A Shallow Water Intercomparison of Wave Models on Lake Erie

2002 ◽  
Author(s):  
Roop Lalbeharry ◽  
Weimin Luo ◽  
Laurie Wilson
Keyword(s):  
Shallow Water ◽  
Lake Erie ◽  
Wave Models

Shallow Water Intercomparison of Wave Models — Part III

1985 ◽  
pp. 215-220
Author(s):  
E. Bouws ◽  
J. J. Ephraums ◽  
J. A. Ewing ◽  
P. E. Francis ◽  
H. Gunther ◽  
...  
Keyword(s):  
Shallow Water ◽  
Wave Models

Completing the Study of Traveling Wave Solutions for Three Two-Component Shallow Water Wave Models

2020 ◽  
Vol 30 (03) ◽  
pp. 2050036 ◽  
Author(s):  
Jibin Li ◽  
Guanrong Chen ◽  
Jie Song
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Traveling Wave ◽  
Water Wave ◽  
Wave System ◽  
Solitary Wave Solutions ◽  
Shallow Water Wave ◽  
Wave Solutions ◽  
Two Component ◽  
Wave Models

For three two-component shallow water wave models, from the approach of dynamical systems and the singular traveling wave theory developed in [Li & Chen, 2007], under different parameter conditions, all possible bounded solutions (solitary wave solutions, pseudo-peakons, periodic peakons, as well as smooth periodic wave solutions) are derived. More than 19 explicit exact parametric representations are obtained. Of more interest is that, for the integrable two-component generalization of the Camassa–Holm equation, it is found that its [Formula: see text]-traveling wave system has a family of pseudo-peakon wave solutions. In addition, its [Formula: see text]-traveling wave system has two families of uncountably infinitely many solitary wave solutions. The new results complete a recent study by Dutykh and Ionescu-Kruse [2016].

Exact Solitary-wave Solutions for the General Fifth-order Shallow Water-wave Models

1999 ◽  
Vol 54 (3-4) ◽  
pp. 272-274
Author(s):  
Woo-Pyo Hong ◽  
Young-Dae Jung
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Symbolic Computation ◽  
Water Wave ◽  
Model Parameters ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Special Cases ◽  
Wave Models ◽  
Fifth Order

We perform a computerized symbolic computation to find some general solitonic solutions for the general fifth-order shal-low water-wave models. Applying the tanh-typed method, we have found certain new exact solitary wave solutions. The pre-viously published solutions turn out to be special cases with restricted model parameters.

scholarly journals Far-Field Characteristics of Linear Water Waves Generated by a Submerged Landslide over a Flat Seabed

2020 ◽  
Vol 8 (3) ◽  
pp. 196
Author(s):  
Haixiao Jing ◽  
Yanyan Gao ◽  
Changgen Liu ◽  
Jingming Hou
Keyword(s):  
Shallow Water ◽  
Water Depth ◽  
Water Waves ◽  
Wave Model ◽  
Linear Wave ◽  
Far Field ◽  
Constant Depth ◽  
Low Froude Number ◽  
Dispersive Model ◽  
Wave Models

Understanding the propagation of landslide-generated water waves is of great help against tsunami hazards. In order to investigate the effects of landslide shapes on the far-field leading wave generated by a submerged landslide at a constant depth, three linear wave models with different degrees of dispersive properties are employed in this study. The linear fully dispersive model is then validated by comparing the results against the experimental data available for landslides with a low Froude number. Three simplified shapes of landslides with the same volume, which are unnatural for a body of incoherent material, are used to investigate the effects of landslide shapes on the far-field properties of the generated leading wave over a flat seabed. The results show that the far-field leading crest over a constant depth is independent of the exact landslide shape and is invalid at a shallow water depth. Therefore, the most popular non-dispersive model (also called the shallow water wave model) cannot be used to reproduce the phenomenon. The weakly dispersive wave model can predict this phenomenon well. If only the leading wave is considered, this model is accurate up to at least μ = h0/Lc = 0.6, where h0 is the water depth and Lc denotes the characteristic length of the landslide.

