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Multiblock hybrid grid finite volume method to solve flow in irregular geometries

Darbandi, M ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1016/j.cma.2006.04.005
  3. Publisher: 2006
  4. Abstract:
  5. In this work, a finite-volume-based finite-element method is suitably developed for solving incompressible flow and heat transfer on collocated hybrid grid topologies. 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 key point in this formulation is the correct estimation of the convective and diffusive fluxes at the cell faces using a novel physical influence scheme. This scheme remarkably enhances the achieved solution accuracy. It is shown that the extended formulation is robust enough to treat any combination of multiblock meshes with dual element shape employments. In this regard, the solution domain is broken up into a number of different multiblock arrangements in which each block is filled with only one type of finite element shape. The combined grid can decrease the computational time and memory requirements and increase the numerical accuracy. The results of the extended formulation are validated against different benchmark and other solutions. The current results are in excellent agreement with the other solutions without exhibiting any disturbances around the block boundaries. © 2006 Elsevier B.V. All rights reserved
  6. Keywords:
  7. Computational geometry ; Computer simulation ; Finite volume method ; Heat flux ; Heat transfer ; Hybrid grid finite volume method ; Irregular geometries ; Multiblock finite volume method ; Multiblock meshes ; Incompressible flow ; Computational methods ; Finite element method
  8. Source: Computer Methods in Applied Mechanics and Engineering ; Volume 196, Issue 1-3 , 2006 , Pages 321-336 ; 00457825 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0045782506001617