Solving Hyperbolic Equations with Finite Volume Methods

DOI10.1007/978-3-319-14784-0zbMath1319.65086OpenAlexW2490219544MaRDI QIDQ5249698

María Elena Vázquez-Cendón

Publication date: 11 May 2015

Published in: UNITEXT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-14784-0

zbMATH Keywords

convergenceweak solutionconsistencyCauchy problementropy solutiontextbookfinite volume methodsfinite differencesRiemann problemhyperbolic conservation lawsclassical solutionupwind schemeapproximate Riemann solverLax-Friedrichs schemelinear transport equationinviscid Burgers equationGodunov's methodshallow water systemconsistent schemeconservation schemeflux-splitting techniqueEleuterio Francisco ToroMatlab/Octave codePeter LaxSergei Konstantinovich Godunovvon Neumann's stability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Initial value problems for first-order hyperbolic systems (35L45) First-order hyperbolic systems (35L40) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows ⋮ Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations ⋮ A projection hybrid high order finite volume/finite element method for incompressible turbulent flows ⋮ On well-posedness of a mathematical model for cerebrospinal fluid in the optic nerve sheath and the spinal subarachnoid space ⋮ Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form

Uses Software

• Matlab
• Octave

This page was built for publication: Solving Hyperbolic Equations with Finite Volume Methods