Numerical examination of the effect of different boundary conditions on the method of approximate particular solutions for scalar and vector problems

W. F. Florez, M. Portapila, N. Caruso, D. A. Castro, C. A. Bustamante, R. Posada, J. M. Granados

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

Resumen

This work presents a numerical study of the influence of different boundary conditions (BC) on the precision of the method of approximate particular solutions (MAPS) with radial basis functions in two dimensions. The state of the art merely mentions that the MAPS accuracy decreases near the boundaries. Therefore, the influence that the choice of boundary condition has on this method should be studied with more detail. The present analysis with numerical experiments was applied to the solution of homogeneous Stokes flow equations, backward facing step flow, Slip flow, convective flow between parallel vertical plates and to elliptic differential equations with variable coefficients. The results show that care must be taken in choosing the boundary conditions for this type of solution methods because this selection affects the precision of the results. It is shown that the error associated with Neumann boundary condition, can be reduced by using a refined nodal distribution towards the inlet and outlet zones. Conversely, mixed boundary conditions require careful combination of traction and velocity to achieve better accuracy with MAPS for some flow problems.

Idioma originalInglés
Páginas (desde-hasta)75-90
Número de páginas16
PublicaciónEngineering Analysis with Boundary Elements
Volumen127
DOI
EstadoPublicada - 1 jun. 2021
Publicado de forma externa

Nota bibliográfica

Publisher Copyright:
© 2021 Elsevier Ltd

Huella

Profundice en los temas de investigación de 'Numerical examination of the effect of different boundary conditions on the method of approximate particular solutions for scalar and vector problems'. En conjunto forman una huella única.

Citar esto