SPH truncation error in estimating a 3D function

DOI10.1016/j.compfluid.2011.01.018zbMath1271.76261OpenAlexW1976390721MaRDI QIDQ365319

Jean-Christophe Marongiu, Francis Leboeuf, Julien Leduc, Andrea Amicarelli, Joëlle Caro

Publication date: 4 September 2013

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0045793011000259

zbMATH Keywords

truncation errorSPHconsistency methodsShepard correction

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Particle methods and lattice-gas methods (76M28)

Related Items (14)

An improved incompressible SPH model for simulation of wave-structure interaction ⋮ SPH truncation error in estimating a 3D derivative ⋮ Implicit iterative particle shifting for meshless numerical schemes using kernel basis functions ⋮ SPH accuracy improvement through the combination of a quasi-Lagrangian shifting transport velocity and consistent ALE formalisms ⋮ A smoothed particle hydrodynamics model for 3D solid body transport in free surface flows ⋮ Addendum to: ``On the consistency of MPS ⋮ Truncation error estimates of approximate operators in a generalized particle method ⋮ A 3D fully Lagrangian Smoothed Particle Hydrodynamics model with both volume and surface discrete elements ⋮ An arbitrarily Lagrangian-Eulerian SPH scheme with implicit iterative particle shifting procedure ⋮ Algorithms for uniform particle initialization in domains with complex boundaries ⋮ A kernel derivative free SPH method ⋮ On the consistency of MPS ⋮ Diffusive terms for the conservation of mass equation in SPH ⋮ A truncation error estimate of the interpolant of a particle method based on the Voronoi decomposition

Cites Work

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• Hamiltonian formulation of the variable-\(h\) SPH equations
• Restoring particle consistency in smoothed particle hydrodynamics
• SPH truncation error in estimating a 3D derivative
• Truncation error in mesh-free particle methods
• The SPH equations for fluids
• Moving-least-squares-particle hydrodynamics?I. Consistency and stability
• Adaptive particle distribution for smoothed particle hydrodynamics
• Reproducing kernel particle methods

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