We address multiple aspects of the numerical modeling of turbulence and mixing. Fundamental issues of thermodynamics related to nonuniqueness of solutions of the fluid Euler are addressed here. Recent developments of Front Tracking, a part of this analysis, is reviewed as well. The work presented is the result of multiple collaboration teams, and includes in some cases announcements of results yet to be published. The present paper provides a unique opportunity to view the entire range as a unified contribution to science.

中文翻译：

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湍流现象的计算

我们讨论湍流和混合数值模型的多个方面。这里讨论了与流体欧拉解的非唯一性有关的热力学基本问题。还分析了Front Tracking的最新发展，它是该分析的一部分。呈现的工作是多个协作团队的成果，并且在某些情况下还包括尚未发布的结果公告。本论文提供了一个独特的机会，可以将整个范围视为对科学的统一贡献。