Weighted Compact Scheme
Weighted Compact Scheme
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发表时间：
2001-08
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通讯作者：
Li Jiang;H. Shan;Chaoqun Liu
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作者：
Li Jiang;H. Shan;Chaoqun Liu
翻译后摘要：本文提出了一类新的有限差分格式-加权紧致格式。根据韦诺格式的思想，加权紧致格式由候选项上的导数的逼近与适当的权值组合而成，从而在出现间断时具有无振荡性。应用ENO格式的原函数重构方法获得加权紧致格式的保守形式。该格式不仅保持了标准紧致格式的特点，而且在使用紧致模板的情况下，具有高精度和高分辨率，而且能够准确捕捉激波和间断，且无振荡。数值算例表明，新格式是很有前途和成功的.
Abstract : In this paper a new class of finite difference schemes - the Weighted Compact Schemes are proposed. According to the idea of the WENO schemes, the Weighted Compact Scheme is constructed by a combination of the approximations of derivatives on candidate stencils with properly assigned weights so that the non-oscillatory property is achieved when discontinuities appear. The primitive function reconstruction method of ENO schemes is applied to obtain the conservative form of the Weighted Compact Scheme. This new scheme not only preserves the characteristic of standard compact schemes and achieves high order accuracy and high resolution using a compact stencil, but also can accurately capture shock waves and discontinuities without oscillation. Numerical examples show the new scheme is very promising and successfill.