Analytical and numerical Riemann solutions of the Saint Venant equations for forward- and backward-facing step flows

DOI10.1134/S0965542514010047zbMath1313.76086OpenAlexW2054512044MaRDI QIDQ2940361

O. V. Bulatov

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542514010047

zbMATH Keywords

Riemann problemquasi-hydrodynamic equationsSaint Venant equationsquasi-gas dynamic equationsregularized shallow water equations.

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15)

Related Items (5)

The exact Riemann solver for the shallow water equations with a discontinuous bottom ⋮ Regularized shallow water equations for numerical simulation of flows with a moving shoreline ⋮ Regularized equations for numerical simulation of flows in the two-layer shallow water approximation ⋮ On a Conservative Finite-Difference Method for 1D Shallow Water Flows Based on Regularized Equations ⋮ The uniqueness of the exact solution of the Riemann problem for the shallow water equations with discontinuous bottom

Uses Software

• QHDFoam

Cites Work

• Regularized shallow water equations and a new method of numerical simulation of the open channel flows
• Numerical simulation of fluid oscillations in fuel tanks
• Regularized shallow water equations and an efficient method for numerical simulation of shallow water flows
• Exact solutions to the Riemann problem of the shallow water equations with a bottom step
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