scholarly journals Heuristic and Eulerian interface capturing approaches for shallow water type flow and application to granular flows

2016 ◽  
Vol 304 ◽  
pp. 243-264 ◽  
Author(s):  
Hossein Aghakhani ◽  
Keith Dalbey ◽  
David Salac ◽  
Abani K. Patra
Keyword(s):  
Shallow Water ◽  
Granular Flows ◽  
Water Type ◽  
Interface Capturing ◽  
Type Flow

scholarly journals The Lituya Bay landslide-generated mega-tsunami. Numerical simulation and sensitivity analysis

2018 ◽  
Author(s):  
José Manuel González-Vida ◽  
Jorge Macías ◽  
Manuel Jesús Castro ◽  
Carlos Sánchez-Linares ◽  
Marc de la Asunción ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Sensitivity Analysis ◽  
Numerical Model ◽  
Shallow Water ◽  
Extreme Event ◽  
Fluid Model ◽  
Model Parameters ◽  
Water Type ◽  
Bathymetric Data ◽  
Run Up

Abstract. The 1958 Lituya Bay landslide-generated mega-tsunami is simulated using the Landslide-HySEA model, a recently developed finite volume Savage-Hutter Shallow Water coupled numerical model. Two factors are crucial if the main objective of the numerical simulation is to reproduce the maximal run-up, with an accurate simulation of the inundated area and a precise re-creation of the known trimline of the 1958 mega-tsunami of Lituya Bay. First, the accurate reconstruction of the initial slide. Then, the choice of a suitable coupled landslide-fluid model able to reproduce how the energy released by the landslide is transmitted to the water and then propagated. Given the numerical model, the choice of parameters appears to be a point of major importance, this leads us to perform a sensitivity analysis. Based on public domain topo-bathymetric data, and on information extracted from the work of Miller (1960), an approximation of Gilbert Inlet topo-bathymetry was set up and used for the numerical simulation of the mega-event. Once optimal model parameters were set, comparisons with observational data were performed in order to validate the numerical results. In the present work, we demonstrate that a shallow water type of model is able to accurately reproduce such an extreme event as the Lituya Bay mega-tsunami. The resulting numerical simulation is one of the first successful attempts (if not the first) at numerically reproducing in detail the main features of this event in a realistic 3D basin geometry, where no smoothing or other stabilizing factors in the bathymetric data are applied.

scholarly journals Weak Local Residuals as Smoothness Indicators in Adaptive Mesh Methods for Shallow Water Flows

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 345
Author(s):  
Sudi Mungkasi ◽  
Stephen Gwyn Roberts
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Numerical Solutions ◽  
Adaptive Mesh ◽  
Finite Volume Methods ◽  
Water Type ◽  
Two Dimensional ◽  
Water Flows ◽  
Shallow Water Flows ◽  
Smoothness Indicators

This paper proposes some formulations of weak local residuals of shallow-water-type equations, namely, one-, one-and-a-half-, and two-dimensional shallow water equations. Smooth parts of numerical solutions have small absolute values of weak local residuals. Rougher parts of numerical solutions have larger absolute values of weak local residuals. This behaviour enables the weak local residuals to detect parts of numerical solutions which are smooth and rough (non-smooth). Weak local residuals that we formulate are implemented successfully as refinement or coarsening indicators for adaptive mesh finite volume methods used to solve shallow water equations.

Stability of the Camassa-Holm peakons in the dynamics of a shallow-water-type system

2016 ◽  
Vol 55 (2) ◽  
Author(s):  
Robin Ming Chen ◽  
Xiaochuan Liu ◽  
Yue Liu ◽  
Changzheng Qu
Keyword(s):  
Shallow Water ◽  
Type System ◽  
Water Type

Sponges and the Chalk Rock

1962 ◽  
Vol 99 (3) ◽  
pp. 273-278 ◽  
Author(s):  
R. E. H. Reid
Keyword(s):  
Shallow Water ◽  
Deep Water ◽  
Water Type ◽  
Direct Bearing ◽  
Water Conditions ◽  
Rock Lithology

AbstractChalk Rock lithology suggests shallow-water conditions, but the fauna has been said (Woods, 1897; Jukes-Brown, 1904) to imply a depth between about 100–500 fm. A study of the sponges which are numerous in the Oxfordshire–Hertfordshire area shows that these form a fauna of the sort which is typical of the Chalk as a whole, with Hexactinellida predominant as was pointed out by Woods; this is a fauna of deep-water type by both modern and Cretaceous standards. The depth which these sponges imply need, however, not be much more than 100 fm., and their presence need have no direct bearing on the depth at which erosional features were formed.

scholarly journals Riemann Problem for Shallow Water Equation with Vegetation

2018 ◽  
Vol 26 (2) ◽  
pp. 145-173
Author(s):  
Stelian Ion ◽  
Dorin Marinescu ◽  
Stefan-Gicu Cruceanu
Keyword(s):  
Shallow Water ◽  
Riemann Problem ◽  
Shallow Water Equation ◽  
Water Type ◽  
Riemann Problems ◽  
Riemann Solution ◽  
Surface System ◽  
Family Based

Abstract We investigate the existence of the solution of the Riemann Problem for a simplified water ow model on a vegetated surface - system of shallow water type equations. It is known that the system with discontinuous topography is non-conservative even if the porosity is absent. A system with continuous topography and discontinuous porosity is also non-conservative. In order to define Riemann solution for such systems, it is necessary to introduce a family of paths that connects the states defining the Riemann Problem. We focus our attention towards choosing such a family based on physical arguments. We provide the structure of the solution for such Riemann Problems.

The cauchy problem for a shallow water type equation

1998 ◽  
Vol 23 (1) ◽  
pp. 123-139 ◽  
Author(s):  
A. Alexandrou Himonas ◽  
Gerard Misiolek ◽  
A. Alexandrou Himonas ◽  
Gerard Misiolek
Keyword(s):  
Cauchy Problem ◽  
Shallow Water ◽  
Type Equation ◽  
Water Type ◽  
The Cauchy Problem

Integrability Test and Travelling-Wave Solutions of Higher-Order Shallow- Water Type Equations

2010 ◽  
Vol 65 (4) ◽  
pp. 353-356
Author(s):  
Mercedes Maldonado ◽  
María Celeste Molinero ◽  
Andrew Pickering ◽  
Julia Prada
Keyword(s):  
Shallow Water ◽  
Travelling Wave ◽  
Higher Order ◽  
Water Type ◽  
Travelling Wave Solutions ◽  
Compatibility Conditions ◽  
Wave Solutions

We apply the Weiss-Tabor-Carnevale (WTC) Painlev´e test to members of a sequence of higher-order shallow-water type equations. We obtain the result that the equations considered are non-integrable, although compatibility conditions at real resonances are satisfied. We also construct travelling-wave solutions for these and related equations.

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