Flow over a bump

UNDER CONSTRUCTION

Setup

The spatial domain consists of a rectangular

$z_{b}={\begin{cases}0,&{\mbox{if }}x<8\\0.2-0.05(x-10)^{2},&{\mbox{if }}8\leq x\leq 12\\0,&{\mbox{if }}x>8\\\end{cases}}$

(1)

where $\eta$ is the water surface elevation, $\rho$ is the water density, $\rho _{a}$ is the air density, $g$ is the gravitational acceleration, $W$ is the wind speed, $h$ is the water depth, and $C$ 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.

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

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Test Cases

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