Navier-Stokes方程的线性化微分求积法(英文)

A Linearized Differential Quadrature Method for Navier-Stokes Equations in the Streamfunction and Vorticity Form

提出一种新的线性化微分求积法(LDQM),将这种方法应用到流函数和涡量形式的Navier-Stokes方程.通过LDQM,非线性方程很容易被解出来,并且容易处理压力的边界条件.为检验本方法,计算了两个数值算例.

A new linearized differential quadrature method（LDQM） is applied to the unsteady Navier-Stokes equations in the stream-function and vorticity form. With LDQM nonlinear equations are solved easily. And the boundary conditions of to can be expressed as a function of ψ. To verify the method, three examples are treated. Numerical results show that the method is of high accuracy and good convergence.