A time‐accurate finite element algorithm for incompressible flow problems

Abstract

A finite element solution procedure is presented for the simulation of transient incompressible fluid flows using triangular meshes. The algorithm is based on the artificial compressibility technique in connection with a dual time‐stepping approach. A second‐order discretization is employed to achieve the required accuracy in real‐time while an explicit multistage Runge‐Kutta scheme is used to march in the pseudo‐time domain. A standard Galerkin finite element method, stabilized by using an artificial dissipation technique, is used for the spatial discretization. The performance of the proposed algorithm is demonstrated by solving a set of internal and external problems including flows with purely transient and periodic behavior.

Citation

Manzari, M.T. (2003), "A time‐accurate finite element algorithm for incompressible flow problems", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 13 No. 2, pp. 158-177. https://doi.org/10.1108/09615530310459324