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A Simplified Linearized Lattice Boltzmann Method for Acoustic Propagation Simulation.
Qiaochu Song1, Rongqian Chen1, Shuqi Cao1
1School of Aerospace Engineering, Xiamen University, Xiamen 361005, China.
Entropy (Basel, Switzerland)
|November 11, 2022
Summary
A new simplified linearized lattice Boltzmann method (SLLBM) efficiently simulates acoustic wave propagation in fluids. This method simplifies calculations and reduces memory costs for acoustic disturbance and mean flow simulations.
Area of Science:
- Fluid dynamics
- Acoustics
- Computational physics
Background:
- Linearized lattice Boltzmann method (LLBM) is used for acoustic wave simulations.
- Simulating acoustic wave propagation in fluids with mean flow presents challenges.
Purpose of the Study:
- To propose a simplified linearized lattice Boltzmann method (SLLBM) for fluid acoustics.
- To enhance computational efficiency and reduce memory requirements for acoustic simulations.
Main Methods:
- Derivation of SLLBM from linearized lattice Boltzmann equation using Chapman-Enskog expansion.
- Application of fractional-step technique for predictor-corrector steps.
- Integration with immersed boundary method (IBM) for complex geometries.
Main Results:
- SLLBM separates acoustic disturbance and mean flow calculations.
- Achieved simpler computation and reduced memory cost compared to LLBM.
- Successfully simulated acoustic scattering with complex geometries by combining SLLBM and IBM.
Conclusions:
- SLLBM is a feasible and efficient method for simulating acoustic wave propagation in fluids, even under mean flow conditions.
- The method offers advantages in computational simplicity and memory efficiency.
- The combined SLLBM-IBM approach is effective for complex acoustic scattering problems.
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