Forcing for a Cascaded Lattice Boltzmann Shallow Water Model

Venturi, Sara; Francesco, Silvia Di; Geier, Martin; Manciola, Piergiorgio

doi:10.3390/w12020439

Cited by 6 publications

(9 citation statements)

References 31 publications

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“…Recently, numerical approaches using computational fluid dynamics (CFD) were also successfully validated to simulate complex hydraulic phenomena [26,[38][39][40][41][42][43]. It is compulsory to quantify uncertainty for a given confidence level, experimental validation, and uncertainty analysis for engineers [44,45].…”

Section: Verification Of Numerical Model and Laboratory Resultsmentioning

confidence: 99%

On the Effect of Block Roughness in Ogee Spillways with Flip Buckets

Daneshfaraz

Ghaderi

Akhtari

et al. 2020

Fluids

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In this study, the effect of the presence of bed-block roughness in an ogee spillway on energy dissipation and jet length is investigated. A series of experimental and numerical tests were conducted using an ogee spillway with block roughness on the bed without a flip bucket and with a flip bucket at different take-off angles (32 °C and 52 °C). To model the free-flow surface, the volume-of-fluid (VOF) method and turbulence model from RNG k–ε were used. Results indicated that the numerical model is fairly capable of simulating a free-flow surface over an ogee spillway; using block roughness on the spillway chute without a bucket, relative energy dissipation increased by 15.4% compared to that in the spillway with a smooth bed, while for the spillway with 32 °C and 52 °C buckets, it increased by 9.5%. The jet length for a spillway with a flip bucket and roughened bed decreased by 8% to 58% compared to that in a smooth bed. Lastly, the relationships for the estimation of relative energy dissipation and jet length are presented.

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Section: Verification Of Numerical Model and Laboratory Resultsmentioning

confidence: 99%

On the Effect of Block Roughness in Ogee Spillways with Flip Buckets

Daneshfaraz

Ghaderi

Akhtari

et al. 2020

Fluids

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“…In the model, the presence of the external force has been considered in the streaming step and in the transformation equations 16 that allow to pass from the PDFs to central moments (and vice versa). Transformation equations update the macroscopic properties of the flow (water height and velocity field) including the following formulas:…”

Section: Two-layered Calb-2 Modelmentioning

confidence: 99%

“…15 In addition, it maintains the invariance with respect to Galilean transformation. 13 The cascaded collision operator has already been adopted for modelling shallow water flows in the study 16 where authors, using the Taylor Green Vortex test case, have demonstrated that the operator exhibits Galilean invariance properties.…”

Section: Introductionmentioning

confidence: 99%

Development of a cascaded lattice Boltzmann model for two‐layer shallow water flows

Di Francesco,

Venturi,

Padrone

et al. 2024

Numerical Methods in Fluids

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SummaryMany environmental phenomena, such as flows in rivers or in coastal region can be characterised by means of the ‘shallow approach’. A multi‐layer scheme allows to extend it to density layered shallow water flows (e.g., gravity currents). Although a variety of models allowing numerical investigation of single and multi‐layer shallow water flows, based on continuum and particle approaches, have been widely discussed, there are still some computational aspects that need further investigation. Focusing on the Lattice Boltzmann models (LBM), available multi‐layer models generally use the standard linear collision operator (CO). In this work we adopt a multi relaxation time (MRT) cascaded collision operator to develop a two‐layered liquid Lattice‐Boltzmann model (CaLB‐2). Specifically, the model solves the shallow water equations, taking into account two separate sets of particle distribution function (PDF), one for each layer, solved separately. Layers are connected through coupling terms, defined as external forces that model the mutual actions between the two layers. The model is validated through comparisons with experimental and numerical results from test cases available in literature. First results are very promising, highlighting a good correspondence between simulation results and literature benchmarks.

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“…The lattice Boltzmann model has become an essential methodology for several simulation topics, such as gas simulations, turbulent cases, multiphase models, thermal problems... The LBM is nowadays involved in countless applications [1][2][3][4][5][6][7]. The field of shallow water equation (SWE) simulations hasn't escaped an LBM methodology, and the LBM originally designed for gas problems was firstly adapted to SWE by Zhou in [8] [9].…”

Section: Introductionmentioning

confidence: 99%

“…The field of shallow water equation (SWE) simulations hasn't escaped an LBM methodology, and the LBM originally designed for gas problems was firstly adapted to SWE by Zhou in [8] [9]. Since that time, several LBM for shallow water models were introduced and studied, and most of them if not all were based on Bhanatgar Gross Krook single relaxation time (BGK-SRT) [8] [9], raw moments multiple relaxation time MRT [6] [5], or central moments MRT (CMMRT) [4] [7]. Though a lot of improvements were proposed to achieve numerical stability and accuracy, the different models became always more complicated and always more demanding in terms of computational ressources, as memory and computational performance in floating-point operations per second (FLOPS), to be able to obtain simulation results in reasonable time.…”

Section: Introductionmentioning

confidence: 99%

A simplified and stable lattice Boltzmann shallow water model

Maquignon¹,

Smaoui²,

Sergent³

et al. 2022

J. Phys.: Conf. Ser.

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In this article, a simplified and stable (S&S) lattice Boltzmann shallow water (LBMSW) model is introduced. In past articles, several types of LBMSW models based on different collision operators were studied, such as BGK-SRT, raw moments MRT, central moments MRT, or cumulants MRT, and allowed to reach interesting performances in terms of numerical stability, accuracy and execution time. But no simplified and stable model for LBMSW have been published yet, such as those for gaseous cases. In this article, such a method is introduced for shallow water problems and numerical performances are studied. For numerical performances evaluation, dam break and circular dam break benchmarks using S&S will be presented and compared to other methods.

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Forcing for a Cascaded Lattice Boltzmann Shallow Water Model

Cited by 6 publications

References 31 publications

On the Effect of Block Roughness in Ogee Spillways with Flip Buckets

On the Effect of Block Roughness in Ogee Spillways with Flip Buckets

Development of a cascaded lattice Boltzmann model for two‐layer shallow water flows

A simplified and stable lattice Boltzmann shallow water model

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