Development of Two-Dimensional Non-Hydrostatic Wave Model Based on Central-Upwind Scheme

In this study, a two-dimensional depth-integrated non-hydrostatic wave model is developed. The model solves the governing equations with hydrostatic and non-hydrostatic pressure separately. The velocities under hydrostatic pressure conditions are firstly obtained and then modified using the biconjugate gradient stabilized method. The hydrostatic front approximation (HFA) method is used to deal with the wave breaking issue, and after the wave breaks, the non-hydrostatic model is transformed into the hydrostatic shallow water model, where the non-hydrostatic pressure and vertical velocity are set to zero. Several analytical solutions and laboratory experiments are used to verify the accuracy and robustness of the developed model. In general, the numerical simulations are in good agreement with the theoretical or experimental results, which indicates that the model is able to simulate large-scale wave motions in practical engineering applications.

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Modelling Weirs in Two-Dimensional Shallow Water Models

Water ◽

10.3390/w13162152 ◽

2021 ◽

Vol 13 (16) ◽

pp. 2152

Author(s):

Gonzalo García-Alén ◽

Olalla García-Fonte ◽

Luis Cea ◽

Luís Pena ◽

Jerónimo Puertas

Keyword(s):

Experimental Data ◽

Shallow Water ◽

Shallow Water Equations ◽

Water Model ◽

Two Dimensional ◽

Shallow Water Model ◽

Experimental Dataset ◽

River Hydraulics ◽

Shallow Water Models ◽

Water Models

2D models based on the shallow water equations are widely used in river hydraulics. However, these models can present deficiencies in those cases in which their intrinsic hypotheses are not fulfilled. One of these cases is in the presence of weirs. In this work we present an experimental dataset including 194 experiments in nine different weirs. The experimental data are compared to the numerical results obtained with a 2D shallow water model in order to quantify the discrepancies that exist due to the non-fulfillment of the hydrostatic pressure hypotheses. The experimental dataset presented can be used for the validation of other modelling approaches.

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Numerical modelling of fluid flows in the framework of a two-dimensional shallow-water model with the use of adaptive grids

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1997.12.2.95 ◽

1997 ◽

Vol 12 (2) ◽

Cited By ~ 1

Author(s):

V. B. BARAKHNIN ◽

G. S. KHAKIMZYANOV

Keyword(s):

Numerical Modelling ◽

Shallow Water ◽

Fluid Flows ◽

Water Model ◽

Two Dimensional ◽

Adaptive Grids ◽

Shallow Water Model

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Improved moist-convective rotating shallow water model and its application to instabilities of hurricane-like vortices

10.31219/osf.io/nfhkz ◽

2018 ◽

Author(s):

LMD

Keyword(s):

Tropical Cyclone ◽

Shallow Water ◽

Water Vapour ◽

Large Scale ◽

Precipitable Water ◽

Water Model ◽

Moist Convection ◽

Shallow Water Model ◽

Atmospheric Motions ◽

Rotating Shallow Water

We show how the two-layer moist-convective rotating shallow water model (mcRSW), which proved to be a simple and robust tool for studying effects of moist convection on large-scale atmospheric motions, can be improved by including, in addition to the water vapour, precipitable water, and the effects of vaporisation, entrainment, and precipitation. Thus improved mcRSW becomes cloud-resolving. It is applied, as an illustration, to model the development of instabilities of tropical cyclone-like vortices.

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SW2D-GPU: A two-dimensional shallow water model accelerated by GPGPU

Environmental Modelling & Software ◽

10.1016/j.envsoft.2021.105205 ◽

2021 ◽

pp. 105205

Author(s):

Tomas Carlotto ◽

Pedro Luiz Borges Chaffe ◽

Camyla Innocente dos Santos ◽

Seungsoo Lee

Keyword(s):

Shallow Water ◽

Water Model ◽

Two Dimensional ◽

Shallow Water Model

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Overland flow computations in urban and industrial catchments from direct precipitation data using a two-dimensional shallow water model

Water Science & Technology ◽

10.2166/wst.2010.746 ◽

2010 ◽

Vol 62 (9) ◽

pp. 1998-2008 ◽

Cited By ~ 14

Author(s):

L. Cea ◽

M. Garrido ◽

J. Puertas ◽

A. Jácome ◽

H. Del Río ◽

...

Keyword(s):

Shallow Water ◽

Surface Runoff ◽

Experimental Validation ◽

Water Model ◽

Storm Event ◽

Precipitation Data ◽

Two Dimensional ◽

Shallow Water Model ◽

Sewer Network ◽

Direct Precipitation

This paper presents the experimental validation and the application to a real industrial catchment of a two-dimensional depth-averaged shallow water model used for the computation of rainfall-runoff transformation from direct precipitation data. Instead of using the common approach in flood inundation modelling, which consists in computing the water depth and velocity fields given the water discharge, in this study the rainfall intensity is imposed directly in the model, the surface runoff being generated automatically. The model considers infiltration losses simultaneously with flow simulation. Gullies are also included in the model, although the coupling between the surface runoff and the sewer network is not considered. Experimental validation of the model is presented in several simplified laboratory configurations of urban catchments, in which the surface runoff has been measured for different hyetographs. The application to a real industrial catchment includes a sewer network flow component, which is solved with the SWMM model. The numerical predictions of the discharge hydrograph generated by a 12 hours storm event are compared with field measurements, providing encouraging results.

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Forcing for a Cascaded Lattice Boltzmann Shallow Water Model

Water ◽

10.3390/w12020439 ◽

2020 ◽

Vol 12 (2) ◽

pp. 439 ◽

Cited By ~ 2

Author(s):

Sara Venturi ◽

Silvia Di Francesco ◽

Martin Geier ◽

Piergiorgio Manciola

Keyword(s):

Shallow Water ◽

Lattice Boltzmann ◽

Model Performance ◽

Lattice Boltzmann Model ◽

Water Model ◽

Two Dimensional ◽

Shallow Water Model ◽

Basic Scheme ◽

Order Scheme ◽

Boltzmann Model

This work compares three forcing schemes for a recently introduced cascaded lattice Boltzmann shallow water model: a basic scheme, a second-order scheme, and a centred scheme. Although the force is applied in the streaming step of the lattice Boltzmann model, the acceleration is also considered in the transformation to central moments. The model performance is tested for one and two dimensional benchmarks.

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