shallow_water_2012_fsu
shallow_water_2012_fsu,
"What Makes the Ocean Wave?",
lectures on approximating the shallow water equations,
focussing on a simple code by Cleve Moler, and addressed to
the Summer Seminar series, given at the Department of Scientific Computing,
Florida State University, 17/19 July 2012.
The following files were used:
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cfl_h.png,
a plot of H, as the CFL condition is violated.
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cfl_uh.png,
a plot of UH, as the CFL condition is violated.
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fd_grid.png,
a typical finite difference grid.
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fem_grid.png,
a typical finite element grid.
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first_order_0.png,
a first order stencil, image 0.
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first_order_1.png,
a first order stencil, image 1.
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first_order_2.png,
a first order stencil, image 2.
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first_order_3.png,
a first order stencil, image 3.
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first_order_4.png,
a first order stencil, image 4.
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first_order_5.png,
a first order stencil, image 5.
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first_order_6.png,
a first order stencil, image 6.
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first_order_7.png,
a first order stencil, image 7.
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fsu_logo.pdf,
a logo for FSU.
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h099.png,
a plot of H after 99 time steps.
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lw0.png,
the Lax-Wendroff stencil, image 0.
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lw1.png,
the Lax-Wendroff stencil, image 1.
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lw2.png,
the Lax-Wendroff stencil, image 2.
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lw3.png,
the Lax-Wendroff stencil, image 3.
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lw4.png,
the Lax-Wendroff stencil, image 4.
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lw5.png,
the Lax-Wendroff stencil, image 5.
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lw6.png,
the Lax-Wendroff stencil, image 6.
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lw7.png,
the Lax-Wendroff stencil, image 7.
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lw8.png,
the Lax-Wendroff stencil, image 8.
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lw9.png,
the Lax-Wendroff stencil, image 9.
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shallow_water_2d.png,
a snapshot from Moler's 2D shallow water code.
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shallow_water_wave.mov,
an animation of the 1D shallow water equations with a sequence
of waves entering from the left, showing the gradual movement of
physical particles to the right.
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sixbysix_1.png,
a simple 6x6 grid of nodes.
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sixbysix_2.png,
a simple 6x6 grid, showing the induced regions.
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sixbysix_3.png,
a simple 6x6 grid, showing where fluxes are
estimated at midside nodes.
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sixbysix_4.png,
the 6x6 grid, turned on its side so that time is displayed
in the vertical direction, suggesting how time steps are taken.
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slinky.mov,
an animation of a slinky suspended on strings, suggesting the
transmission of a signal and the temporary storage of energy
by compression.
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slinky.png,
a snapshot from the slinky movie.
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tuning_fork.png,
an image suggesting the propagation of acoustic
waves from a tuning fork.
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uh099.png,
a plot of UH after 99 time steps.
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water_wave.png,
a snapshot from the shallow water wave movie.
Last revised on 05 February 2024.