{ "item_title" : "Evaluation of a Multigrid Scheme for the Incompressible Navier-Stokes Equations", "item_author" : [" Nasa Technical Reports Server (Ntrs)", "R. C. Swanson "], "item_description" : "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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/1/28/926/293/1289262934_b.jpg", "price_data" : { "retail_price" : "16.75", "online_price" : "16.75", "our_price" : "16.75", "club_price" : "16.75", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

Overview

Customers Also Bought

Details