A Simple Finite-Volume Method on a Cartesian Mesh for Pedestrian Flows with Obstacles

DOI10.1007/978-3-319-57397-7_4zbMath1391.76393OpenAlexW2619126865MaRDI QIDQ5355115

Alexander Kurganov, Yuanzhen Cheng, Alina E. Chertock

Publication date: 6 September 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57397-7_4

zbMATH Keywords

hyperbolic conservation lawseikonal equationfast sweeping methodfinite-volume methodinterface tracking methodpedestrian flow model

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99) Hamilton-Jacobi equations (35F21) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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