Solving One Dimensional Scalar Conservation Laws by Particle Management

DOI10.1007/978-3-540-79994-8_6zbMath1158.65339arXiv0801.1495OpenAlexW1627296934MaRDI QIDQ3601900

Yossi Farjoun, Benjamin Seibold

Publication date: 12 February 2009

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1495

zbMATH Keywords

numerical examplesconservation lawshocksmeshfreeparticle management

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (8)

An exactly conservative particle method for one dimensional scalar conservation laws ⋮ Identification of the friction function in a semilinear system for gas transport through a network ⋮ A fully Lagrangian meshfree framework for PDEs on evolving surfaces ⋮ Consequences of Uncertain Friction for the Transport of Natural Gas through Passive Networks of Pipelines ⋮ An exact particle method for scalar conservation laws and its application to stiff reaction kinetics ⋮ A rarefaction-tracking method for hyperbolic conservation laws ⋮ Optimal Boundary Control of Convention-Reaction Transport Systems with Binary Control Functions ⋮ A Characteristic Particle Method for Traffic Flow Simulations on Highway Networks

Uses Software

• CLAWPACK

Cites Work

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• A Meshfree Method For Incompressible Fluid Flows with Incorporated Surface Tension
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• The finite difference method at arbitrary irregular grids and its application in applied mechanics
• Moving-least-squares-particle hydrodynamics?I. Consistency and stability
• Finite Volume Methods for Hyperbolic Problems
• On the solution of nonlinear hyperbolic differential equations by finite differences
• Front tracking for hyperbolic conservation laws

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