Use of the multigrid methods for heat radiation problem
We consider the integral equation arising as a result of heat radiation exchange in both convex and nonconvex enclosures of diffuse grey surfaces. For nonconvex geometries, the visibility function must be taken into consideration. Therefore, a geometrical algorithm has been developed to provide an e...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03301160 |
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| Summary: | We consider the integral equation arising as a result of heat
radiation exchange in both convex and nonconvex enclosures of
diffuse grey surfaces. For nonconvex geometries, the visibility
function must be taken into consideration. Therefore, a
geometrical algorithm has been developed to provide an efficient
detection of the shadow zones. For the numerical realization of
the Fredholm integral equation, a boundary element method based on
Galerkin-Bubnov discretization scheme is implemented.
Consequently, multigrid iteration methods, which are closely
related to two-grid methods, are used to solve the system of
linear equations. To demonstrate the high efficiency of these
iterations, we construct some numerical experiments for different
enclosure geometries. |
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| ISSN: | 1110-757X 1687-0042 |