘 要】
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In this talk I am going to present a new approach for developing conservative front-tracking methods.The main idea is as the follows:A discontinuity in a so
【机 构】
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DepartmentofMathematics,ShanghaiUniversity,Shanghai,China
【出 处】
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International Conference on Nonlinear PDEs and Their Applica
论文部分内容阅读
In this talk I am going to present a new approach for developing conservative front-tracking methods.The main idea is as the follows:A discontinuity in a solution to hyperbolic conservation laws is actually a lower dimensional moving manifold and its evolutions can be described by a conservative differential equation in the lower dimensional space.To do the front-tracking,we discretize this differential equation on the underlying Cartesian grid in a conservative fashion and embed its discretization into the computation in the smooth region.In doing this way,the developed front-tracking method becomes a combination of two capturing schemes,one is for the solution in the smooth region and the other is for the tracked discontinuity in the lower dimensional space.The method runs on Cartesian grid,no irregular grid cells are used,and it is conservative.
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