Improved accuracy in regularization models of incompressible flow via adaptive nonlinear filtering

被引：19

作者：

Bowers, A. L. ^{[1
]}

Rebholz, L. G. ^{[1
]}

Takhirov, A. ^{[2
]}

Trenchea, C. ^{[2
]}

机构：

[1] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2012年 / 70卷 / 07期

基金：

美国国家科学基金会;

关键词：

error estimation; finite element; incompressible flow; Navier-Stokes; reduced order modeling; turbulence models; HELICAL STRUCTURES; TURBULENCE; FLUID;

D O I：

10.1002/fld.2732

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We study the adaptive nonlinear filtering in the Leray regularization model for incompressible, viscous Newtonian flow. The filtering radius is locally adjusted so that resolved flow regions and coherent flow structures are not filtered out, which is a common problem with these types of models. A numerical method is proposed that is unconditionally stable with respect to time step and decouples the problem so that the filtering becomes linear at each time step and is decoupled from the system. Several numerical examples are given that demonstrate the effectiveness of the method. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：805 / 828

页数：24

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