Accurate implicit solution of 3-D Navier-Stokesequations

Ulgen Gulcat*, A. Rustem Aslan, Vildan U. Unal

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A second order accurate, both in time and in space, implicit Finite Element scheme is developed and implemented. A modified version of the two step fractional method is used in time discretization of the momentum equation. At each time step, the momentum equation is solved only once. The space is discretized with brick elements. For high Reynolds number flows, a forth order artificial viscosity is used for stabilizing the solver. The pressure at each time level is obtained via an auxiliary scalar potential which satisfies the Poisson's equation. Lid-driven flow in a cubic cavity with a Reynolds number of 1000 is selected as a test case to demonstrate the accuracy and the robustness of the method used. Time accurate solutions are obtained with time steps 5 times the step size of an stable explicit method.

Original languageEnglish
Title of host publicationEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Publication statusPublished - 2000
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 - Barcelona, Spain
Duration: 11 Sept 200014 Sept 2000

Publication series

NameEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

Conference

ConferenceEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Country/TerritorySpain
CityBarcelona
Period11/09/0014/09/00

Keywords

  • Distributed paralel computing
  • Impcompressible 3-D Navier-Stokes
  • Implicit methods

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