Flow over a bump

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UNDER CONSTRUCTION

Setup

The spatial domain consists of a rectangular

  Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle z_b = \begin{cases} 0, & \mbox{if } x < 8 m } \\ 0.2-0.05(x-10)^2, & \mbox{if } 8 \leq x \leq 12 \\ 0, & \mbox{if } x>12 \\ \end{cases} } (1)

where is the water surface elevation, is the water density, is the air density, is the gravitational acceleration, is the wind speed, is the water depth, and is a constant of integration.

Model Setup

A computational grid with constant water depth of 5 m and irregular boundaries is used in order to test the model performance. The computational grid has 60 columns and 70 rows and a constant resolution of 500 m.

Results

Figure 1. Computed water surface elevation for the irregular domain with constant water depth.

Figure 2. Comparison of computed water surface elevation to the analytical solution for an irregular basin with constant depth.



Test Cases

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