Geodesic
Implementation and comparison of various approaches to solving coupled thermal analysis problems on unstructured meshes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 4, pp. 656-674

Voir la notice de l'article provenant de la source Math-Net.Ru

The features of a simplified approach to coupled thermal analysis problems as based on the integration of the energy equation for a viscous compressible gas are discussed. The gas velocity field is assumed to be frozen, and a single iteration is run to update it at each step of the coupling procedure. The equation describing the temperature distribution in a solid is discretized using the finite element method, while the Navier-Stokes equations describing the velocity and gas temperature distributions are discretized using the finite-volume method. The system of difference equations resulting from the finite-volume discretization is solved by applying a multigrid method and the generalized minimal residual method. The capabilities of the approaches developed are demonstrated by solving several model problems. The accelerations of the computational algorithm obtained with the use of the full and simplified approaches to the solution of the problem and various methods for solving the system of difference equations are compared. 
@article{ZVMMF_2013_53_4_a11,
     author = {K. N. Volkov},
     title = {Implementation and comparison of various approaches to solving coupled thermal analysis problems on unstructured meshes},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {656--674},
     publisher = {mathdoc},
     volume = {53},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_4_a11/}
}
TY  - JOUR
AU  - K. N. Volkov
TI  - Implementation and comparison of various approaches to solving coupled thermal analysis problems on unstructured meshes
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2013
SP  - 656
EP  - 674
VL  - 53
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_4_a11/
LA  - ru
ID  - ZVMMF_2013_53_4_a11
ER  - 
%0 Journal Article
%A K. N. Volkov
%T Implementation and comparison of various approaches to solving coupled thermal analysis problems on unstructured meshes
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2013
%P 656-674
%V 53
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_4_a11/
%G ru
%F ZVMMF_2013_53_4_a11
K. N. Volkov. Implementation and comparison of various approaches to solving coupled thermal analysis problems on unstructured meshes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 4, pp. 656-674. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_4_a11/