Meshless modelling of fluid flow

The thesis focuses on the Smoothed Particle Hydrodynamics (SPH) meshfree method. In the thesis, basic equations needed for solving fluid flow problems are derived - continuity equation, momentum equation and energy equation. The text presents the basic principles of the method, selection of a smoothing function, spacial discretization and a suitable time integration method. As an example of usage, the thesis models the shock tube problem. On this problem, we can compare the solution using the SPH method with the accurate solution