Numerical solution of the incompressible Navier–Stokes equations with exponential type schemes

Authors: Feng, X. F.¹; Tian, Z. F.¹; Dai, S. Q.²

Source: International Journal of Computer Mathematics, Volume 82, Number 9, September 2005 , pp. 1167-1176(10)

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Abstract:

A new exponential type finite-difference scheme of second-order accuracy for solving the unsteady incompressible Navier–Stokes equation is presented. The driven flow in a square cavity is used as the model problem. Numerical results for various Reynolds numbers are given, and are in good agreement with those presented by Ghia et al . (Ghia, U., Ghia, K.N. and Shin, C.T., 1982, High-Re solutions for incompressible flow using the Navier–Stokes equations and a multi-grid method. Journal of Computational Physics , 48, 387–411.).

Keywords: Exponential type; Navier–Stokes equations; Driven cavity; Velocity profile

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207160500113249

Affiliations: 1: School of Mathematics and Computer Science, Ningxia University, Yinchuan, 750021, P.R. China 2: Shanghai Institute of Applied Mathematics & Mechanics, Shanghai University, Shanghai, 200072, P.R. China

Publication date: 2005-09-01

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