CHATELAIN, PHILIPPE COTTET, GEORGES-HENRI KOUMOUTSAKOS, PETROS 2011 <jats:p> We present a particle method for the simulation of three dimensional compressible hydrodynamics based on a hybrid Particle-Mesh discretization of the governing equations. The method is rooted on the regularization of particle locations as in remeshed Smoothed Particle Hydrodynamics (rSPH). </jats:p><jats:p> The rSPH method was recently introduced to remedy problems associated with the distortion of computational elements in SPH, by periodically re-initializing the particle positions and by using high order interpolation kernels. </jats:p><jats:p> In the PMH formulation, the particles solely handle the convective part of the compressible Euler equations. The particle quantities are then interpolated onto a mesh, where the pressure terms are computed. PMH, like SPH, is free of the convection CFL condition while at the same time it is more efficient as derivatives are computed on a mesh rather than particle-particle interactions. PMH does not detract from the adaptive character of SPH and allows for control of its accuracy. We present simulations of a benchmark astrophysics problem demonstrating the capabilities of this approach. </jats:p> application/pdf https://sonar.ch/global/documents/276903 eng info:eu-repo/semantics/altIdentifier/doi/10.1142/s0129183107010851 info:eu-repo/semantics/altIdentifier/issn/0129-1831 info:eu-repo/semantics/openAccess International Journal of Modern Physics C. - World Scientific Pub Co Pte Lt. - 2007, vol. 18, no. 04, p. 610-618 Mathematical Physics Computational Theory and Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Computer Science Applications PARTICLE MESH HYDRODYNAMICS FOR ASTROPHYSICS SIMULATIONS http://purl.org/coar/resource_type/c_6501