Analysis of Gray Scott’s Model Numerically  

作　　者：Ahmed Abdulrahim Ahmed Amin Daoud Suleiman Mashat Ahmed Abdulrahim Ahmed Amin;Daoud Suleiman Mashat(Department of Mathematics, Numerical Analysis, King Abdulaziz University, Jeddah, Saudi Arabia)

机构地区：[1]Department of Mathematics, Numerical Analysis, King Abdulaziz University, Jeddah, Saudi Arabia

出　　处：《American Journal of Computational Mathematics》2021年第4期273-288,共16页美国计算数学期刊（英文）

摘　　要：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 understandin<span>g geometry settings and mesh information. The concentration profile chan</span>ges 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.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 understandin<span>g geometry settings and mesh information. The concentration profile chan</span>ges 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.

关 键 词：Fourth Order Compact Scheme Finite Volume Method Fully Implicit Scheme Alternating Direction Implicit (ADI) Scheme 
 Gray Scott Solver OPENFOAM 

分 类 号：O17[理学—数学]