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Consistent kinetic modeling of compressible flows with variable Prandtl numbers: Double-distribution quasiequilibrium approach.
Physical review. E·2026
Multispeed entropic lattice Boltzmann model for thermal flows.
N Frapolli1, S S Chikatamarla1, I V Karlin1
1Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 7, 2014
Summary
A new energy-conserving lattice Boltzmann model, using entropic principles, accurately simulates thermal flows by reproducing Fourier-Navier-Stokes equations. This method enhances direct numerical simulations and ensures model stability for complex geometries and subgrid simulations.
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Area of Science:
- Computational Fluid Dynamics
- Thermodynamics
- Numerical Analysis
Background:
- Existing lattice Boltzmann models face challenges in accurately simulating thermal flows.
- Higher-order lattice methods require robust entropic frameworks for stability.
- Direct numerical simulation of complex thermal phenomena remains computationally intensive.
Purpose of the Study:
- To develop an energy-conserving lattice Boltzmann model based on entropic theory for accurate thermal flow simulation.
- To enable direct numerical simulation of thermal flows by preserving exact space discretization of the advection step.
- To introduce a novel thermal wall boundary condition for curved geometries in multispeed lattices.
Main Methods:
- Construction of an energy-conserving lattice Boltzmann model using an entropy-supporting 'zero-one-three' lattice.
- Reproduction of full Fourier-Navier-Stokes equations at low Mach numbers.
- Extension of the Tamm-Mott-Smith boundary condition for thermal wall applications in curved geometries.
Main Results:
- The model successfully reproduces the Fourier-Navier-Stokes equations, demonstrating its capability for thermal flow simulation.
- The entropic realization ensures model stability, even for subgrid simulations.
- Numerical validation confirmed thermodynamic consistency across various classical setups.
Conclusions:
- The proposed lattice Boltzmann model offers a direct approach for thermal flow simulations, overcoming limitations of existing methods.
- The novel boundary condition facilitates simulations in complex, curved geometries.
- The entropic framework provides a stable and accurate platform for direct numerical simulation of thermal phenomena.