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
Publicado de forma externa
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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