COMPARISON BETWEEN WPH AND DISPH METHODS OF PARTICLES IN SIMULATION OF INSTABILITIES
F. A. Sapozhnikov, V. S. Rykovanov
VANT. Ser.: Mat. Mod. Fiz. Proc 2023. Вып.4. С. 17-33.
Two methods of particles - the WPH and DISPH methods - are compared on the problems with instability generation and growth. To find errors induced by the methods, test problems having exact solutions are solved. The "Cube transport" test is used to simulate the static balance and the "Gresho-Chan vortex" test is used to simulate the dynamic balance. The Rayleigh-Taylor instability is simulated for the 3D α-Group problem and an extended problem, the growth rate coefficient of bubbles is calculated. The Kelvin-Helmholtz instability with single-mode and multimode disturbances is simulated for 2D and 3D problems. The growth rate coefficient of the mixing zone is calculated. To simulate the Richtmayer-Meshkov instability, the "Inverse chevron" problem has been selected, for which experimental results are available. In all test problems simulated with the WPH method we obtained a less error and observed a higher computation speed, as compared to the DISPH method. So, the conclusion is made that is reasonable to use the WPH method for the simulation of problems requiring the instability growth to be described. Keywords: hydrodynamics of smoothed particles, the SPH method, hydrodynamics of weighted particles, the WPH method, the Molokh code, Gresho-Chan vortex, the Rayleigh-Taylor instability, the Kelvin-Helmholtz instability, the Richtmayer-Meshkov instability.
|
English
