Božidar Šarler (Author), Shiting Wen (Author), Ming Li (Author), Qingguo Liu (Author)

Abstract

The solution of Stokes flow problems with Dirichlet and Neumann boundary conditions is performed by a non-singular Method of Fundamental Solutions which does not require artificial boundary, i.e. source points of fundamental solution coincide with the collocation points on the boundary. Instead of Dirac delta force, an exponential function, called blob, with a free parameter epsilon is employed, which limits to Dirac delta function when epsilon limits to zero. The solution of the problem is sought as a linear combination of the fields due to the regularized sources that coincide with the boundary and with their intensities chosen in such a way that the solution complies with the boundary conditions. A two-dimensional flow between parallel plates is chosen to assess the properties of the method. The results of the method are accurate except for the derivatives at the boundary. A correction of the method is proposed which can be used to properly assess also the derivatives at the boundary

Keywords

stokes flow;method of regularized sources;meshless method;

Data

Language: English
Year of publishing:
Typology: 1.12 - Published Scientific Conference Contribution Abstract
Organization: UNG - University of Nova Gorica
UDC: 536
COBISS: 4417531 Link will open in a new window
Views: 3545
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Other data

URN: URN:SI:UNG
Type (COBISS): Not categorized
Pages: Str. 28-29
ID: 9153681