Numerical treatment of defective boundary conditions for the Navier-Stokes equations

被引：135

作者：

Formaggia, L ^{[1
]}

Gerbeau, JF

Nobile, F

Quarteroni, A

机构：

[1] Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland

[2] Inst Natl Rech Informat & Automat, Projet M3N, F-78153 Le Chesnay, France

[3] Politecn Milan, Dipartimento Matemat Francesco Brioschi, I-20133 Milan, Italy

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2002年 / 40卷 / 01期

关键词：

Navier-Stokes equations; boundary conditions; finite element; Lagrange multipliers; fractional step methods; simulation of blood flow;

D O I：

10.1137/S003614290038296X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a formulation for accommodating defective boundary conditions for the incompressible Navier-Stokes equations where only averaged values are prescribed on measurable portions of the boundary. In particular we consider the case where the flow rate is imposed on several domain sections. This methodology has an interesting application in the numerical simulation of flow in blood vessels, when only a reduced set of boundary data are generally available for the upstream and downstream sections.

引用

页码：376 / 401

页数：26

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