Lagrange-Eulerian method for numerical integration of the gas dynamics equations: parallel implementation on GPUs

Abstract

We describe a new CSPH-TVD method for numerical integration of hydrodynamical equations. The method is based on combined Lagrange-Euler approaches, and it has been devoted to simulations of hydrodynamical flows in various astrophysical systems with nonhomogeneous gravitational fields and the non-steady boundary between gas and vacuum. A numerical algorithm was tested on analytical solutions for various problems, and a detailed comparison of our method with the MUSCL scheme is also presented in the paper. It is shown that the CSPH-TVD scheme has a second order of accuracy for smooth solutions (well-balanced approach) and it provides reliable solutions in the vicinity of strong shock waves and at the open gas-vacuum interfaces. We also study the effectiveness of parallel implementations of CSPH-TVD method for various NVIDIA Tesla K20/40/80, P100 graphics processors 1 .

On the assessment of the dust-air masses distribution regularity in the workshops of the reinforced concrete products’ manufacturing

“…The use of the SPH method is effective for self-consistent modeling of gas flow and dynamics of air pollutants, and this approach is common for predicting air pollutants from various anthropogenic sources at various spatial scales of the atmosphere [12]. A parallel implementation for Nvidia Tesla GPUs is described in [11]. When simulating the movement [4,5,6] of air flows, a lateral supply of supply air was organized into the working area at a velocity of 2 m / s at the outlet from the air distributor.…”