Section outline

  • In this document, the Finite Volume Method (FVM) -  one of the methods most commonly used in CFD - is described in some detail. Starting from the generic transport equation for Cartesian structured grids, the segregated and coupled methodologies for the solution of the flow and energy equations for such grids are then addressed. It follows with a description of the major features and properties of the method when applied to the transport equation for general, polyhedral-type, unstructured grids.

    • Finite Volume Method - Metodo dei Volumi Finiti File

      The Finite Volume method is presented for cell-centered grids. Cartesian and generally unstructured, polyhedral grids are considered. The main contents are:

      • Generalities and the basic idea
        • The computational grid
      • Spatial discretization
        • The steady case: surface and volume integrals, source term
      • Interpolation techniques
      • Final algebraic equation
      • Boundary conditions
      • Temporal integration
        • Application to the generic transport equation
      • Solution of the linear equation systems
        • Direct methods
        • Iterative methods
      • Thermal-fluid problems
        • Rhie-Chow interpolation
      • Finite volume procedure
        • Segregated methods
        • Coupled methods
      • Unstructured grids
        • Geometric quantities and grid quality
        • Gradient calculation
        • Unsteady and source terms
        • Convective and diffusive fluxes
        • Initial and boundary conditions
        • Final algebraic equation
        • Data structure for cell-centered unstructured grids

    • Esempio di linearizzazione ed implementazione del termine sorgente in ANSYS-CFX File