Comparison of Finite Difference and Finite Volume Method for Numerical Simulation of the Incompressible Viscous Driven Cavity Flow

Jian Wang; Jiang Fei Li; Wen Xue Cheng; Lian Yuan; Bo Li; Zhi Zhong Fu; Long Jin

doi:10.4028/www.scientific.net/AMR.732-733.413

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 732-733Comparison of Finite Difference and Finite Volume...

Comparison of Finite Difference and Finite Volume Method for Numerical Simulation of the Incompressible Viscous Driven Cavity Flow

Abstract:

In this paper, finite difference method and finite volume method are applied to incompressible viscous driven cavity flow problems, and their results are analyzed and compared. As for the finite difference method, second-order upwind and second-order central difference format are applied to the discretization of the convection and diffusion items respectively. For the finite volume method, three different ways are utilized to discretize the control equations: QUICK, second-order central difference and third-order upwind formats. The results show that computing time as well as calculation accuracy exponentially depends on Reynolds number, discrete formats and grid numbers.

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Periodical:

Advanced Materials Research (Volumes 732-733)

Pages:

413-416

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.732-733.413

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Online since:

August 2013

Authors:

Jian Wang, Jiang Fei Li, Wen Xue Cheng, Lian Yuan, Bo Li, Zhi Zhong Fu, Long Jin

Keywords:

Driven Cavity Flow, Finite Difference, Finite Volume, Streamline, Vortex

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