Control volume-radial basis function method for two-dimensional non-linear heat conduction and convection problems

C. A. Bustamante, W. F. Flórez, H. Power, M. Giraldo, A. F. Hill

    Resultado de la investigación: Capítulo del libro/informe/acta de congresoContribución a la conferenciarevisión exhaustiva

    Resumen

    An improvement to the traditional Finite Volume Method (FVM) for the solution of boundary value problems is presented. The new method applies the local Hermitian interpolation with Radial Basis Functions (RBF) as an interpolation scheme to the FVM discretization. This approach, called the Control Volume-Radial Basis Function (CV-RBF) method, uses an interpolation scheme based on the meshless Symmetric method, in which the numerical solution is approximated by employing the governing equation and the boundary condition operators. The RBF implemented is the Multiquadric (MQ) with a shape parameter found experimentally. The two-dimensional solutions to the Dirichlet problem for linear heat conduction, heat transfer in the Poiseuille flow and the non-linear conduction situations are obtained by the CV-RBF method. The numerical results are in agreement with the corresponding analytical and numerical solutions found in the literature.

    Idioma originalInglés
    Título de la publicación alojadaBoundary Elements and Other Mesh Reduction Methods XXXII, BEM/MRM 2010
    Páginas169-180
    Número de páginas12
    DOI
    EstadoPublicada - 2010
    Evento32nd International Conference on Boundary Elements and Other Mesh Reduction Methods, BEM/MRM 2010 - New Forest, Reino Unido
    Duración: 7 sept. 20109 sept. 2010

    Serie de la publicación

    NombreWIT Transactions on Modelling and Simulation
    Volumen50
    ISSN (versión impresa)1743-355X

    Conferencia

    Conferencia32nd International Conference on Boundary Elements and Other Mesh Reduction Methods, BEM/MRM 2010
    País/TerritorioReino Unido
    CiudadNew Forest
    Período7/09/109/09/10

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