Boussinesq equation with moderate current

The Boussinesq equations with the transient and non-uniform current of O(ε^1/2) are derived.The effects of currents on the distributions of velocities and pressure are discussed.The prediction-correction method of finite difference scheme is employed to solve the equat ions numerically.The numerical results are compared with the experimental data for the case of currents being equal to 0 and the agreements are good,which demonstrates the accuracy of the equations and the efficiency of the numerical methods.The numerical results are also compared with the numerical results of the classic Boussinesq equations and the Boussinesq equations with strong currents of O(1),and the application range of the equations is also investigated.