A simplified and stable lattice Boltzmann shallow water model

Maquignon, Nicolas; Smaoui, Hassan; Sergent, Philippe; Bader, Bruno

doi:10.1088/1742-6596/2202/1/012055

Cited by 2 publications

(5 citation statements)

References 7 publications

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“…The Lattice Boltzmann method appears in Table 2 in only one case. This modern numerical technique still has limited application to dam-break problems [103,104]. Finite volume techniques are the most used in the reviewed papers for discretizing the governing equations in mesh-based models (Figure 3d).…”

Section: Resultsmentioning

confidence: 99%

Three-Dimensional Numerical Modelling of Real-Field Dam-Break Flows: Review and Recent Advances

Maranzoni,

Tomirotti

2023

Water

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Numerical modelling is a valuable and effective tool for predicting the dynamics of the inundation caused by the failure of a dam or dyke, thereby assisting in mapping the areas potentially subject to flooding and evaluating the associated flood hazard. This paper systematically reviews literature studies adopting three-dimensional hydrodynamic models for the simulation of large-scale dam-break flooding on irregular real-world topography. Governing equations and numerical methods are analysed, as well as recent advances in numerical techniques, modelling accuracy, and computational efficiency. The dam-break case studies used for model validation are highlighted. The advantages and limitations of the three-dimensional dam-break models are compared with those of the commonly used two-dimensional depth-averaged ones. This review mainly aims at informing researchers and modellers interested in numerical modelling of dam-break flow over real-world topography on recent advances and developments in three-dimensional hydrodynamic models so that they can better direct their future research. Practitioners can find in this review an overview of available three-dimensional codes (research, commercial, freeware, and open-source) and indications for choosing the most suitable numerical method for the application of interest.

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Section: Resultsmentioning

confidence: 99%

Three-Dimensional Numerical Modelling of Real-Field Dam-Break Flows: Review and Recent Advances

Maranzoni,

Tomirotti

2023

Water

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“…Fourthly, the two-stages simplified LBM in Ref. 46 is outlined. Eventually, our one-stage simplified scheme is described, together with the Chapman-Enskog expansion.…”

Section: Lattice Boltzmann Modelling Of Shallow Water Flowsmentioning

confidence: 99%

“…Two-stages simplified LBM in Ref. 46 Known the solution at the time t, the simplified LBM suggests to compute the macroscopic variables at t + 1 by a two-stages fractional step technique, i.e. Predictor step:…”

Section: A Macroscopic Governing Equationsmentioning

confidence: 99%

“…The SLBM algorithm is built on a fractional step technique, where the typical time step is split into two stages: predictor and corrector. In a recent effort, Maquignon et al 46 successfully presented an attempt to recover the solution of the SWEs. Interestingly, Delgado-Gutiérrez et al 47 proposed a one-stage SLBM to recover the solution of the Navier-Stokes equations, that needs to span the nodes just once per time step.…”

Section: Introductionmentioning

confidence: 99%

“…In this work, we perform a quantitative assessment and comparison of five schemes for the simulation of shallow water flows: (i) single-relaxation-time LBM 18 , (ii) raw-moments-based multiple-relaxation-time LBM, (iii) central-moments-based multiple-relaxation-time LBM 50 , (iv) SLBM 46 and (v) SSLBM. The latter is an original contribution of this work and represents an extension of the work done by Delgado-Gutiérrez et al 47 to SWEs.…”

Section: Introductionmentioning

confidence: 99%

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A comparison of lattice Boltzmann schemes for sub-critical shallow water flows

Rosis

2023

Physics of Fluids

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In this paper, we test the numerical properties of several variants of the lattice Boltzmann method (LBM) for simulating the shallow water flows. Specifically, we perform a systematic comparison of five different schemes: (i) the single-relaxation-time LBM, the (ii) raw-moments-based and (iii) central-moments-based multiple-relaxation-time LBMs, and the (iv) two-stages and (v) one-stage simplified LBMs. Concerning the latter, traditional simplified schemes require a fractional step two-stages technique. Building on the work Delgado-Gutiérrez et al. [“A single-step and simplified graphics processing unit lattice Boltzmann method for high turbulent flows,” Int. J. Numer. Methods Fluids 93, 2339–2361 (2021)], we derive a one-stage approach, where the procedure spans the grid points just once per time step. All the aforementioned LBMs are tested against five well-consolidated benchmark problems, and their numerical performance is assessed. Overall, populations-based schemes show superior accuracy and convergence properties. We link this behavior to the higher numerical dissipation introduced by the simplified models.

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A simplified and stable lattice Boltzmann shallow water model

Cited by 2 publications

References 7 publications

Three-Dimensional Numerical Modelling of Real-Field Dam-Break Flows: Review and Recent Advances

Three-Dimensional Numerical Modelling of Real-Field Dam-Break Flows: Review and Recent Advances

A comparison of lattice Boltzmann schemes for sub-critical shallow water flows

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