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Methods of fundamental solutions for harmonic and biharmonic boundary value problems
(1998)
In this work, the use of the Method of Fundamental Solutions (MFS) for solving elliptic partial differential equations is investigated, and the performance of various least squares routines used for the solution of the ...
Perturbation solutions of weakly compressible Newtonian Poiseuille flows with Navier slip at the wall
(2012)
We consider both the planar and axisymmetric steady, laminar Poiseuille flows of a weakly compressible Newtonian fluid assuming that slip occurs along the wall following Navier's slip equation and that the density obeys a ...
The method of fundamental solutions for inhomogeneous elliptic problems
(1998)
We investigate the use of the Method of Fundamental Solutions (MFS) for solving inhomogeneous harmonic and biharmonic problems. These are transformed to homogeneous problems by subtracting a particular solution of the ...
The Method of Fundamental Solutions for Stokes Flows with a Free Surface
(1998)
We investigate the use of the Method of Fundamental Solutions (MFS) for solving Stokes flow problems with a free surface. We apply the method to the creeping planar Newtonian extrudate-swell problem and study the effect ...
The method of fundamental solutions for Signorini problems
(1998)
We investigate the use of the method of fundamental solutions (MFS) for the numerical solution of Signorini boundary value problems. The MFS is an ideal candidate for solving such problems because inequality conditions ...
Some aspects of the one-dimensional version of the method of fundamental solutions
(2001)
The method of fundamental solutions (MFS) is a well-established boundary-type numerical method for the solution of certain two- and three-dimensional elliptic boundary value problems. The basic ideas were introduced by ...
Viscoplastic flow in an extrusion damper
(2016)
Numerical simulations of the flow in an extrusion damper are performed using a finite volume method. The damper is assumed to consist of a shaft, with or without a spherical bulge, oscillating axially in a containing ...
Performance of the finite volume method in solving regularised Bingham flows: Inertia effects in the lid-driven cavity flow
(2014)
We extend our recent work on the creeping flow of a Bingham fluid in a lid-driven cavity, to the study of inertial effects, using a finite volume method and the Papanastasiou regularisation of the Bingham constitutive model ...
Solution of viscoplastic flows with the finite volume / multigrid method
(National Technical University of Athens, 2013)
We investigate the performance of the finite volume method in solving viscoplastic flows. The square lid-driven cavity flow of a Bingham plastic is chosen as the test case and the constitutive equation is regularised as ...