High accuracy numerical simulation of traveling wave convection in an intermediate-aspect-ratio rectangular cell with small perturbation

By using the high order compact finite difference scheme,and through the numerical simulations of two-dimensional hydrodynamic perturbation equations,the evolution of spatio-temporal patterns of the traveling wave convection in fluid mixtures in an intermediated-aspect-ratio rectangular cell with small temperature perturbation under the weakly Soret effect is performed.The result shows that counterpropagating waves are generated and modulated until the system evolves to spatially modulated counterpropagating and finally to a stable stationary overturning convection.Based on this,the Rayleigh effect on the course of spatio-temporal evolution from modulated counterpropagating wave to stationary overturning convection is discussed.