A two-dimensional finite element drying-wetting shallow water model for rivers and estuaries

Heniche, Mourad; Secretan, Yves; Boudreau, Paul; Leclerc, Michel

doi:10.1016/s0309-1708(99)00031-7

Cited by 134 publications

(126 citation statements)

References 11 publications

Supporting

Mentioning

117

Contrasting

Unclassified

Order By: Relevance

“…One sees at 12 t  min a significant acceleration of the flow near the point 100 x  m, which is due to rapid changes in the bathymetry and very shallow conditions around the point. It is evident that the results with the simple RPL method are quite similar to the ones presented in [2,4,5]. Basin with variable slope: numerical simulation results for velocity and elevation using the RPL wetting and drying method compared to the capillarity results of [4].…”

Section: Case 1: Standard Test In a Simple Geometry Basin With Variabsupporting

confidence: 66%

“…The complete equations can be seen in [17]. As is well known, the shallow water equations are derived from the incompressible Navier-Stokes equations by assuming that the pressure is in hydrostatic balance, and by averaging the equations along the vertical direction [2]. For the purposes of this paper, the shallow water equations can be written as follows, using the conventional indicial notation, with i, j = 1, 2:…”

Section: Governing Equationsmentioning

confidence: 99%

“…inclusion and exclusion of cells, are either far from smooth or too expensive for practical engineering purposes. In the last decades a variety of approaches have been proposed to represent wetting and drying processes in finite volume, finite differences and finite element numerical methods for shallow water flows [2,3,5,[8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A simple wetting and drying method for shallow water flow with application in the Vitória Bay estuary, Brazil

Barros¹,

Rosman²,

Telles³

et al. 2011

WIT Transactions on Ecology and the Environment

View full text Add to dashboard Cite

This paper presents a simple and effective method to model wetting and drying processes in natural water bodies. The proposed method has been nicknamed "rough-porous layer", or RPL. It bears similarities with the so called marsh porosity method, but is simpler to implement, mass conserving and does not affect wave celerity in wet areas. The method can be easily implemented in finite element models, what makes it useful in numerical modeling of natural water bodies with intricate topographies. A standard testing case of a basin with variable slope is used for validations and comparison with other methods. The effectiveness of the RPL is better evaluated in modeling the complex Vitória Bay estuary (Brazil) with its extensive mangrove areas.

show abstract

Section: Case 1: Standard Test In a Simple Geometry Basin With Variabsupporting

confidence: 66%

Section: Governing Equationsmentioning

confidence: 99%

See 1 more Smart Citation

A simple wetting and drying method for shallow water flow with application in the Vitória Bay estuary, Brazil

Barros¹,

Rosman²,

Telles³

et al. 2011

WIT Transactions on Ecology and the Environment

View full text Add to dashboard Cite

show abstract

“…These models are also called Saint Venant models. The conditions to be filled so that they provide good results are (Heniche et al, 2000):…”

Section: Hydrodynamic Modelmentioning

confidence: 99%

A water flow pattern analysis of Guajará Bay: Amazon Estuary - Brazil

Barros¹,

Sena²,

Mesquita³

et al. 2011

J. Braz. Soc. Mech. Sci. & Eng.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Walters and Werner (1989); Werner (1995); Walters (2005); Fortunato et al (1997Fortunato et al ( , 1999; Heniche et al (2000); Ip et al (1998); Jones and Davies (2006)). In these models the element size could be varied from coarse offshore to fine in nearshore regions.…”

Section: Introductionmentioning

confidence: 99%

A three-dimensional finite-element model of wind effects upon higher harmonics of the internal tide

Hall

Davies

2007

Ocean Dynamics

View full text Add to dashboard Cite

A non-linear three dimensional unstructured grid model of the M2 tide in the shelf edge area off the west coast of Scotland is used to examine the spatial distribution of the M2 internal tide and its higher harmonics in the region. In addition the spatial variability of the tidally induced turbulent kinetic energy and associated mixing in the area are considered. Initial calculations involve only tidal forcing, although subsequent calculations are performed with up-welling and down-welling favourable winds in order to examine how these influence the tidal distribution (particularly the higher harmonics) and mixing in the region. Both short and long duration winds are used in these calculations. Tidal calculations show that there is significant small scale spatial variability particularly in the higher harmonics of the internal tide in the region. In addition turbulence energy and mixing exhibit appreciable spatial variability in regions of rapidly changing topography, with increased mixing occurring above seamounts. Wind effects significantly change the distribution of the M2 internal tide and its higher harmonics, with appreciable differences found between up-and down-welling winds, and long and short duration winds due to differences in mixing and the presence of wind induced flows. The implications for model validation, particularly in terms of energy transfer to higher harmonics, and mixing are briefly discussed.

show abstract

A two-dimensional finite element drying-wetting shallow water model for rivers and estuaries

Cited by 134 publications

References 11 publications

A simple wetting and drying method for shallow water flow with application in the Vitória Bay estuary, Brazil

A simple wetting and drying method for shallow water flow with application in the Vitória Bay estuary, Brazil

A water flow pattern analysis of Guajará Bay: Amazon Estuary - Brazil

A three-dimensional finite-element model of wind effects upon higher harmonics of the internal tide

Contact Info

Product

Resources

About