Three-Port Parallel Junction

In an example of three connecting tubes, the model would require three digital waveguides and a 3-port parallel junction to simulate the point at which they connect.

Figure 10: Three digital waveguides meeting at a three-port parallel junction.
\begin{figure}\centerline{%
\input{3wavjunc.pstex_t}}\end{figure}

Figure 11: Three-Port Parallel Junction.
\begin{figure}\centerline{\scalebox{0.6}{%
\input{3port.pstex_t}}}\end{figure}

The model of the three-port parallel junction will receive an incoming pressure wave, $ p_n^{+}$, on each of the three ports, and will return the corresponding outgoing pressure value,

$\displaystyle p_n^{-} = p_J - p_n^{+}.
$


``MUS 206: Modeling Acoustic Tubes and Wind Instrument Bores/Bells'' by Tamara Smyth, Department of Music, University of California, San Diego (UCSD).
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Copyright © 2019-05-22 by Tamara Smyth.
Please email errata, comments, and suggestions to Tamara Smyth<trsmyth@ucsd.edu>