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On Boundary Conditions on Solid Walls in Viscous Flow Problems
Mathematical Models and Computer Simulations Pub Date : 2021-07-14 , DOI: 10.1134/s2070048221040128
A. P. Duben 1 , I. V. Abalakin 1 , V. O. Tsvetkova 1
Affiliation  

Abstract

A technique for setting boundary conditions on solid surfaces based on the method of near-wall functions is presented. The technique is based on solving the Reynolds-averaged Navier-Stokes equations with the Spalart-Allmaras (SA) closure model in the boundary layer approximation. The obtained solution is used to formulate flow boundary conditions that compensate the insufficient mesh resolution of the boundary layers. For a simplified system of equations, discretization is performed and a solution algorithm is constructed. A parallel software implementation of the method is carried out in a finite-volume computational code. Based on the test cases, which are canonical turbulent flows, a series of calculations are carried out to demonstrate the capabilities of the developed technique. Recommendations and limitations related to the practical application of the proposed technique are developed.



中文翻译:

粘性流动问题中实体壁的边界条件

摘要

提出了一种基于近壁函数法的固体表面边界条件设置技术。该技术基于使用边界层近似中的 Spalart-Allmaras (SA) 闭合模型求解雷诺平均 Navier-Stokes 方程。获得的解决方案用于制定流动边界条件,以补偿边界层网格分辨率不足的问题。对于简化的方程组,执行离散化并构建求解算法。该方法的并行软件实现是在有限体积的计算代码中进行的。基于典型湍流的测试案例,进行了一系列计算以证明所开发技术的能力。

更新日期:2021-07-14
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