{"product_id":"evaluation-of-a-multigrid-scheme-nasa-technical-reports-server-ntrs-9781289262938","title":"Evaluation of a Multigrid Scheme for the Incompressible Navier-Stokes Equations","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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Nasa Technical Reports Server (Ntrs),R. C. Swanson\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1289262934\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781289262938\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Bibliogov\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/31\/2013\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 50\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.24lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.69h x 7.44w x 0.10d","brand":"Nasa Technical Reports Server (Ntrs)","offers":[{"title":"Paperback","offer_id":47611432927487,"sku":"9781289262938","price":16.75,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_417aec5f-5b13-4c5a-9c82-78c3a164175a.jpg?v=1764513844","url":"https:\/\/www.whiterainbookhouse.com\/products\/evaluation-of-a-multigrid-scheme-nasa-technical-reports-server-ntrs-9781289262938","provider":"WR Book House","version":"1.0","type":"link"}