TITLE

The effects of the spatial distribution of bottom topography and bottom drag on seiche-induced wave train formation

AUTHOR(S)
Baglaenko, Anton; Stastna, Marek; Steinmoeller, Derek T.; Poulin, Francis J.
PUB. DATE
July 2012
SOURCE
Water Quality Research Journal of Canada (IWA Publishing);2012, Vol. 47 Issue 3/4, p300
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We consider the nonlinear, non-hydrostatic dynamics of seiches in small to medium-sized lakes. Using numerical simulations of shallow water equations modified to include weakly non-hydrostatic effects, we illustrate how spatially varying bottom drag and finite amplitude topography lead to the bending of wave trains that develop from the initial standing wave. For the case of variable topography, we discuss how the seiche and the wave trains that develop can resuspend material (e.g. nutrients) from the bottom of the lake and redistribute it in space. The numerical methods employed are spectrally accurate in space and second-order in time, yielding excellent accuracy and little numerical dissipation. We find that while the resuspension itself is largely due to the long standing waves at early times, the redistribution of nutrient distribution that is seen at later times is profoundly influenced by the development of the wave trains; a fundamentally non-hydrostatic effect.
ACCESSION #
94753625

 

Related Articles

  • The internal seiche field in the changing South Aral Sea (2006-2013). Roget, Elena; Khimchenko, Elizaveta; Forcat, Francesc; Zavialov, Peter // Hydrology & Earth System Sciences Discussions;2016, p1 

    Internal standing waves (seiches) in the South Aral Sea are studied for the first time. The study, based on numerical simulations and field data and, focuses on two different campaigns: the first in autumn 2006, when the stratification was weak, and the second in autumn 2013, when it was strong....

  • A new class of instabilities of rotating fluids. Lifschitz, Alexander; Fabijonas, Bruce // Physics of Fluids;Aug96, Vol. 8 Issue 8, p2239 

    Considers standing waves in a rotating ideal fluid. Instability of the standing waves with respect to short-wavelength perturbations; Growth rate of the corresponding instabilities; Suggestions that the observed instabilities are akin to the Hadamard instabilities.

  • Numerical simulation of undular jumps on graveled bed using volume of fluid method. Rostami, Fatemeh; Yazdi, Saeed Reza Sabbagh; Md Said, Md Azlin; Shahrokhi, Mahdi // Water Science & Technology;2012, Vol. 66 Issue 5, p909 

    Undular hydraulic jumps are characterized by a smooth rise of the free surface, followed by a train of stationary waves. These jumps sometimes occur in natural waterways and rivers. Numerical difficulties are especially distinct when the flow condition is close to the critical value because of...

  • Numerical simulation of undular jumps on graveled bed using volume of fluid method. Rostami, Fatemeh; Yazdi, Saeed Reza Sabbagh; Md Said, Md Azlin; Shahrokhi, Mahdi // Water Science & Technology;2012, Vol. 66 Issue 5, p909 

    Undular hydraulic jumps are characterized by a smooth rise of the free surface, followed by a train of stationary waves. These jumps sometimes occur in natural waterways and rivers. Numerical difficulties are especially distinct when the flow condition is close to the critical value because of...

  • NUMERICAL SIMULATION OF FLOW DYNAMICS IN THE PERIODIC REGIME IN AN IDEALIZED THERMOACOUSTIC ENGINE. Ma, L.; Weisman, C.; Baltean-Carl├Ęs, D.; Delbende, I.; Bauwens, L. // Magnetohydrodynamics (0024-998X);Jul-Sep2015, Vol. 51 Issue 3, p601 

    Flow dynamics in the stack and heat exchangers of a standing wave thermoacoustic engine is studied using two-dimensional direct numerical simulations. The numerical approach is based on asymptotic coupling in the low Mach number limit of a nonlinear dynamic model in the active cell with linear...

  • Instability of stagnation points in magnetohydrodynamic equilibria. Nunez, Manuel // Physics of Plasmas;Sep96, Vol. 3 Issue 9, p3288 

    Focuses on instabilities associated with streamlines connecting stagnation points in an equilibrium with plane incompressible flow. Velocity of fluid absorption at the endpoint; Velocity of fluid emission at the initial point; Discrete spectrum of unstable standing waves.

  • Instability of a deformed liquid drop in an acoustic field. Shi, W. Tai; Apfel, Robert E.; Holt, R. Glynn // Physics of Fluids;Nov95, Vol. 7 Issue 11, p2601 

    Studies the flattening and breakup of an axially symmetric liquid drop in an acoustic standing wave field in air, using a boundary integral method. Interaction between the drop and the sound field; Dynamic behavior of the drop once it loses its equilibrium; Calculation of drop size and the...

  • Water Exchange on a Geological Timescale - Examples from Two Coastal Sites in the Baltic Sea. Eriksson, Christin; Engqvist, Anders // AMBIO - A Journal of the Human Environment;May2013, Vol. 42 Issue 4, p447 

    The water turnover of two coastal areas, Forsmark and Laxemar-Simpevarp, has been modeled for 13 selected years between 6500 bc and 9000 ad by utilizing information about past, present, and future bathymetry. The Forsmark area can be described as an open-ended funnel, and is analyzed with a...

  • Standing waves in deep water: Their stability and extreme form. Mercer, G. N.; Roberts, A. J. // Physics of Fluids A;Feb92, Vol. 4 Issue 2, p259 

    A stable and accurate numerical method to calculate the motion of an interface between two fluids is used to calculate two-dimensional standing water waves. The general method calculates arbitrary time-dependent motion of an interface, possibly including interfacial tension and different density...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics