Residual distribution schemes for advection and advection–diffusion problems on quadrilateral cells

2006 ◽  
Vol 218 (1) ◽  
pp. 159-199 ◽  
Author(s):  
P. De Palma ◽  
G. Pascazio ◽  
D.T. Rubino ◽  
M. Napolitano
Keyword(s):  
Residual Distribution ◽  
Advection Diffusion ◽  
Residual Distribution Schemes ◽  
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

Non-unified Compact Residual-Distribution Methods for Scalar Advection–Diffusion Problems

2018 ◽  
Vol 76 (3) ◽  
pp. 1521-1546 ◽  
Author(s):  
Vishal Singh ◽  
◽  
Hossain Chizari ◽  
Farzad Ismail
Keyword(s):  
Residual Distribution ◽  
Advection Diffusion ◽  
Diffusion Problems

scholarly journals A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems: The July 2010 State of the Art

2012 ◽  
Vol 11 (4) ◽  
pp. 1043-1080 ◽  
Author(s):  
Remi Abgrall
Keyword(s):  
Finite Element ◽  
Discontinuous Galerkin ◽  
State Of The Art ◽  
Natural Extension ◽  
Parabolic Problems ◽  
Residual Distribution ◽  
Finite Volume Schemes ◽  
Stabilized Finite Element ◽  
Research Perspectives ◽  
Residual Distribution Schemes

AbstractWe describe and review non oscillatory residual distribution schemes that are rather natural extension of high order finite volume schemes when a special emphasis is put on the structure of the computational stencil. We provide their connections with standard stabilized finite element and discontinuous Galerkin schemes, show that their are really non oscillatory. We also discuss the extension to these methods to parabolic problems. We also draw some research perspectives.

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