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Multiscale lattice Boltzmann schemes for low Mach number flows
Olga Filippova1, Bettina Schwade, Dieter Hänel
1Institute of combustion and Gasdynamics, University of Duisburg, Germany. olga@vug.uni-duisburg.de
Summary
The Bhatnagar-Gross-Krook lattice Boltzmann method offers an advanced approach for simulating low-speed flows using the low Mach number approximation (LMNA). Its performance is comparable to commercial computational fluid dynamics (CFD) software.
Area of Science:
- Computational Fluid Dynamics
- Fluid Mechanics
- Numerical Methods
Background:
- The low Mach number approximation (LMNA) is crucial for simulating low-speed flows.
- Navier-Stokes equations are fundamental in fluid dynamics.
- Lattice Boltzmann methods offer an alternative to traditional CFD.
Purpose of the Study:
- To discuss the Bhatnagar-Gross-Krook (BGK) lattice Boltzmann approach for LMNA.
- To compare the performance of the BGK-LMNA method with commercial CFD software.
- To evaluate the efficacy of advanced lattice Boltzmann methods in fluid flow simulations.
Main Methods:
- Implementation of the Bhatnagar-Gross-Krook (BGK) lattice Boltzmann method.
- Application of the low Mach number approximation (LMNA) to Navier-Stokes equations.
- Comparative performance analysis against the FLUENT 5 computational fluid dynamics (CFD) code.
Main Results:
- The BGK lattice Boltzmann approach effectively solves LMNA equations.
- Performance of the BGK-LMNA method is found to be comparable to FLUENT 5.
- Demonstrated viability of advanced lattice Boltzmann methods for low-speed flow simulations.
Conclusions:
- The Bhatnagar-Gross-Krook lattice Boltzmann method is a viable and competitive tool for simulating low-speed thermal and athermal flows.
- Advanced lattice Boltzmann methods present a strong alternative to traditional CFD for specific flow regimes.
- The study validates the use of BGK-LMNA for accurate and efficient fluid dynamics simulations.