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Theory and applications of an alternative lattice Boltzmann grid refinement algorithm
Alexandre Dupuis1, Bastien Chopard
1CUI-Computer Science Department, University of Geneva, CH-1211 Geneva, Switzerland.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 26, 2005
Summary
This study introduces a novel lattice Boltzmann grid refinement algorithm that enhances accuracy and applicability across all relaxation times. The new method accelerates flow settlement by up to 1,000 times using hierarchical grid levels.
Area of Science:
- Computational fluid dynamics
- Numerical methods
Background:
- Existing lattice Boltzmann grid refinement algorithms have drawbacks.
- Accurate and efficient simulation of fluid flow is crucial.
Purpose of the Study:
- To propose an alternative lattice Boltzmann grid refinement algorithm.
- To overcome limitations of current grid refinement techniques.
Main Methods:
- Developed a novel grid refinement algorithm for lattice Boltzmann methods.
- Utilized a hierarchy of grid levels for simulation.
Main Results:
- The proposed algorithm is accurate for all relaxation time values.
- Demonstrated significant acceleration of flow settlement.
- Achieved up to 1,000x faster convergence to the stationary regime compared to single-resolution grids.
Conclusions:
- The new algorithm offers improved accuracy and efficiency.
- Hierarchical grid refinement is effective for accelerating lattice Boltzmann simulations.
- This method provides a substantial speedup for flow settlement processes.
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