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Application of Local MQ-DQ Method to Solve 3D Incompressible Viscous Flows with Curved Boundary

Y.Y. Shan1, C. Shu1,2, Z.L. Lu3

Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore
Corresponding author, Email:
Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People’s Republic of China

Computer Modeling in Engineering & Sciences 2008, 25(2), 99-114.


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.


Cite This Article

Shan, Y., Shu, C., Lu, Z. (2008). Application of Local MQ-DQ Method to Solve 3D Incompressible Viscous Flows with Curved Boundary. CMES-Computer Modeling in Engineering & Sciences, 25(2), 99–114.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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