Meshless method for conservation laws

DOI10.1016/S0378-4754(00)00285-8zbMath0982.65102OpenAlexW2041837717MaRDI QIDQ5937540

Nathalie Lanson, Jean-Paul Vila

Publication date: 12 July 2001

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(00)00285-8

zbMATH Keywords

convergenceconservation lawsEuler equationsrenormalizationmethod of characteristicsmeshless methodssmooth particle hydrodynamics

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Related Items

Propagation of gravity waves through an SPH scheme with numerical diffusive terms ⋮ Numerical simulation of interfacial flows by smoothed particle hydrodynamics ⋮ The meshless direct simulation Monte Carlo method

Cites Work

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• Shock simulation by the particle method SPH
• Smoothed particle hydrodynamics: Some recent improvements and applications
• Riemann Solvers, the Entropy Condition, and Difference
• ON PARTICLE WEIGHTED METHODS AND SMOOTH PARTICLE HYDRODYNAMICS
• Numerical Viscosity and Convergence of Finite Volume Methods for Conservation Laws with Boundary Conditions
• The Equations of Motion of Particles in Smoothed Particle Hydrodynamics