## Time-dependent response of a large variable depth basin to a suddenly imposed wind stress |

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Aat)cos Abramowitz amplitude Barotropic deformation Birchfield 1974 boundary condition circular parabolic basin coast Coastal currents coastal jet response coastal layer constant depth model Coriolis parameter counterclockwise Csanady CTmk deformation radius Eddy viscosity free modes Gm(r gravity and topographic gravity wave coefficients gravity wave pair ignoring bottom stress imposed wind stress inertial period initial conditions integrand inviscid problem jet maxima Lake Ontario Laplace transform large barotropic left downwind quadrant left upwind Legendre polynomials linearly longshore transport low frequency lowest mode seiche m m m=l m=l k=l maximum elevation maximum setup Model Lake neglecting bottom stress poles pressure pseudo-static setup pseudo-static wind setup radial mode number return flow right downwind quadrant Rossby rotation seiche response shown simple geometry model simplified Smk(r solutions 3.8 static setup static wind setup suddenly imposed wind term in 3.9 topographic and gravity topographic wave response uniform stress forcing uniform wind stress upwind end vanishes variable depth model