This paper aims to point out the critical problems in numerical verification of solidification simulation codes and the complexity of the verification and to propose and apply a procedure of generalized verification for macrosegregation simulation.
COBISS.SI-ID: 888059
The purpose of this paper is to explore the application of the mesh-free local radial basis function collocation method (RBFCM) in solution of coupled heat transfer and fluid-flow problems. The pressure-velocity coupling is calculated iteratively, with pressure correction, predicted from the local mass continuity equation violation. This formulation does not require solution of pressure Poisson or pressure correction Poisson equations and thus much simplifies the previous attempts in the field.
COBISS.SI-ID: 992507
The melting/freezing of a pure substance is solved in primitive variables on a fixed grid with convection suppression, proportional to the amount of the solid fraction. The involved temperature, velocity and pressure fields are represented on overlapping sub-domains through collocation by using multiquadrics radial basis functions. The pressure-velocity coupling is calculated iteratively, with local pressure correction. 2D benchmark test is performed for two classes of materials: metals with Pr=0.02, Ste=0.01, Ra=2.51e4, 2.5e5, and organic materials with Pr=50, Ste=0.1, Ra=10e7, 10e8.
COBISS.SI-ID: 1246203
We describe the basic formulations, physical models, and numerical methods used in modelling of solid liquid phase changes in this chapter of the book, issued in Germany.
COBISS.SI-ID: 1165563
Development of meshless local collocation method for solution of incompressible turbulent problems of mixed forced and natural convection problems is described in the present work. The advantages of the represented mesh-free approach are its simplicity, accuracy, similar coding in 2 and 3 dimensions, and straightforward applicability in non-uniform node arrangements. The results have been verified by achieving reasonable agreement with the direct numerical simulation of Kasagi and Nishimura for Reynolds number 4494, based on the channel width, and Grashof number 9.6x10+5.
COBISS.SI-ID: 1781243