Mechanisms of coupling in river flow simulation systems

Steinebach, Gerd; Rademacher, S.; Rentrop, P.; Schulz, Martin

doi:10.1016/j.cam.2003.12.008

Cited by 32 publications

(27 citation statements)

References 5 publications

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“…Initial conditions are usually some perturbation of some stationary solutions. Newton's method is used to solve the system in equation (25) combined with the Lax curves as described in the proof of Proposition 3.1 in [3]. The proof gives the boundary conditions at the internal nodes of the network at the junction.…”

Section: Numerical Simulations and Resultsmentioning

confidence: 99%

See 1 more Smart Citation

On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections

Banda

Herty

Ngnotchouye

2015

Journal of Computational and Applied Mathematics

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Abstract. In this paper a general drift-flux model describing a subsonic and isentropic multi-phase fluid in connected pipes is considered. Each phase is assumed to be isentropic with its own sonic speed. The components are gamma-law gases with γ > 1. For such the computational challenge at a junction is the computation of rarefaction waves which do not have a readily available analytical form. Firstly, the well-posedness of the Riemann problem at the junction is discussed. It is suggested that rarefaction waves should be linearized inorder to obtain a more efficient numerical method for coupling such multi-component flow. Some computational results on the dynamics of the multi-phase gas in the pipes demonstrate the qualitative behaviour of this approach.

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Section: Numerical Simulations and Resultsmentioning

confidence: 99%

“…The interested reader may refer to [1,2,6,7,12] for the case of gas networks, to [21,25] for water networks and [19,24] for traffic networks. These models consider single phase flow.…”

Section: Introductionmentioning

confidence: 99%

On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections

Banda

Herty

Ngnotchouye

2015

Journal of Computational and Applied Mathematics

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“…Test 2 concerns a steady-state flow (in a non-constant topography) involving incoming and outgoing lateral fluxes. The 1D solver is the HLL scheme, see (15), while the 2D solver is the corresponding HLLC scheme, see (16). These solvers are implemented into our software DassFlow [11,10].…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Then, the classical approach is to decompose the domain, re-define the mesh, then couple the 1D model (in the non-flooded areas) with 2D models (in flooded areas) at interfaces, see e.g. [15,13]. Coupling conditions have to be imposed at interfaces only.…”

Section: Introductionmentioning

confidence: 99%

Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes

Fernández-Nieto¹,

Marin²,

Monnier³

2010

Computers & Fluids

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We study the superposition of 1D and 2D shallow-water equations with non-flat topographies, in the context of river -flood modeling. Since we superpose both models in the bi-dimensional areas, we focus on the definition of the coupling term required in the 1D equations. Using explicit finite volume schemes, we propose a definition of the discrete coupling term leading to schemes globally well-balanced (the global scheme preserves water at rest whatever if overflowing or not). For both equations (1D and 2D), we can consider independent finite volume schemes based on well-balanced Roe, HLL, Rusanov or other scheme, then the resulting global scheme remains well-balanced. We perform a few numerical tests showing on the one hand the well-balanced property of the resulting global numerical model, on the other hand the accuracy and robutness of our superposition approach. Therefore, the definition of the coupling term we present allows to superpose a local 2D model over a 1D main channel model, with non-flat topographies and mix incoming-outgoing lateral fluxes, using independent grids and finite volume solvers.

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“…ER = engineering regulation. Roo, 2010;Steinebach, 1999;Steinebach et al, 2004;Nujic, 1995;Neubert, Naumann, and Deilmann, 2009. Motivation for development • Target users are local water managers.…”

Section: Input Data Requirementsmentioning

confidence: 99%

Landscape Survey to Support Flood Apex National Flood Decision Support Toolbox: Definitions and Existing Tools

Strong¹,

Knopman²

2017

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Mechanisms of coupling in river flow simulation systems

Cited by 32 publications

References 5 publications

On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections

On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections

Coupling superposed 1D and 2D shallow-water models: Source terms in finite volume schemes

Landscape Survey to Support Flood Apex National Flood Decision Support Toolbox: Definitions and Existing Tools

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