Implicit Solution of 2-dimensional Compressible Flow, Using Parallel Krylov Method<br/>

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Implicit Solution of 2-dimensional Compressible Flow, Using Parallel Krylov Method

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 40037 (45)
University: Sharif University of Technology
Department: Aerospace Engineering
Advisor(s): Taeibi Rahni, Mohammad; Sabetghadam, Fereidoon
Abstract:
Numerical Simulation of two-dimensional steady compressible fluid flow on unstructured grids was accomplished using a fast implicit algorithm. To solve the copmlete two-dimensional Navier-Stokes equations, implicit time stepping was used which results in a large sparse linear system in each iteration. To solve the linear system, the biconjugate gradient method which belongs to Krylov subspace methods family, with an ILU(0) preconditioner was used. For accelerating the solution in large problems, parallel processing was used for linear system to be solved faster. Two upwind methods, namely Roe’s and AUSM+ methods were used for spatial descritizaion of inviscid fluxes with a MUSCL algorithm for increasing the spatial order of accuracy. Turbulence was modeled using the model. The results were verificated by valid references and the efficiency of the algorithms were investigated which show a fast convergence behaviour of the implicit algorithm.
Keywords:
Upwinding Scheme ; Jacobi Matrice ; Parallel Processing ; Implicit Time stepping ; Biconjugate Gradient Method

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