The convergence of the SPH method

DOI10.1016/S0898-1221(97)00260-5zbMath0906.76065MaRDI QIDQ1130369

Emmanuel Grenier, Mario Pulvirenti, Roberto Di Lisio

Publication date: 20 August 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Euler equationsLagrangian dynamicsstability propertyregularizationsgeneric polytropic fluid

Mathematics Subject Classification ID

Related Items (12)

A consistent and fast weakly compressible smoothed particle hydrodynamics with a new wall boundary condition ⋮ An improved model for compressible multiphase flows based on smoothed particle hydrodynamics with enhanced particle regeneration technique ⋮ On the convergence of the solutions to the integral SPH heat and advection-diffusion equations: theoretical analysis and numerical verification ⋮ Unnamed Item ⋮ From continuum mechanics to SPH particle systems and back: Systematic derivation and convergence ⋮ Convergence of the Hamiltonian particle-mesh method for barotropic fluid flow ⋮ Numerical simulation of 2D-vorticity dynamics using particle methods ⋮ A new insight into the consistency of the SPH interpolation formula ⋮ Gridless simulations of splashing processes and near-shore bore propagation ⋮ Convergence of the Smoothed Particle Hydrodynamics Method for a Specific Barotropic Fluid Flow: Constructive Kernel Theory ⋮ An Improved Convergence Result for the Smoothed Particle Hydrodynamics Method ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On the connection between Hamiltonian many-particle systems and the hydrodynamical equations
• Mathematical theory of incompressible nonviscous fluids
• A particle method for a self‐gravitating fluid: A convergence result
• Prescribing a System of Random Variables by Conditional Distributions

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