Evaluation of a Multigrid Scheme for the Incompressible Navier-Stokes Equations (Paperback) (ISBN-13: 9781289262938)

A fast multigrid solver for the steady, incompressible Navier-Stokes equations is presented. The multigrid solver is based upon a factorizable discrete scheme for the velocity-pressure form of the Navier-Stokes equations. This scheme correctly distinguishes between the advection-diffusion and elliptic parts of the operator, allowing efficient smoothers to be constructed. To evaluate the multigrid algorithm, solutions are computed for flow over a flat plate, parabola, and a Karman-Trefftz airfoil. Both nonlifting and lifting airfoil flows are considered, with a Reynolds number range of 200 to 800. Convergence and accuracy of the algorithm are discussed. Using Gauss-Seidel line relaxation in alternating directions, multigrid convergence behavior approaching that of O(N) methods is achieved. The computational efficiency of the numerical scheme is compared with that of Runge-Kutta and implicit upwind based multigrid methods.

Author: Nasa Technical Reports Server (Ntrs),R. C. Swanson
ISBN-10: 1289262934
ISBN-13: 9781289262938
Publisher: Bibliogov
Language: English
Published: 07/31/2013
Pages: 50
Format: Paperback
Weight: 0.24lbs
Size: 9.69h x 7.44w x 0.10d