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A time-accurate finite element algorithm for incompressible flow problems

Manzari, M. T ; Sharif University of Technology | 2003

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  1. Type of Document: Article
  2. DOI: 10.1108/09615530310459324
  3. Publisher: Emerald Group Publishing Ltd , 2003
  4. Abstract:
  5. A finite element solution procedure is presented for the simulation of transient incompressible fluid flows using triangular meshes. The algorithm is based on the artificial compressibility technique in connection with a dual time-stepping approach. A second-order discretization is employed to achieve the required accuracy in real-time while an explicit multistage Runge-Kutta scheme is used to march in the pseudo-time domain. A standard Galerkin finite element method, stabilized by using an artificial dissipation technique, is used for the spatial discretization. The performance of the proposed algorithm is demonstrated by solving a set of internal and external problems including flows with purely transient and periodic behavior
  6. Keywords:
  7. Finite elements ; Incompressible flow ; Mesh
  8. Source: International Journal of Numerical Methods for Heat and Fluid Flow ; Volume 13, Issue 2-3 , 2003 , Pages 158-177 ; 09615539 (ISSN)
  9. URL: https://www.emerald.com/insight/content/doi/10.1108/09615530310459324/full/html