Author(s)

Ahmed Abdulrahim Ahmed Amin, Daoud Suleiman Mashat^*

Department of Mathematics, Numerical Analysis, King Abdulaziz University, Jeddah, Saudi Arabia.

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.

Fourth Order Compact Scheme, Finite Volume Method, Fully Implicit Scheme, Alternating Direction Implicit (ADI) Scheme,
Gray Scott Solver, OpenFoam

Amin, A. and Mashat, D. (2021) Analysis of Gray Scott’s Model Numerically. American Journal of Computational Mathematics, 11, 273-288. doi: 10.4236/ajcm.2021.114018.