acous_preal#

EQ = acous_preal {Galerkin_wt} APR {Interpol_fnc} <float list>

Description / Usage#

This card provides information for solving a differential equation for the real part of the harmonic acoustic wave equation. Definitions of the input parameters are defined below. Note that <float1> through <float5> define the constant multipliers in front of each type of term in the equation. The Galerkin weight and the interpolation function must be the same for the code to work properly.

acous_preal

Name of the equation to be solved.

{Galerkin_wt}

Two-character value that defines the type of weighting function for this equation, where:

  • Q1-Linear

  • Q2-Quadratic

APR

Name of the variable associated with this equation.

{Interpol_fnc}

Two-character value that defines the interpolation

  • Q1-Linear

  • Q2-Quadratic

<float1>

currently not used.

<float2>

Multiplier on acoustic absorption term.

<float3>

Multiplier on boundary terms.

<float4>

Multiplier on Laplacian term.

<float5>

Multiplier on pressure term.

Note: These multipliers are intended to provide a means of activating or deactivating terms of an equation, and hence should be set to zero or one. If a multiplier is zero, the section of code that evaluates the corresponding term will be skipped.

Examples#

The following is a sample card that uses quadratic continuous interpolation for the species equation and turns on all the term multipliers:

EQ = acous_preal Q2 APR Q2 0. 1. 1. 1. 1.

Technical Discussion#

Harmonic form of the wave equation with absorption (attenuation) included. P is the amplitude of the acoustic pressure (complex), k is the wavenumber, \(\alpha\) is the absorption coefficient, and \(\omega\) is the frequency (rad/sec).

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