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Knowledge Based Cloud FE Simulation of Sheet Metal Forming Processes
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Eulerian-Lagrangian method for simulation of cloud cavitation.

Kazuki Maeda1, Tim Colonius1

  • 1Division of Engineering and Applied Science, California Institute of Technology 1200 East California Boulevard, Pasadena, CA 91125, USA.

Journal of Computational Physics
|February 12, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a novel computational method for simulating cloud cavitation, accurately capturing bubble oscillations and sound scattering. The approach combines Eulerian and Lagrangian techniques for precise modeling of compressible liquid dynamics.

Keywords:
Bubble dynamicsCavitationCompressible multiphase flowsEulerian-Lagrangian methodMultiscale modelingReduced-order modeling

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Area of Science:

  • Fluid Dynamics
  • Acoustics
  • Computational Science

Background:

  • Cloud cavitation involves complex bubble dynamics and acoustic phenomena.
  • Accurate simulation of these processes is crucial for understanding various physical phenomena.

Purpose of the Study:

  • To develop and verify a coupled Eulerian-Lagrangian computational method for simulating cloud cavitation in compressible liquids.
  • To accurately capture volumetric bubble oscillations and bubble-scattered acoustics.

Main Methods:

  • Volume-averaged equations of motion for bubbly mixture.
  • High-order, finite-volume weighted essentially non-oscillatory (WENO) scheme for the continuous phase.
  • Lagrangian point-bubbles tracked by the Keller-Miksis equation for the gas phase.
  • Regularization kernel for mapping sub-grid bubble distributions to the Eulerian grid.
  • Spatially averaged equations for reduced computational cost in homogeneous cases.
  • Closure model for sub-grid pressure fluctuations using synthetic noise.

Main Results:

  • The method accurately captures strong, volumetric oscillations of bubbles and scattered acoustics.
  • Reduced-order models using 2D or axi-symmetric grids are validated against 3D simulations.
  • Modeling sub-grid pressure fluctuations as white noise accurately reproduces bubble dynamics statistics.

Conclusions:

  • The developed Eulerian-Lagrangian method provides an accurate and efficient tool for simulating cloud cavitation.
  • The approach successfully models complex bubble dynamics and acoustic scattering.
  • The study validates the method through single bubble and cloud cavitation test cases induced by ultrasound.