Convergence studies of tidally-rectified circulation on Georges Bank

Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models

“…The resolution of ec2000v2d is based upon the wavelength to grid size ratio and topographic length scale [8][9][10]; it was developed for the generation of a tidal constituent data base for the WNAT model domain. Mukai et al [29] selected a target wavelength to gridsize ratio of '100 or more' and a TLS of 1.0.…”

“…Based upon their review, it seems that there are only about three quantitative relations (though many qualitative ones) that should influence mesh resolution: the Courant number, ( t)(gh) 1/2 ( M ) −1 , where t is the timestep, g is the acceleration due to gravity, and h is bathymetric depth [12][13][14][15][16]; the topographic length scale, h/ ∇h [8][9][10]; and localized truncation error [3,5,17,18], which requires the evaluation of twenty derivative terms, up to the fifth order. Note that meshing according to the Courant number or the topographic length scale would not incorporate bottom stress, and that LTEA, while compatible with regionally varying bottom stress, is not applicable at the domain boundary.…”

“…The a posteriori localized truncation error analysis (LTEA) [2][3][4][5] is more versatile than other methods, such as the wavelength to grid size ratio [6,7] and the topographic length scale [8][9][10] because of its (LTEA's) basis in the shallow water (momentum) equations. However, a major disadvantage of LTEA is that in order to compute values of the localized truncation error-upon which are based the target element sizes-a 9×9 finite difference (FD) molecule, centered at mesh nodes, is applied in computing the derivative terms (up to fifth order) of the localized truncation error estimate.…”

Biological-physical interactions on Georges Bank : plankton transport and population dynamics of the ocean quahog, Arctica islandica

“…Gawarkiewicz (1993) used a physical model (Semi-spectral Primitive Equation Model or SPEM, Haidvogel, et al, 1991) of Georges Bank with simple topography (a circular bank with a conical top) to represent the short term process of wind forced advection over Georges Bank in early spring. This model was then coupled to two different biological models in order to test the effects of wind forcing on resident plankton populations (Chapter 2, Lewis et al, 1994) A physical model of Georges Bank circulation developed at Dartmouth College by Dan Lynch, Chris Naimie and others has been used to study cod, haddock and sea scallop larvae, typically by tracking a large number of discrete particles as they are carried around the simulation domain (Lynch and Naimie, 1993;Werner, et al, 1993;Naimie, et al, 1994;Tremblay, et al, 1994;Lynch, et al, 1995Lynch, et al, , 1996Naimie, 1996;Werner, et al, 1996).…”

Comparison of finite difference and element models of internal tides on the Malin–Hebrides shelf

“…Such a detailed intercomparison was performed by a number of groups in connection with tides in the English Channel, giving rise to a range of papers as part of the tidal flow forum (e.g. Werner 1995;Lynch et al 1995;Walters and Werner 1989;Walters 1987). In the case of the barotropic tide, it has a long wavelength, and hence little short-scale spatial variability, except in nearshore regions.…”