TY  - EJOU
AU  - Shan, Y.Y.  
AU  - Shu, C.  
AU  - Lu, Z.L.  

TI  - Application of Local MQ-DQ Method to Solve 3D Incompressible Viscous Flows with Curved Boundary
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2008
VL  - 25
IS  - 2
SN  - 1526-1506

AB  - 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.
KW  - Local MQ-DQ method
KW  -  Error estimate
KW  -  Flow past a sphere

DO  - 10.3970/cmes.2008.025.099