Numerical Simulating Open-Channel Flows with Regular and Irregular Cross-Section Shapes Based on Finite Volume Godunov-Type Scheme

DOI10.1142/S0219876220500474OpenAlexW3048428463MaRDI QIDQ3383901

Kefeng Li, Fengpeng Bai, Xiaokang Xin

Publication date: 16 December 2021

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876220500474

zbMATH Keywords

Saint-Venant equationsfinite-volume methodcross-section shapesnumerical integral algorithms

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (1)

High-Order Godunov-Type Scheme for Conservation Laws with Discontinuous Flux Function in Space

Cites Work

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• Accurate numerical modeling of 1D flow in channels with arbitrary shape. Application of the energy balanced property
• Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
• Upwind methods for hyperbolic conservation laws with source terms
• Efficiency and accuracy of lateralized HLL, HLLS and augmented Roe's scheme with energy balance for river flows in irregular channels
• Improving simple explicit methods for unsteady open channel and river flow
• Flux difference splitting for 1D open channel flow equations
• Simulation of dam- and dyke-break hydrodynamics on dynamically adaptive quadtree grids
• The surface gradient method for the treatment of source terms in the shallow-water equations

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