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Multigrid convergence acceleration for implicit and explicit solution of Euler equations on unstructured grids

Ramezani, A ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1002/fld.2058
  3. Publisher: 2010
  4. Abstract:
  5. The multigrid method is one of the most efficient techniques for convergence acceleration of iterative methods. In this method, a grid coarsening algorithm is required. Here, an agglomeration scheme is introduced, which is applicable in both cell-center and cell-vertex 2 and 3D discretizations. A new implicit formulation is presented, which results in better computation efficiency, when added to the multigrid scheme. A few simple procedures are also proposed and applied to provide even higher convergence acceleration. The Euler equations are solved on an unstructured grid around standard transonic configurations to validate the algorithm and to assess its superiority to conventional explicit agglomeration schemes. The scheme is applied to 2 and 3D test cases using both cell-center and cell-vertex discretizations
  6. Keywords:
  7. Agglomeration ; Cell-center ; Cell-vertex ; Compressible flows ; Implicit ; Multigrid ; Unstructured grids ; Computation efficiency ; Convergence acceleration ; Discretizations ; Explicit solutions ; Implicit ; Implicit formulation ; Multi-grid ; Multigrid methods ; Test case ; Unstructured grid ; Acceleration ; Compressible flow ; Computational efficiency ; Computational fluid dynamics ; Euler equations ; Three dimensional ; Cells
  8. Source: International Journal for Numerical Methods in Fluids ; Volume 62, Issue 9 , 2010 , Pages 994-1012 ; 02712091 (ISSN)
  9. URL: http://onlinelibrary.wiley.com/doi/10.1002/fld.2058/abstract;jsessionid=CB28F8822CC24F170A19F3A3BAB657AF.f03t02