COMPARISON BETWEEN THE WPH AND DISPH METHODS OF PARTICLES IN SIMULATION OF SHOCK WAVES
F. A. Sapozhnikov, V. S. Rykovanov VANT. Ser.: Mat. Mod. Fiz. Proc 2023. Вып.3. С. 3454.
The paper presents theoretical grounds of the smoothed particles hydrodynamics (SPH) method with consideration of its two modifications  the WPH and DISPH methods. Results of the method applicability tests are given for the shock wave simulation problems. The following problems are considered: 1D problems, such as the Sod problem, the Noh problem, and the WoodwardColella problem, as well as the 3D Sedov blast wave problem. While comparing the WPH and DISPH methods, the L_{1} norm error and astronomical computation time are taken into account. For 3D tests, the solution asymmetry is assessed. All tests with the WPH method demonstrate a less error and a 1.5 to 2 times higher computation speed, as compared to the DISPH method. So, the conclusion of the WPH method expediency for the simulation of problems with shock waves is made. Keywords: smoothed particles hydrodynamics, SPH, MOLOKh code, shock waves, Sod problem, Noh problem, WoodwardColella problem, Sedov blast wave.
