A Cell-Centered Adaptive Projection Method for the IncompressibleNavier-Stokes Equations in Three Dimensions

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We present a method for computing incompressible viscousflows in three dimensions using block-structured local refinement in bothspace and time. This method uses a projection formulation based on acell-centered approximate projection, combined with the systematic use ofmultilevel elliptic solvers to compute increments in the solutiongenerated at boundaries between refinement levels due to refinement intime. We use an L_0-stable second-order semi-implicit scheme to evaluatethe viscous terms. Results are presentedto demonstrate the accuracy andeffectiveness of this approach.

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Martin, D.F.; Colella, P. & Graves, D.T. September 25, 2007.

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We present a method for computing incompressible viscousflows in three dimensions using block-structured local refinement in bothspace and time. This method uses a projection formulation based on acell-centered approximate projection, combined with the systematic use ofmultilevel elliptic solvers to compute increments in the solutiongenerated at boundaries between refinement levels due to refinement intime. We use an L_0-stable second-order semi-implicit scheme to evaluatethe viscous terms. Results are presentedto demonstrate the accuracy andeffectiveness of this approach.

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  • Journal Name: Journal of Computational Physics; Journal Volume: 227; Journal Issue: 3; Related Information: Journal Publication Date: 01/2008

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  • Report No.: LBNL--62025
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 922816
  • Archival Resource Key: ark:/67531/metadc900846

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  • September 25, 2007

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  • Sept. 27, 2016, 1:39 a.m.

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  • Sept. 29, 2016, 1:48 p.m.

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Martin, D.F.; Colella, P. & Graves, D.T. A Cell-Centered Adaptive Projection Method for the IncompressibleNavier-Stokes Equations in Three Dimensions, article, September 25, 2007; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc900846/: accessed August 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.