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Force evaluations in lattice Boltzmann simulations with moving boundaries in two dimensions
Huabing Li1, Xiaoyan Lu, Haiping Fang
1Shanghai Institute of Applied Physics, Chinese Academy of Sciences, P.O. Box 800-204, Shanghai 201800, China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2004
Summary
The stress-integration method accurately calculates hydrodynamic forces on curved and moving boundaries in lattice Boltzmann simulations, outperforming the momentum-exchange method for complex geometries and particle dynamics.
Area of Science:
- Computational fluid dynamics
- Numerical simulations
- Fluid mechanics
Background:
- Lattice Boltzmann simulations are widely used for fluid dynamics.
- Accurate calculation of hydrodynamic forces is crucial for complex boundary conditions.
Purpose of the Study:
- To investigate two methods for evaluating hydrodynamic forces in 2D lattice Boltzmann simulations.
- To compare the stress-integration and momentum-exchange methods on curved and moving boundaries.
Main Methods:
- Numerical simulations were performed using the lattice Boltzmann method.
- Hydrodynamic forces were evaluated using stress-integration and momentum-exchange techniques.
- Simulations included inclined boundaries, arcs, cylinder sedimentation, and Poiseuille flow.
Main Results:
- Stress-integration method showed high accuracy for forces on inclined and arc boundaries, unlike the momentum-exchange method.
- Sedimentation of a circular cylinder using stress-integration closely matched results from a second-order moving finite-element method.
- Simulations demonstrated particle migration in Poiseuille flow, consistent with the Segré-Silberberg effect.
Conclusions:
- The stress-integration method is a reliable approach for calculating hydrodynamic forces.
- This method is suitable for elastic boundaries and moving particles in fluid simulations.
- It offers a viable alternative to the momentum-exchange method for complex scenarios.