A gradient random walk method for two-dimensional reaction-diffusion equations
- National Inst. of Diabetes and Digestive and Kidney Diseases, Bethesda, MD (United States)
- National Inst. of Diabetes and Digestive and Kidney Diseases, Bethesda, MD (United States) Inst. for Defense Analyses, Bowie, MD (United States). Supercomputing Research Center
An extension to two space dimensions of the gradient random walk algorithm for reaction-diffusion equations is presented. This family of algorithms is related closely to the random vortex method of computational fluid dynamics. Although the computational cost is high, the method has the desirable features of being grid free and of automatically adapting to the solution by concentrating elements where the gradient is large. In addition, the method can be extended easily to more than two space dimensions. A key feature of the method is discretization in terms of the dependent, rather than independent, variable, giving it features in common with Lagrangian particle methods. The method is derived here and its application to some simple reaction-diffusion wave propagation problems is illustrated.
- OSTI ID:
- 7020450
- Journal Information:
- SIAM Journal on Scientific Computing; (United States), Vol. 15:6; ISSN 1064-8275
- Country of Publication:
- United States
- Language:
- English
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