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

Hazim Fadli  Aminnuddin; Farzad  Ismail; Akmal Nizam  Mohamed; Kamil  Abdullah

Authors

Hazim Fadli Aminnuddin Faculty of Mechanical and Manufacturing, Universiti Tun Hussein Onn Malaysia, Parit Raja, 86400, Johor, Malaysia
Farzad Ismail School of Aerospace Engineering, Engineering Campus, Universiti Sains Malaysia, Nibong Tebal, 14300, Pulau Pinang, Malaysia
Akmal Nizam Mohamed Faculty of Mechanical and Manufacturing, Universiti Tun Hussein Onn Malaysia, Parit Raja, 86400, Johor, Malaysia
Kamil Abdullah Faculty of Mechanical and Manufacturing, Universiti Tun Hussein Onn Malaysia, Parit Raja, 86400, Johor, Malaysia

Keywords:

residual distribution, flux-difference, advection-diffusion, non-unified, grid skewness

Abstract

In this paper, the newly developed residual distribution (RD) method called the FluxDifference approach is combined with the Galerkin method to solve the advection-diffusion equation in separate (non-unified) manner. It is due to the incapability of variation grid skewness in finite volume. This Flux-Difference RD method maintains a compact stencil and the whole process of solving advection–diffusion do not require additional equations. In order to improve the order of accuracy losses by the classic RD schemes, the present scheme will be tested using non-unified manners. The numerical results show that the Flux-Difference RD method preserves second-order accuracy up to about skewness 0.4 but drops to about 1.5 orders accurate when grid skewness is 0.6.