A Second-Order Accurate Conservative Front-Tracking Method in One Dimension
نویسندگان
چکیده
منابع مشابه
A Second-Order Accurate Conservative Front-Tracking Method in One Dimension
This paper presents a conservative front-tracking method for shocks and contact discontinuities that is second-order accurate. It is based on a volume-of-fluid method that treats the moving front with concepts similar to those of an embedded-boundary method. Special care is taken in the centering of the data to ensure the right order of accuracy at the front, and a redistribution step guarantee...
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In this paper, a numerical scheme is proposed for the multi-fluid compressible flows. This method is applied to the problem of underwater explosion. The proposed scheme is basically the extension of Godunov method in gas dynamic problems to the multifluid environments and is second-order accurate in space. In this method, also, the problem of artificial mixing of two different phases on Euleria...
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In this paper, we further analyze, improve and develop the conservative fronttracking method developed in Mao(1995, SIAM. J. Numer. Anal., 32, 1677– 1703). The method in Mao(1995, SIAM. J. Numer. Anal., 32, 1677–1703) is only first-order accurate near the tracked discontinuities when applied to systems of conservation laws. This is because in the system case near tracked discontinuities there a...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2010
ISSN: 1064-8275,1095-7197
DOI: 10.1137/070704083