AN ALGEBRAIC MULTIGRID SOLVER FOR THE NAVIER—STOKES EQUATIONS ON UNSTRUCTURED MESHES

Abstract

A simple algebraic multigrid (AMG) solver for linear equations is presented, and its performance compared with a conjugate gradient scheme. This multigrid method is extended to solve the discrete Navier—Stokes equations, obtained by applying a finite volume approach to three‐dimensional incompressible flow on a finite element mesh. The resulting multigrid solver is incorporated into a general purpose flow code (ASTEC), where it proves faster than the original solution algorithm, based upon SIMPLE. The linear AMG solver is both efficient and robust, but the extension to include coupling in the Navier—Stokes equations does not converge on all problems.

Citation

LONSDALE, R.D. (1993), "AN ALGEBRAIC MULTIGRID SOLVER FOR THE NAVIER—STOKES EQUATIONS ON UNSTRUCTURED MESHES", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 3 No. 1, pp. 3-14. https://doi.org/10.1108/eb017512