COUPLING OF 2-DIMENSIONAL HYPERBOLIC AND ELLIPTIC-EQUATIONS

被引：6

作者：

GASTALDI, F

QUARTERONI, A

LANDRIANI, GS

机构：

[1] UNIV CATTOLICA MILAN,DIPARTIMENTO MATEMAT,I-25121 BRESCIA,ITALY

[2] CNR,IST ANAL NUMER,I-27100 PAVIA,ITALY

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1990年 / 80卷 / 1-3期

关键词：

Adjoining Two-Dimensional Domains - Elliptic Equation - Hyperbolic Equations;

D O I：

10.1016/0045-7825(90)90039-O

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We deal with the problem of interfacing an elliptic equation with a hyperbolic one in adjoining two-dimensional domains. We provide proper interface conditions and propose an iterative algorithm that alternates the solution of the elliptic equation and of the hyperbolic one within the respective subdomains. The spectral Chebyshev collocation method is used to discretize the result subproblems. Several numerical tests show that the iterative algorithm is very effective and that the computed solutions are quite accurate. This approach can be successfully applied to computational fluid dynamics problems, such as the simulation of flow around a body. © 1990.

引用

页码：347 / 354

页数：8