A compact perfectly matched layer algorithm for acoustic simulations in the time domain with smoothed particle...

Area of Science:

• Computational physics
• Acoustics
• Numerical methods

Background:

• Wave propagation in infinite domains is computationally challenging.
• Traditional methods struggle with boundary reflections in finite computational domains.
• Smoothed particle hydrodynamics (SPH) is a meshless method suitable for complex wave phenomena.

Purpose of the Study:

• To develop and implement a compact perfectly matched layer (C-PML) for SPH.
• To effectively absorb outgoing waves and minimize reflections in transient acoustic problems.
• To enhance computational stability and efficiency in wave propagation simulations.

Main Methods:

• Formulation of a C-PML approach for SPH models.
• Implementation of fictitious physical damping within PMLs.
• Utilizing a time exponential differencing scheme for C-PML algorithm.
• Conducting Gaussian pulse sound wave propagation tests.

Main Results:

• The C-PML algorithm effectively absorbs outgoing waves in SPH simulations.
• Fewer PML layers are required compared to conventional PML methods.
• The C-PML approach demonstrates improved computational stability.
• Analysis of PML layer thickness, attenuation coefficient, and smoothing length effects.

Conclusions:

• The proposed C-PML algorithm is effective for transient wave propagation using SPH.
• This method offers a more efficient and stable solution for absorbing boundary conditions.
• The findings contribute to advancing numerical simulations in acoustics and wave physics.