论文标题

广义的Navier-Stokes动量方程的强大表述

Strong formulations of the generalised Navier-Stokes momentum equation

论文作者

Basic, Josip, Basic, Martina, Blagojevic, Branko

论文摘要

在本文中,研究了广义的Navier-Stokes动量方程的强烈配方。具体而言,由于其对计算方法的性能和准确性的影响,研究了剪切压力差异的表述。发现该术语可以通过两种不同的方式表示。虽然通常使用了第一个公式,但发现替代推导对于直接数值操作而言可能更方便。替代配方将菌株信息的一部分放置在可变的拉普拉斯运算符下,从而使未来的计算方案可能会更简单,并且时间较大。

In this paper, the strong formulation of the generalised Navier-Stokes momentum equation is investigated. Specifically, the formulation of shear-stress divergence is investigated, due to its effect on the performance and accuracy of computational methods. It is found that the term may be expressed in two different ways. While the first formulation is commonly used, the alternative derivation is found to be potentially more convenient for direct numerical manipulation. The alternative formulation relocates a part of strain information under the variable-coefficient Laplacian operator, thus making future computational schemes potentially simpler with larger time-step sizes.

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