This paper describes an application of the recently proposed Modified Method of Fundamental Solutions (MMFS) to potential flow problems. The solution in two dimensional Cartesian coordinates is represented in terms of the double layer fundamental solution of the Laplace equation. This novel method does not require fictitious boundary as the conventional Method of Fundamental Solutions (MFS). A numerical example of potential flow around two dimensional circular region is shown. It is shown that the MMFS gives better accuracy of the velocity components as compared with the classical MFS.
B.04 Guest lecture
COBISS.SI-ID: 939003From the letter of Emerald publisher: Every year Emerald invites each journal’s Editorial Team to nominate what they believe has been that title’s Outstanding Paper and up to three Highly Commended Papers from the previous 12 months. Your article entitled Solution of thermo-fluid problems by collacoation with local pressure correction published in International Journal of Numerical Methods for Heat & Fluid Flow has been chosen as a "Highly Commended Award Winner at the Literati Network Awards for Excellence 2009".
E.02 International awards
COBISS.SI-ID: 992507The proceedings represent selected peer reviewed contributions, presented at the international conference, organised in Slovenia.
B.01 Organiser of a scientific meeting
COBISS.SI-ID: 246732288We describe an entirely new generation of the meshless methods for stochastic modelling of microstructure formation in this paper. The method is based on the discretisation based on randomly distributed nodes and not on the basis of polygons like in the classical cellular automata method. Higher discretisation flexibility and indepenedence of the results with respect to the orientation of the discretisation is achieved. An important consequence of this approach is independence of the shape of the dendritic structures as a function of the position of the crystallographic angles.
F.02 Acquisition of new scientific knowledge
COBISS.SI-ID: 1394427The multiphysic and multiscale modelling, developed in the present project is demonstrated on a realistic industrial process. The modelling of turbulent flow with solidification and coupling of the stochastic point automata on microscopic level and meshless method on macroscopic level are demonstrated on modelling of grain structure and equiaxed to columnar and columnar to equiaxed transitions in steel billet.
F.04 Increase of the technological level
COBISS.SI-ID: 1738491