Open Access

ARTICLE

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

Y.Y. Shan¹, C. Shu^1,2, Z.L. Lu³

1 Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore
2 Corresponding author, Email: mpeshuc@nus.edu.sg
3 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. https://doi.org/10.3970/cmes.2008.025.099

Abstract

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.

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Keywords

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