scholarly journals IMEX‐DG Schemes for Advection‐Diffusion Problems using Term‐based or Domain‐based IMEX Splitting

PAMM ◽  
2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Sigrun Ortleb
Keyword(s):  
Advection Diffusion ◽  
Diffusion Problems

scholarly journals The Effect of Grid Skewness on Non-Unified Compact Residual Distribution Methods for Scalar Advection Diffusion Problems

CFD letters ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 58-65
Author(s):  
Hazim Fadli Aminnuddin ◽  
Farzad Ismail ◽  
Akmal Nizam Mohamed ◽  
Kamil Abdullah
Keyword(s):  
Residual Distribution ◽  
Advection Diffusion ◽  
Diffusion Problems

scholarly journals Analyzing 3D Advection-Diffusion Problems by Using the Improved Element-Free Galerkin Method

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Heng Cheng ◽  
Guodong Zheng
Keyword(s):  
Penalty Method ◽  
Weak Form ◽  
Singular Matrix ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Advection Diffusion ◽  
Computational Speed ◽  
The Difference ◽  
Element Free ◽  
Diffusion Problems

In this paper, the improved element-free Galerkin (IEFG) method is used for solving 3D advection-diffusion problems. The improved moving least-squares (IMLS) approximation is used to form the trial function, the penalty method is applied to introduce the essential boundary conditions, the Galerkin weak form and the difference method are used to obtain the final discretized equations, and then the formulae of the IEFG method for 3D advection-diffusion problems are presented. The error and the convergence are analyzed by numerical examples, and the numerical results show that the IEFG method not only has a higher computational speed but also can avoid singular matrix of the element-free Galerkin (EFG) method.

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