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Updated: Nov 7, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Smoothed profile method for direct numerical simulations of hydrodynamically interacting particles.
Ryoichi Yamamoto1, John J Molina1, Yasuya Nakayama2
1Department of Chemical Engineering, Kyoto University, Kyoto 615-8510, Japan. ryoichi@cheme.kyoto-u.ac.jp.
A new smoothed profile (SP) method efficiently computes the movement of interacting particles in fluids across all Reynolds numbers. This versatile computational fluid dynamics approach handles arbitrary particle shapes and various suspension types.
Area of Science:
- Computational fluid dynamics
- Multiphase flow simulations
- Particle-laden flows
Background:
- Accurate simulation of hydrodynamically interacting particles in fluids is crucial for understanding complex phenomena.
- Existing methods often face challenges with arbitrary particle shapes and a wide range of Reynolds numbers.
- Direct numerical simulations (DNS) require consistent coupling of fluid equations with particle motion.
Purpose of the Study:
- To present a general and efficient numerical method for computing the dynamics of hydrodynamically interacting particles in various fluids.
- To demonstrate the versatility of the proposed method for different types of particle suspensions.
- To validate the accuracy of the method against known results.
Main Methods:
- The study employs the smoothed profile (SP) method, a numerical scheme for coupling continuum fluid mechanics with dispersed moving particles.
- Sharp particle-fluid boundaries are regularized into a thin interfacial region, enabling resolution on a fixed Cartesian grid.
- The Navier-Stokes equation is solved consistently with particle motion, incorporating temporal boundary conditions.
Main Results:
- The smoothed profile (SP) method is shown to be an efficient numerical scheme for simulating particulate systems.
- The method accurately computes particle motions in various host fluids for arbitrary Reynolds numbers.
- The versatility of the SP method is demonstrated through applications to active and passive particle suspensions.
Conclusions:
- The smoothed profile (SP) method offers a robust and versatile approach for simulating complex particulate systems.
- This method provides accurate results for hydrodynamically interacting particles, irrespective of their shape or the fluid's Reynolds number.
- The SP method is a valuable tool for advancing research in multiphase flow and particle-laden flow simulations.
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