On simulation of reaction-diffusion systems containing self and cross-diffusion - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

On simulation of reaction-diffusion systems containing self and cross-diffusion

(1)
1

Abstract

In this article we study reaction-diffusion systems containing self and cross-diffusion using a free energy approach. This framework naturally leads to the formulation of an energy law, and to a numerical method respecting a discrete version of the latter (a linear second order finite-element method with adaptive mesh refinement). Applying this numerical scheme to a Gray-Scott system augmented with self and cross-diffusion terms, we verify numerically the energy law, and unveil patterns distinct from those obtained with linear diffusion.

Dates and versions

hal-02460169 , version 1 (29-01-2020)

Identifiers

Cite

Benjamin Aymard. On simulation of reaction-diffusion systems containing self and cross-diffusion. 2020. ⟨hal-02460169⟩
84 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More