Huazhong Tang

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This note gives a numerical investigation for the popular high resolution conservative schemes when applied to inviscid, compressible, perfect gas flows with an initial high density ratio as well as a high pressure ratio. The results show that they work very inefficiently and may give inaccurate numerical results even over a very fine mesh when applied to(More)
This paper presents an adaptive mesh redistribution (AMR) method for solving the nonlinear Hamilton-Jacobi equations and level set equations in twoand threedimensions. Our approach includes two key ingredients: a non-conservative secondorder interpolation on the updated adaptive grids, and a class of monitor functions (or indicators) suitable for the(More)