HETEROGENEOUS MULTISCALE METHODS FOR ROUGH-WALL LAMINAR VISCOUS FLOW

被引：0

作者：

Carney, Sean P. ^{[1
]}

Engquist, Bjorn ^{[2
,3
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

[2] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

[3] Univ Texas Austin, Oden Inst Computat Engn & Sci, Austin, TX 78712 USA

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2022年 / 20卷 / 08期

基金：

美国国家科学基金会;

关键词：

Rough boundaries; multiscale methods; fluid dynamics; EFFECTIVE BOUNDARY-CONDITIONS; DOMAIN DECOMPOSITION; MODELS; SUPERPARAMETERIZATION; INTERFACE; FLUIDS; ERROR; LAWS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop numerical multiscale methods for viscous fluid flow over a rough boundary. The goal is to derive effective boundary conditions, or wall laws, through high resolution simulations localized to the boundary coupled to a coarser simulation in the domain interior following the framework of the heterogeneous multiscale method. Rigorous convergence of the coupled system is shown in a simplified setting. Numerical experiments illustrate the utility of the method for more general roughness patterns and far field flow conditions.

引用

页码：2069 / 2106

页数：38

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