Axisymmetric Horn

Problem description

This example solves adaptively the pressure field in a 3D axisymmetric model of a harmonic acoustic horn. The geometry and initial mesh are shown below.


Equation solved:

-\nabla \left(\frac{1}{\rho} \nabla p\right) - \frac{1}{\rho}\left(\frac{\omega}{c}\right)^2 p = 0.

Boundary conditions are Dirichlet (prescribed pressure) on the bottom edge, zero Neumann (symmetry) on the left edge, Newton (matched boundary)

\frac{1}{\rho} \frac{\partial p}{\partial n} = \frac{j \omega p}{\rho c}

on the outlet arc and zero Neumann (wall) on the rest of the boundary. Here p is pressure, \rho density of air, \omega = 2 \pi f angular frequency, and c speed of sound. See the main.cpp file for concrete values.

Sample results

Axisymmetrix horn results.

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