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Multidomain decomposition of curved geometries in the Chebyshev collocation method for thermal problems

✍ Scribed by C.R. Schneidesch; M.O. Deville

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
442 KB
Volume
116
Category
Article
ISSN
0045-7825

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✦ Synopsis

A general spectral method is proposed for the numerical solution of the steady 2D thermal convection equations. The spatial discretization is performed by means of Chebyshev orthogonal collocation which is preconditioned by a standard Galerkin finite element technique. Non-trivial geometries are treated by combining coordinate transformation to domain partitioning. Natural convection problems are thus solved in complex geometries while keeping the attractive properties of spectral methods.

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