A finite element volume method to simulate flow on mixed element shapes

Darbandi, M ; Sharif University of Technology | 2003

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  1. Type of Document: Article
  2. Publisher: 2003
  3. Abstract:
  4. In order to be a powerful tool, finite-element and finite-volume methods must be capable of handling complex flow in complex geometries. In this work, a structured finite volume element method is suitably developed for solving incompressible flow on a collocated grid topology. The method is generally-applicable to arbitrarily shaped elements and orientations and, thus, challenges the potential to unify many of the different grid topologies into a single formulation. The correct estimation of the convec-tive and diffusive flux terms at cell faces remarkably enhances the solution accuracy of the extended formulation. It is shown that the current formulation is enough robust to treat any combination of multi-block meshes and/or single element shapes. In this regard, the solution domain is broken into a number of different multiblock arrangements constructed from different finite element shapes. The results of the extended formulation are validated against two benchmark solutions. The current results show excellent agreement with those of benchmarks. © 2003 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved
  5. Keywords:
  6. Finite volume method ; Collocated grids ; Benchmark solutions ; Topology
  7. Source: 36th AIAA Thermophysics Conference 2003, Orlando, FL, 23 June 2003 through 26 June 2003 ; 2003 ; 9781624100970 (ISBN)
  8. URL: https://arc.aiaa.org/doi/10.2514/6.2003-3638