A Staggered Grid Numerical Method for the Navier-Stokes Equation

Sudi Mungkasi


We consider incompressible fluid flows governed by the two-dimensional Navier-Stokes equation. The Navier-Stokes equation is solved numerically using a staggered grid finite difference method. Our aim in this paper is to assess the performance of this numerical method for the Navier-Stokes equation. The lid-driven cavity problem is taken into account to test the numerical method. In order to achieve our aim we focus on the motion of the fluid, and in particular, its velocity. Our results are compared with some available benchmark data.

Keywords— finite difference method, lid-driven cavity flow, Navier-Stokes equation, staggered grid.

Full Text:



S. Biringen and C.-Y. Chow, “An Introduction to Computational Fluid Mechanics by Example”, Hoboken, New Jersey: John Wiley and Sons, 2011.

F. H. Harlow and J. E. Welch, “Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluids with Free Surface”, Physics of Fluids, Vol. 8, pp. 2182–2189, 1965.

A. Huser and S. Biringen, “Calculation of Wind-Driven Flow at High Reynolds Numbers”, International Journal for Numerical Methods in Fluids, Vol. 14, pp. 1087–1109, 1992.

Z. Li, "Accuracy analysis of a mesh refinement method using benchmarks of 2-D lid-driven cavity flows and finer meshes", Journal of Mathematical Chemistry, Vol. 52, pp. 1156–1170, 2014.

E. Erturk, T. C. Corke and C. Gökcöl, "Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers", International Journal for Numerical Methods in Fluids, Vol. 48, pp. 747–774, 2005.

P. Moin, W. C. Reynolds and J. H. Ferziger, "Large Eddy Simulation of Incompressible Turbulent Channel Flow", Technical Report TF-12, Thermosciences Division, Department of Mechanical Engineering, Stanford University, Stanford, California, 1978.


  • There are currently no refbacks.