Simulation of Nonlinear Front Evolution Equations for Two Dimensional Chemical Waves Involving Convection
The nonlinear stability of two dimensional reaction fronts is considered using the viscous hydrodynamic fluid equations in the limit of infinite thermal diffusivity. A nonlinear front evolution equation which was previously derived is used to examine two dimensional fronts propagating in a slab, and a similar equation is presented for axisymmetric fronts propagating in a cylinder. Comparisons with experiments show strikingly good agreement.
Joseph W. Wilder, Desiderio A. Vasquez, Boyd F. Edwards, Simulation of nonlinear front evolution equations for two dimensional chemical waves involving convection, Physica D: Nonlinear Phenomena, Volume 90, Issues 1-2, 15 January 1996, Pages 170-178, ISSN 0167-2789, 10.1016/0167-2789(95)00224-3. (http://www.sciencedirect.com/science/article/pii/0167278995002243)