Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 39 for “"shallow water equations"”.
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Shallow water equations in real-time computer graphics
… in our lives — from the air we breathe to the water we drink. Therefore, their simulation in interactive virtual worlds is not only of interest to the scientific community but the entertainment industry as well. In particular, the undertaken research looked at simulating water in real-time …
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Lattice Boltzmann modeling for shallow water equations using high performance computing
… the standard Lattice Boltzmann method (LBM) for shallow water flows in order to deal with three dimensional flow fields. The shallow water and mass transport equations have wide applications in ocean, coastal, and hydraulic engineering, which can benefit from the advantages of the LBM. The LBM …
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A study of well-balanced finite volume methods and refinement indicators for the shallow water equations
This thesis studies solutions to the shallow water equations analytically and numerically. The study is separated into three parts. The first part is about well-balanced finite volume methods to solve steady and unsteady state problems. A method is said to be well-balanced if it preserves an …
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A study of well-balanced finite volume methods and refinement indicators for the shallow water equations
This thesis studies solutions to the shallow water equations analytically and numerically. The study is separated into three parts. The first part is about well-balanced finite volume methods to solve steady and unsteady state problems. A method is said to be well-balanced if it preserves an …
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Solution of fully-coupled shallow water equations and contaminant transport using a primitive variable Riemann solver and a semi-discrete SUPG method
… solution of the fully-coupled two-dimensional Shallow Water and Contaminant transport Equations with arbitrary bed topography and wetting-drying fronts. A Riemann-solver finite volume scheme, using primitive variables rather than conserved variables, and a semi-discrete Streamline Upwind …
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Entropy Stable Approximations of Nonlinear Conservation Laws and Related Fluid Equations
… dimensional Navier-Stokes and two dimensional shallow water equations. To this end, we construct a new family of second-order entropy stable difference schemes which retain the precise entropy decay of the original partial differential equations. Here we employ the entropy conservative …
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Tidal dynamics and dispersion around coastal headlands
The dynamics of shallow tidal currents and tide-induced dispersion are investigated around coastal headlands that have alongshore length scales that are comparable to or less than the tidal excursion. Depth-averaged shallow water equations forced by oscillatory flow are solved numerically for …
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Modulational instability in some shallow water wave models
… phenomenon of Stokes' periodic waves on the water surface. In this dissertation, we study this phenomenon for periodic traveling wave solutions of various shallow water wave models. We study the spectral stability or instability with respect to long wave length perturbations of small …
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Spatial and temporal variability in floodplain sedimentation during individual hydrologic events on a lowland, meandering river: Allerton Park, Monticello, Illinois
… source 2-dimensional solver of the St-Venant shallow water equations show how water inundates the floodplain during the rising limb of the largest discharge event observed. Geomorphic features such as floodplain channels, scroll bar topography, and, depressions drastically impact the routing …
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High-Fidelity Numerical Simulation of Shallow Water Waves
… in the case of far-field tsunamis, while the water depth varies from couple of kilometers, in deep ocean, to few centimeters, in the vicinity of shoreline. The large multi-scale computational domain leads to challenging and expensive numerical simulations. I present and compare the numerical …
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Some Solutions to a Lens Model With Applications to Warm-Core Eddies
… anticyclonic eddies based on nonlinear shallow water equations is developed. The model is a three-layer fluid and allows for one asymmetric mode as well as specified environmental flows. The solution scheme is a polynomial expansion of the field variables. When inserted into the …
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Numerical Perspective on Tsunami Hazards and Their Mitigation by Coastal Vegetation
… wave inundation. I address this problem by using shallow water equations and Serre-Green-Naghdi equations employed in a set of two-dimensional depth-integrated simulations. Analysis of results indicate the existence of a transition zone located between where runup is not affected at all and where …
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Refinement of a Regional Storm Surge Mesh for High-Resolution Topographic Representation of Volusia County
… model, which synthesizes vertically-integrated equations of mass and momentum into a generalized wave- continuity equation (GWCE), thereby producing solutions to shallow water equations, was used to simulate Hurricane Ian’s tidal and meteorological patterns over the domain of a refined mesh. The …
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Numerical modelling of tidal flows around headlands and islands
… standard methods to solve the two-dimensional Shallow Water Equations. The model has undergone an extensive validation and verification exercise. Comparisons of model output with field data and output from other numerical simulations presented in the literature confirms the suitability of the …
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The MEso-SCAle Particle Transport model (MESCAPT) for studying sediment dynamics during storms and tsunamis
… coupled with a hydrodynamic model based on the shallow water equations. Simulation results of a case study show good agreements with field measurements of deposits left behind by the 2004 Indian Ocean Tsunami. Idealized tsunami and storm case studies demonstrate the model's capabilities of …
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Ridge waves
… depth profile and the linearized shallow water equations are solved with the simplified topography. In the northern hemisphere the western ridge flank supports an infinite set of modes for a topographically trapped northward propagating wave and the eastern flank supports southward …
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Advances in Algorithms for Atmospheric Sciences
… applied to the incompressible Navier-Stokes equations and successfully validated against experimental data. However, it was found that key parameters in this approach have a strong impact on the solution. To better understand the role of these parameters, we consider ADR problems, which are …
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Simulation of suspended sediment and contaminant transport in shallow water using two-dimensional depth-averaged model with unstructured meshes
… model HydroSed which solves for 2D shallow water equations and sediment bedload transport equation at Hydrosystems Laboratory, UIUC. In this thesis, the author further modifi es and improves the HydroSedv1.0 model so that the model is able to deal with the transport of contaminant. …
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