Finite element modified method of characteristics for the Navier-Stokes equations

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DOIResolve DOI: http://doi.org/10.1002/(SICI)1097-0363(20000229)32:4<439::AID-FLD946>3.0.CO;2-Y
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TypeArticle
Journal titleInternational Journal for Numerical Methods in Fluids
Volume32
Issue4
Pages439463; # of pages: 25
Subjectcharacteristics finite elements; incompressible viscous flow
AbstractAn algorithm based on the finite element modified method of characteristics (FEMMC) is presented to solve convection-diffusion, Burgers and unsteady incompressible Navier-Stokes equations for laminar flow. Solutions for these progressively more involved problems are presented so as to give numerical evidence for the robustness, good error characteristics and accuracy of our method. To solve the Navier-Stokes equations, an approach that can be conceived as a fractional step method is used. The innovative first stage of our method is a backward search and interpolation at the foot of the characteristics, which we identify as the convective step. In this particular work, this step is followed by a conjugate gradient solution of the remaining Stokes problem. Numerical results are presented for: a) Convection-diffusion equation. Gaussian hill in a uniform rotating field. b) Burgers equations with viscosity. c) Navier-Stokes solution of lid-driven cavity flow at relatively high Reynolds numbers. d) Navier-Stokes solution of flow around a circular cylinder at Re=100.
Publication date
AffiliationNRC Institute for Ocean Technology; National Research Council Canada
Peer reviewedYes
IdentifierIR-2000-03
NRC number5170
NPARC number8895551
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Record identifierd32359a7-d9bf-482f-b9d3-02605fa8403c
Record created2009-04-22
Record modified2016-05-09
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