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

LI Chen, WU Xiong-hua

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 2006, 23 (1): 10-18.

Abstract （376）

PDF （323KB）（1252）

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 ω 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.

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Differential Quadrature Domain Decomposition Method for a Kind of Free Boundary Problems of Parabolic Equations

WU Xiong-hua, WU Yun

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 2003, 20 (4): 307-310.

Abstract （253）

PDF （174KB）（802）

A new numerical computational Method,Differential Quadrature Domain Decomposition Method,is presented based on the advantages of Differential Quadrature Method and Domain Decomposition Method.Numerical examples find the method is more convenient and efficient for a kind of free boundary problems of parabolic equation with weak singularity in the initial value.

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