2002/06/01 by Shu-ichiro Inutsuka, Shu‐ichiro Inutsuka · 5 citations
Engineering · Mathematics · Physics and Astronomy · #Action (physics) #Applied mathematics #Classical mechanics #Computational Fluid Dynamics and Aerodynamics #Equations of motion #Fluid Dynamics Simulations and Interactions #Lattice Boltzmann Simulation Studies #Mathematical analysis #Mathematical optimization #Mathematics #Mechanics #Physics #Riemann hypothesis #Riemann problem #Riemann solver #Smoothed-particle hydrodynamics #Smoothing #Solver #astro-ph
paper · pdf · doi:10.1006/jcph.2002.7053
published as Journal of Computational Physics, Volume 179, pp.238-267, 2002 · 30 pages, 13 figures
openalex publication_date 2002/06/01 · arxiv created 2002/06/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Smoothed Particle Hydrodynamics is reformulated in terms of the convolution of the original hydrodynamics equations, and the new evolution equations for the particles are derived. The same evolution equation of motion is also derived using a new action principle. The force acting on each particle is determined by solving the Riemann problem. The use of the Riemann Solver strengthens the method, making it accurate for the study of phenomena with strong shocks. The prescription for the variable smoothing length is shown. These techniques are implemented in strict conservation form. The results of a few test problems are also shown.