A new insight into the consistency of the SPH interpolation formula

DOI10.1016/j.amc.2019.03.018zbMath1428.76152arXiv1608.05883OpenAlexW2507836303WikidataQ128136575 ScholiaQ128136575MaRDI QIDQ2009522

Leonardo Di G. Sigalotti, Fidel Cruz, Otto Rendón, Jaime Klapp, Carlos A. Vargas

Publication date: 29 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.05883

zbMATH Keywords

numerical integrationFourier transformserror boundsparticle methodsstability and convergence of numerical methodserror analysis and interval analysis

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Particle methods and lattice-gas methods (76M28) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items

Dispersion analysis of SPH as a way to understand its order of approximation ⋮ Smoothed particle hydrodynamics with diffusive flux for advection-diffusion equation with discontinuities ⋮ Numerical simulation of Rayleigh-Bénard convection and three-phase Rayleigh-Taylor instability using a modified MPS method ⋮ Improving stability of moving particle semi-implicit method by source terms based on time-scale correction of particle-level impulses

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