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Evaluation of a Multigrid Scheme for the Incompressible Navier-Stokes Equations by Nasa Technical Reports Server (Ntrs), R. C. Swanson

Evaluation of a Multigrid Scheme for the Incompressible Navier-Stokes Equations

by Nasa Technical Reports Server (Ntrs) , R. C. Swanson
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Book cover type: Paperback
  • ISBN13: 9781289262938
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Bibliogov
  • Publisher Imprint: Bibliogov
  • Publication Date:
  • Pages: 50
  • Original Price: USD 16.75
  • Language: English
  • Edition: N/A
  • Item Weight: 109 grams
  • BISAC Subject(s): General

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.

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