High-order Accurate Compact Difference Algorithms For Thermohaline Double-diffusive System

Stability of mutiple equilibria in the incompressible, thermohaline double-diffiusive system has been simulated using high-order compact finite difference schemes. Navier-Stokes equations is soveled by fourth order accurate compact scheme. The convection terms are discretized with a fourth-order-accurate upwind compact differece approximation,the viscous terms with fourth-order-acccurate symmetrical compact differece approxi-mation,the poission equation with fourth- order-accurate compact differece approximation.This algorithm is applied to modelling the thermohaline double-diffusive system inclined enclosure. Numerical study is concerned with variation of two-dimensional incompressible viscous complex flow which relate to various Rayleigh numbers Ras and Le.The results compare agree well with the experiment and some-calculating results reported by other authors. The present high-order compact difference algorithms of the thermohaline double-diffiusive system is characterized by its high order accuracy and stability in computation. The actual application on complex natural convection and heat transfer provides more physical insight into such phenomenon.