Surficial Sediments of Lake Erie

1976 ◽  
Vol 33 (3) ◽  
pp. 385-403 ◽  
Author(s):  
R. L. Thomas ◽  
J.-M. Jaquet ◽  
A. L. W. Kemp ◽  
C. F. M. Lewis
Keyword(s):  
Grain Size ◽  
Shallow Water ◽  
Lake Erie ◽  
Central Basin ◽  
Sediment Accretion ◽  
Western Basin ◽  
Grab Sampling ◽  
Fine Grained ◽  
Basin Region ◽  
Skewness And Kurtosis

On the basis of extensive echosounding and grab sampling, three major units have been recognized in Lake Erie: till and bedrock, glaciolacustrine clay, and postglacial muds. These units represent the late glacial and postglacial evolution of the basin and occur in an offshore younging sequence. The main basin of the lake is subdivided by residual glacial moraines into four depositional basins: Western, Sandusky, Central, and Eastern basins. The sediment texture has been defined by moment measures (mean, standard deviation, skewness, and kurtosis), the trends of which are related to the mixing of two primary grain-size populations in the sand- and clay-size ranges. A third grain-size mode in the silt size, composed of fine quartz with some carbonate, has been recognized. This mode has a modifying effect on the symmetry of the two primary populations and may, to some extent, be sufficiently abundant to behave as a discrete population. The trends in the textural characteristics, particularly skewness and kurtosis, have been utilized to define energy regimes at the sediment–water interface which indicates three distinct sedimentary or hydraulic regions: 1) Western basin region — Fine-grained sediment accretion in shallow water related to an imbalance in sediment budget, with high input loadings of fine-grained sediment, and deficit in coarse materials, with an excess of input over sediment export to the Central basin region. This results in net sediment accretion in shallow water with texture in disequilibrium with environmental energy, which produces mixing and suspension, followed by redeposition; 2) Central basin region — West to East coarsening of sediment in textural equilibrium with hydraulic energy, as it relates to increasing fetch under westerly and southwesterly prevailing winds; 3) Eastern basin region — Deepwater basin with sediments showing decreasing size offshore with increasing water depth. The deepwater sediment is modified by the influx of substantial quantities of the silt-size material derived from shoreline erosion in the north shore of the Central basin region.The interrelationships of parameters indicate textural dependence on mineralogic composition, particularly important being the relationship of clay concentration to mean grain size. This has particular value in modelling the physical behavior of clay-associated geochemical elements such as phosphorus.

scholarly journals Matching of coastal and open ocean wave models in a Mesoscale application over Lake Erie

2009 ◽  
Vol 47 (3) ◽  
pp. 184-203 ◽  
Author(s):  
Roop Lalbeharry ◽  
Arno Behrens ◽  
Heinz Guenther ◽  
Laurence Wilson
Keyword(s):  
Lake Erie ◽  
Open Ocean ◽  
Ocean Wave ◽  
Wave Models

Development of macroinvertebrate community structure associated with zebra mussel (Dreissena polymorpha) colonization of artificial substrates

1995 ◽  
Vol 73 (8) ◽  
pp. 1438-1443 ◽  
Author(s):  
Patricia A. Wisenden ◽  
Robert C. Bailey
Keyword(s):  
Community Structure ◽  
Shallow Water ◽  
Food Supply ◽  
Zebra Mussel ◽  
Dreissena Polymorpha ◽  
Lake Erie ◽  
Zebra Mussels ◽  
Artificial Substrates ◽  
Macroinvertebrate Communities ◽  
Protected Site

We used artificial substrates (rocks < 1500 cm2 surface area) in shallow water (2 m) to assess the development of epilithic macroinvertebrate communities in the presence of zebra mussels. At a turbulent site (Wheatley, Lake Erie), previously colonized (with a non-zebra mussel community) and uncolonized rocks left for 1 year both had lower densities of total invertebrates than previously colonized rocks recovered after only 1 day. As zebra mussels colonized the rocks, Gammarus sp. (amphipods) increased in density, while Chironomini and Tanypodinae (midges), Polycentropus sp. (caddisflies), and Physella sp. and Pleurocera sp. (snails) declined. At a protected site (Stoney Point, Lake St. Clair), previously colonized rocks initially (2 months) had higher densities of many taxa, including zebra mussels, than uncolonized rocks. This difference disappeared after 1 year, as zebra mussels increased on all rocks. Gammarus sp. maintained its numbers, while Tricladida (flatworms) increased and Oecetis sp. (caddisflies), Physella sp., Pleurocera sp., and Tanypodinae declined. Although a similar "zebra mussel – amphipod" community developed on rocks at both sites, we hypothesize that at the turbulent site, zebra mussels and amphipods have a shared tolerance of unstable habitats, and zebra mussels facilitate amphipod colonization of rocks by increasing microhabitat stability and food supply. At the protected site, zebra mussels outcompete other surface dwellers like snails for space, and facilitate the colonization of scavenger–omnivores like amphipods and flatworms.

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