Application of local MQ-DQ method to solve 3D incompressible viscous flows with curved boundary

作者：Shank Y Y; Shu C^*; Lu Z L

来源：Computer Modeling in Engineering & Sciences, 2008, 25(2): 99-113.

• local MQ-DQ method
• error estimate
• flow past a sphere

The local multiquadric-based differential quadrature (MQ-DQ) method proposed by [Shu, Ding, and Yeo (2003)] is a natural mesh-free approach for derivative approximation, which is easy to be implemented to solve problems with curved boundary. Previously, it has been well tested for the two-dimensional (2D) case. In this work, this mesh-free method was extended to simulate fluid flow problems with curved boundary in three-dimensional (3D) space. The main concern of this work is to numerically study the performance of the 3D local MQ-DQ method and demonstrate its capability and flexibility for simulation of 3D incompressible fluid flows with curved boundary. Fractional step method was adopted for the solution of Navier-Stokes (N-S) equations in the primitive-variable form. Flow past a sphere with various Reynolds numbers was chosen as a test case to validate the 3D local MQ-DQ method. The computed solution was compared well with available data in the literature. The numerical solution shows that the local MQ-DQ method can be applied to solve incompressible viscous flow problems with curved boundary in 3D space effectively.

• 出版日期2008-2
• 单位南京航空航天大学