动态防扩散新技术

Ghislaine Godinaud , Alain Yves Leroux , Raphaël Loubère , Jean Ovadia
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引用次数: 0

摘要

我们提出了一种新的技术来增强双曲系统计算模拟的结果。该过程仅对程序中断后获得的提取数据起作用,并且不依赖于数学模型和数值格式,只要模型是双曲模型且格式足够扩散。数值试验表明,在小于两个单元的情况下,该方法对不连续面有很好的锐化,对稀疏波也有很好的精度,对质量等一些量也有很好的守恒性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Une technique nouvelle d'antidiffusion dynamique

We propose a new technique for enhancing the results coming from computational simulations with a hyperbolic system. The process works only on the extracted data obtained after an interruption of the program, and is not depending neither on the mathematical model nor on the numerical scheme, as long as the model is a hyperbolic one and the scheme is diffusive enough. The numerical tests show a good sharpening of the discontinuities, on less than two cells, and also a good precision on the rarefaction waves and the conservation of some quantities, such as the mass.

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