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Implementation of boundary conditions in pressure-based finite volume methods on unstructured grids

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ABSTRACT In this study, the implementation of boundary conditions for the Navier–Stokes and the energy equations, including the pressure and pressure correction equations, are presented in the context of finite… Click to show full abstract

ABSTRACT In this study, the implementation of boundary conditions for the Navier–Stokes and the energy equations, including the pressure and pressure correction equations, are presented in the context of finite volume formulation on cell-centered, colocated unstructured grids. The implementation of boundary conditions is formulated in terms of the contribution of boundary face of a cell to the coefficients of the discretized equation for either Dirichlet- or Neumann-type boundary conditions. Open boundaries through which the flow is not fully developed are also considered. In this case, a data reconstruction method is proposed for finding the boundary values of the variables at the correction stage. The validity of implementations is checked by comparing the results with some well-known benchmark problems.

Keywords: pressure; boundary conditions; finite volume; implementation boundary; unstructured grids

Journal Title: Numerical Heat Transfer, Part B: Fundamentals
Year Published: 2017

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