On a Conservative Finite-Difference Method for 1D Shallow Water Flows Based on Regularized Equations

DOI10.1007/978-3-319-40157-7_1zbMath1356.76213OpenAlexW2555384174MaRDI QIDQ2961413

Vladimir Gavrilin, Alexander Zlotnik

Publication date: 20 February 2017

Published in: Mathematical Problems in Meteorological Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-40157-7_1

zbMATH Keywords

parabolic regularization1D shallow water equationspractical error analysisdiscrete energy balance lawthree-point symmetric in space discretization

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for boundary value problems involving PDEs (65N06) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (2)

On conservative spatial discretizations of the barotropic quasi-gasdynamic system of equations with a potential body force ⋮ Conditions for \(L^2\)-dissipativity of linearized explicit difference schemes with regularization for 1D barotropic gas dynamics equations

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