The study is concerned about a mathematical modelling of complex clearance flow in two-dimensional models of a male rotor-housing gap and of an undesirable gap caused by the incorrect contact of rotor teeth in a screw-type machine. Both problems are solved as a non-stationary turbulent...

Fundamentals of two different numerical approaches to the fluid flow modelling are presented. The smoothed particle hydrodynamics (SPH) is a meshless approach, while the finite volume (FV) method is defined on a grid. Within SPH, the computational grid is replaced by a finite set of...

Modeling of non-linear phenomena always brings the question of uniqueness of the exact as well as numerical solution. The paper is devoted to the non-unique behavior of gases, which has been observed in special axisymmetric nozzles at transonic flow regimes. We describe the flow by means of the...

Four typical finite volume methods, the Roe-MUSCL, Roe-Upwind, HLL-MUSCL and composite methods are implemented on unstructured triangular meshes. Two typical problems of discontinuous solutions of 2D shallow water, the 2D dam break problem and oblique hydraulic jump problem, are solved by the...