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
收藏
页码：2069 / 2106
页数：38
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