In this article, we present a new numerical method for solving the steady Oseen equations in an unbounded plane domain. The technique consists in coupling the boundary integral and the finite element methods. An artificial smooth boundary is introduced separating an interior inhomogeneons region fro
Coupling boundary integral and finite element methods for the Oseen coupled problem
β Scribed by Yinnian He
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 841 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
ln this paper, we represent an Oseen coupled problem and related numerical method for solving the nonstationary Navier-Stokes problem in an unbounded domain. The Oseen coupled problem consists of a coupling between the Navier-Stokes problem in an inner region and Oseen problem in an outer region. The related numerical method consists of coupling the boundary integral and the finite element method to solve the coupled problem. The variational formulation of the coupled problem and its well posedness are obtained: The optimal error estimates between the numerical solution of the Oseen coupled problem and the exact solution of the Navier-Stokes problem are provided. ~
π SIMILAR VOLUMES
The numerical solution of the non-stationary, incompressible Navier-Stokes model can be split into linearized auxiliary problems of Oseen type. We present in a unique way different stabilization techniques of finite element schemes on isotropic meshes. First we describe the state-of-the-art for the
In this article, we represent a new numerical method for solving the nonstationary Navier-Stokes equations in an unbounded domain. The technique consists of coupling the boundary integral and the finite element method. The variational formulation and the well-posedness of the coupling method are obt