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 Matem. Mod., 2020, Volume 32, Number 11, Pages 79–98 (Mi mm4235)

About solid walls boundary conditions for viscous flow problems

A. P. Duben, I. V. Abalakin, V. O. Tsvetkova

Keldysh Institute of Applied Mathematics RAS

Abstract: A methodology for setting boundary conditions on solid surfaces, based on the method of wall functions, has been developed. The technique is based on the simplified Reynolds-averaged Navier-Stokes equations with the Spalart-Almaras model as a closure in the approach of the boundary layer. As a result, the corresponding fluxes on the boundary which consider the influence of solid walls on the flow in areas with insufficient nearwall mesh resolution are computed. Discretization of the simplified system of equations is done and an algorithm for their solution has been constructed. Parallel software implementation of the developed method within the vertex-centered finite-volume research code is carried out. Based on the selected test cases, which are canonical turbulent flows, a series of computations demonstrating the capabilities of the developed method was conducted. Recommendations and limitations related to the practical usage of the proposed technology were developed.

Keywords: turbulent flow, wall functions, solid wall boundary condition.

 Funding Agency Grant Number Russian Foundation for Basic Research 18-31-00368_ìîë_à

DOI: https://doi.org/10.20948/mm-2020-11-07

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Revised: 25.08.2020
Accepted:21.09.2020

Citation: A. P. Duben, I. V. Abalakin, V. O. Tsvetkova, “About solid walls boundary conditions for viscous flow problems”, Matem. Mod., 32:11 (2020), 79–98

Citation in format AMSBIB
\Bibitem{DubAbaTsv20} \by A.~P.~Duben, I.~V.~Abalakin, V.~O.~Tsvetkova \paper About solid walls boundary conditions for viscous flow problems \jour Matem. Mod. \yr 2020 \vol 32 \issue 11 \pages 79--98 \mathnet{http://mi.mathnet.ru/mm4235} \crossref{https://doi.org/10.20948/mm-2020-11-07}