MULTIDOMAIN DECOMPOSITION OF CURVED GEOMETRIES IN THE CHEBYSHEV COLLOCATION METHOD FOR THERMAL PROBLEMS

Authors
SCHNEIDESCH CR DEVILLE MO
Citation
Cr. Schneidesch et Mo. Deville, MULTIDOMAIN DECOMPOSITION OF CURVED GEOMETRIES IN THE CHEBYSHEV COLLOCATION METHOD FOR THERMAL PROBLEMS, Computer methods in applied mechanics and engineering, 116(1-4), 1994, pp. 87-94
Citations number
9
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
116
Issue
1-4
Year of publication
1994
Pages
87 - 94
Database
ISI
SICI code
0045-7825(1994)116:1-4<87:MDOCGI>2.0.ZU;2-S
Abstract
A general spectral method is proposed for the numerical solution of th e steady 2D thermal convection equations. The spatial discretization i s performed by means of Chebyshev orthogonal collocation which is prec onditioned by a standard Galerkin finite element technique. Non-trivia l geometries are treated by combining coordinate transformation to dom ain partitioning. Natural convection problems are thus solved in compl ex geometries while keeping the attractive properties of spectral meth ods.