SIMULATION OF COMPRESSIBLE AND INCOMPRESSIBLE FLOWS BY MESHLESS METHODS OF SMOOTHED PARTICLE HYDRODYNAMICS

At present, when solving problems of hydrodynamics of viscous incompressible and compressible flows in conditions of complex geometry with moving elements, preference is often given to meshless numerical algorithms based on the Smoothed Particle Hydrodynamics (SPH). We have developed our own parallel SPH algorithm that uses graphic processors to solve various problems with very narrow slits, rotating and contacting disks, free surfaces, etc., which are difficult to attack by conventional mesh-based (e. g., finite volume (FV)) methods. To check the algorithm, we solved the problems: (i) on the steady-state temperature distribution inside the cylinder head of a piston engine; (ii) on the torque of a gear box with rotating gearwheels partially immersed in engine oil; and (iii) on the steady-state gas velocity field during purging of the piston engine cylinder with air.