*AMPLITUDE

1. Time or frequency.

2. Amplitude value (relative or absolute) at the first point.

3. Time or frequency.

4. Amplitude value (relative or absolute) at the second point.

5. Etc., up to four pairs per line.

Repeat this data line as often as necessary. Each line (except the last one) must have exactly four time/magnitude or frequency/magnitude data pairs.

1. Time or frequency.

2. Amplitude value (relative or absolute) at the first point.

Repeat this data line as often as necessary. Each line must have exactly one time/magnitude or frequency/magnitude data pair.

1. Amplitude value at the time or frequency given on the BEGIN parameter.

2. Amplitude value at the next point.

3. Etc., up to eight values per line.

Repeat this data line as often as necessary. Each line (except the last one) must have exactly eight amplitude values.

1. Amplitude value at the time or frequency given on the BEGIN parameter.

Repeat this data line as often as necessary. Each line must have exactly one amplitude value.

1. N, the number of terms in the Fourier series.

2. $\omega$, the circular frequency, in radians per time.

3. $t_0$, the starting time.

4. $A_0$, the constant term in the Fourier series.

1. $A_1$, the first coefficient of the cosine terms.

2. $B_1$, the first coefficient of the sine terms.

3. $A_2$, the second coefficient of the cosine terms.

4. $B_2$, the second coefficient of the sine terms.

5. Etc., up to eight values per line.

Repeat this data line as often as necessary. Each line (except the last one) must have exactly eight entries, to a total of 2N entries.

1. $A_0$.

2. A.

3. $t_0$.

4. ${\omega }_1$.

5. ${\omega }_2$.

1. $A_0$, the constant term.

2. A, the coefficient of the exponential function.

3. $t_0$, the start time of the exponential function.

4. $t_d$, the decay time of the exponential function.

1. Initial amplitude value (default = 1.0).

2. Minimum amplitude value (default = 0.1).

3. Maximum amplitude value (default = 1000.).

1. Charge material constant, K.

2. Charge material constant, k.

3. Charge material constant, A.

4. Charge material constant, B.

5. Adiabatic charge constant, $K_c$.

6. Ratio of specific heats for gas, $\gamma$.

7. Density of charge material, ${\rho }_c$.

8. Mass of charge material, $m_c$.

9. Depth magnitude of charge material, $d_I$.

1. Fluid mass density, ${\rho }_f$.

2. Sound speed in fluid, $c_f$.

3. X-direction cosine of fluid surface normal.

4. Y-direction cosine of fluid surface normal.

5. Z-direction cosine of fluid surface normal.

1. Acceleration due to gravity, g.

2. Atmospheric pressure, $p_{atm}$.

3. Wave effect parameter, $\eta$. Set to 1.0 for wave effects in the fluid and gas; set to 0.0 to neglect these effects. The default is 1.0.

4. Flow drag coefficient, $C_D$. The default is 0.0.

5. Flow drag exponent, $E_D$ ($E_D\ge 0$). The default is 2.0.

1. Time duration, $T_{\mathrm{final}}$.

2. Maximum number of time steps for the bubble simulation, $N_{\mathrm{steps}}$. The bubble amplitude simulation ceases when the number of steps reaches $N_{\mathrm{steps}}$ or the time duration, $T_{\mathrm{final}}$, is reached. The default is 1500.

3. Relative step size control parameter, ${\mathrm{\Omega }}_{\mathrm{rel}}$. The default is 1 × 10⁻¹¹.

4. Absolute step size control parameter, $X_{\mathrm{abs}}$. The default is 1 × 10⁻¹¹.

5. Step size control exponent, $\beta$. The step size, $\mathrm{\Delta }t$, is decreased or increased according to the error estimate: ${\left({\mathrm{\Omega }}_{\mathrm{rel}}\left|x\right|+X_{\mathrm{abs}}\right)}^{\beta }\le \mathrm{\Delta }t{\left|\frac{dx}{dt}\right|}^{\beta }$. The default is 0.2.

1. Enter the amplitude properties, eight per line.

Repeat this data line as often as necessary to define all amplitude properties.