Open AccessMétodo de elementos de borde jerárquico basado en el árbol de Barnes-Hut aplicado a flujo reptante exterior
Author(s) -
Sofia Soledad Sarraf,
Jorge D’Elı́a,
Laura Battaglia,
Ezequiel J. López
Publication year - 2014
Publication title -
revista internacional de métodos numéricos para cálculo y diseño en ingeniería
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.213
H-Index - 9
eISSN - 1886-158X
pISSN - 0213-1315
DOI - 10.1016/j.rimni.2013.07.005
Subject(s) - generalized minimal residual method , mathematics , eigenvalues and eigenvectors , computation , mathematical analysis , operator (biology) , residual , physics , algorithm , biochemistry , chemistry , quantum mechanics , repressor , transcription factor , gene
In this work, a hierarchical variant of a boundary element method and its use in Stokes flow around three-dimensional rigid bodies in steady regime is presented. The proposal is based on the descending hierarchical low-order and self-adaptive algorithm of Barnes-Hut, and it is used in conjunction with an indirect boundary integral formulation of second class, whose source term is a function of the undisturbed velocity. The solution field is the double layer surface density, which is modified in order to complete the eigenvalue spectrum of the integral operator. In this way, the rigid modes are eliminated and both a non-zero force and a non-null torque on the body could be calculated. The elements are low order flat triangles, and an iterative solution by generalized minimal residual (GMRES) is used. Numerical examples include cases with analytical solutions, bodies with edges and vertices, or with intricate shapes. The main advantage of the presented technique is the possibility of considering a greater number of degrees of freedom regarding traditional collocation methods, due to the decreased demand of main memory and the reduction in the computation times