Accurate numerical modeling of 1D flow in channels with arbitrary shape. Application of the energy balanced property
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Publication:348781
DOI10.1016/j.jcp.2013.12.040zbMath1349.76032OpenAlexW2043146119MaRDI QIDQ348781
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2013.12.040
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items (17)
A steady-state-preserving scheme for shallow water flows in channels ⋮ Asymptotically and exactly energy balanced augmented flux-ADER schemes with application to hyperbolic conservation laws with geometric source terms ⋮ A Roe type energy balanced solver for 1D arterial blood flow and transport ⋮ Energy balanced numerical schemes with very high order. The augmented Roe flux ADER scheme. Application to the shallow water equations ⋮ Overcoming numerical shockwave anomalies using energy balanced numerical schemes. Application to the shallow water equations with discontinuous topography ⋮ Well-balanced energy-stable residual distribution methods for the shallow water equations with varying bottom topography ⋮ Formulation of exactly balanced solvers for blood flow in elastic vessels and their application to collapsed states ⋮ Moving water equilibria preserving nonstaggered central scheme for open‐channel flows ⋮ A 1D numerical model for the simulation of unsteady and highly erosive flows in rivers ⋮ Very high order well-balanced schemes for non-prismatic one-dimensional channels with arbitrary shape ⋮ 2D well-balanced augmented ADER schemes for the shallow water equations with bed elevation and extension to the rotating frame ⋮ High order well-balanced finite difference WENO schemes for shallow water flows along channels with irregular geometry ⋮ High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry ⋮ Efficiency and accuracy of lateralized HLL, HLLS and augmented Roe's scheme with energy balance for river flows in irregular channels ⋮ Discretization of the divergence formulation of the bed slope term in the shallow-water equations and consequences in terms of energy balance ⋮ Numerical Simulating Open-Channel Flows with Regular and Irregular Cross-Section Shapes Based on Finite Volume Godunov-Type Scheme ⋮ Extension of a Roe-type Riemann solver scheme to model non-hydrostatic pressure shallow flows
Uses Software
Cites Work
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