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11.[(Optional) Artificial Mach Number Parameters](#11-artificial-Mach-number)
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Items 7, 8, 9, and 10 are optional sets of parameters that activate the acoustic source model, ensemble-averaged bubble model, initial velocity field setup, and phase change, respectively.
12.[(Optional) Artificial Mach Number Parameters](#12-artificial-Mach-number)
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Items 8, 9, 10, 11 and 12 are optional sets of parameters that activate the acoustic source model, ensemble-averaged bubble model, initial velocity field setup, phase change, artificial Mach number respectively.
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Definition of the parameters is described in the following subsections.
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### 1. Runtime
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-`ptgalpha_eps` Specifies the tolerance used for the Newton Solvers used in the pTg-equilibrium model.
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### 11. Artificial Mach Number
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### 12. Artificial Mach Number
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| Parameter | Type | Description |
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| ---: | :----: | :--- |
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|`pi_fac`| Real | Ratio of artificial and true `pi_\infty` values|
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