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Volumetric method for calculating the flow around moving objects in lattice-Boltzmann schemes
M Rohde1, J J Derksen, H E A Van den Akker
1Kramers Laboratorium voor Fysische Technologie, Delft University of Technology, Prins Bernhardlaan 6, 2628 BW Delft, The Netherlands.
Summary
This study introduces a lattice-Boltzmann method for simulating fluid flow around moving objects of any shape. The method accurately calculates forces and fields, showing high accuracy even for complex scenarios.
Area of Science:
- Computational fluid dynamics
- Numerical methods
- Fluid mechanics
Background:
- Simulating fluid flow around moving objects is computationally challenging.
- Existing methods often struggle with arbitrary object shapes and grid independence.
Purpose of the Study:
- To develop a robust lattice-Boltzmann method for fluid flow simulation around arbitrarily shaped moving objects.
- To ensure grid independence and mass conservation in simulations of moving objects.
Main Methods:
- A volumetric lattice-Boltzmann scheme with facet-defined surfaces was employed.
- Additional momentum was added to reflected particles to represent object motion.
- Techniques for mass conservation were implemented for closed surfaces.
Main Results:
- Simulations of moving cube arrays showed minimal deviations in velocity and pressure fields at low Reynolds numbers (Re=0.5).
- At higher Re (Re=50), minor fluctuations were observed but had little impact on the velocity field.
- The method demonstrated second-order accuracy in lattice spacing for velocity calculations.
Conclusions:
- The proposed lattice-Boltzmann method accurately simulates fluid flow around moving objects of arbitrary shape.
- The approach shows good agreement with analytical solutions and literature data, validating its physical consistency and reliability.