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.

翻译：本文研究了广义纳维-斯托克斯动量方程的强形式表示，特别关注剪切应力散度的表示形式及其对计算方法性能与精度的影响。研究发现，该项可表达为两种不同形式。虽然第一种形式较为常用，但另一种推导方式被发现可能更便于直接数值操作。该替代形式将部分应变信息移至变系数拉普拉斯算子下，从而可能使未来计算方案更简易，并允许采用更大的时间步长。