scholarly journals Error analysis of the p-version discontinuous Galerkin method for heat transfer in built-up structures

2007 ◽  
Vol 6 (3) ◽  
pp. 719-740
Author(s):  
Kim S. Bey ◽  
◽  
Peter Z. Daffer ◽  
Hideaki Kaneko ◽  
Puntip Toghaw ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Error Analysis ◽  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method

scholarly journals Construction of a parallel computational algorithm based on the Galerkin discontinuous method for solving convective heat transfer problems on unstructured staggered grids

2018 ◽  
Vol 20 (4) ◽  
pp. 448-459
Author(s):  
R. V. Zhalnin ◽  
V. F. Masyagin ◽  
E. E. Peskova
Keyword(s):  
Heat Transfer ◽  
Galerkin Method ◽  
Convective Heat Transfer ◽  
Parallel Algorithm ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Convective Heat ◽  
Computational Algorithm ◽  
Staggered Grids ◽  
Transfer Problems

The present paper is devoted to the construction of a parallel computational algorithm for solving convective heat transfer problems using the discontinuous Galerkin method on unstructured staggered grids. The computational algorithm is implemented on the basis of MPI parallel computing technology. A special feature of the algorithm is that auxiliary variables that occur when the diffusion terms are approximated by the discontinuous Galerkin method are not involved in interprocessor exchange. The developed parallel algorithm is applied to modelling of temperature dynamics in formation with a vertical injection well and hydraulic fracturing. The paper presents the results of a computational experiment and estimates the effectiveness of a parallel algorithm.

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