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Implicit finite volume method to simulate reacting flow

Darbandi, M ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.2514/6.2005-574
  3. Publisher: American Institute of Aeronautics and Astronautics Inc , 2005
  4. Abstract:
  5. In this work, an efficient bi-implicit strategy is suitably developed within the context of a finite volume element approach in order to solve turbulent reactive flow governing equations. Based on the essence of control-volume-based finite-element methods, the formulation retains the geometrical flexibility of the pure finite element methods while derives the discrete algebraic governing equations through using the conservation balance applied to discrete control volumes distributed all over the solution domain. The physical influence upwinding scheme is used to approximate the advection fluxes at all cell faces. While respecting the physics of flow, this scheme also provides the necessary coupling of velocity and pressure fields. The two-equation k - ε turbulence model and one step mixture fraction chemistry equation are simultaneously solved in a semi-coupled manner in order to achieve a better prediction of both the transport of turbulent species and the transport of mass fraction species. The validation of the current numerical results is fulfilled by comparing them with experimental data and other available numerical results
  6. Keywords:
  7. Algebra ; Finite element method ; Finite volume method ; Mathematical models ; Numerical analysis ; Turbulent flow ; Flow governing equations ; Pressure fields ; Reacting flow ; Upwinding scheme ; Flow of fluids
  8. Source: 43rd AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 10 January 2005 through 13 January 2005 ; 2005 , Pages 7563-7573
  9. URL: https://arc.aiaa.org/doi/10.2514/6.2005-574