A conservative extension of the method of characteristics for 1-D shallow flows

DOI10.1016/j.apm.2005.11.018zbMath1151.76027OpenAlexW2087552197MaRDI QIDQ924797

Abdolmajid M. Mohammadian, M. Tajrishi, Daniel Y. Le Roux

Publication date: 19 May 2008

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2005.11.018

zbMATH Keywords

interpolation functiondam-break flowsshock modeling

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Related Items (6)

One-dimensional simulation of supercritical flow at a confluence by means of a nonlinear junction model applied with the RKDG2 method ⋮ New analytical and CWENO numerical solutions for axisymmetric horizontal flows with heat sources ⋮ Derivation of the method of characteristics for the fluid dynamic solution of flow advection along porous wall channels ⋮ Quasi-2D model for computation of supercritical free surface flow in sudden expansion ⋮ A practical implementation of high-order RKDG models for the 1D open-channel flow equations ⋮ Application of coordinate transformations in numerical simulation of tsunami runup by the large particle method

Cites Work

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• A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
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• Finite Volume Methods for Hyperbolic Problems
• A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws
• Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation

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