TITLE:
Analysis of Gray Scott’s Model Numerically
AUTHORS:
Ahmed Abdulrahim Ahmed Amin, Daoud Suleiman Mashat
KEYWORDS:
Fourth Order Compact Scheme, Finite Volume Method, Fully Implicit Scheme, Alternating Direction Implicit (ADI) Scheme, Gray Scott Solver, OpenFoam
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.11 No.4,
December
10,
2021
ABSTRACT: In this paper, a two-dimensional nonlinear coupled
Gray Scott system is simulated with a finite difference scheme and a finite
volume technique. Pre and post-processing lead to a new solution called GSmFoam
by understanding geometry settings and mesh
information. The concentration profile changes over time, as does the
intensity of the contour patterns. The OpenFoam solver gives you the confidence
to compare the pattern result with efficient numerical algorithms on the Gray
Scott model.