Abstract
Thermal lattice Boltzmann flux solver ðLBFSÞ is an effective numerical method for thermal flows. In conventional thermal LBFS, the standard discrete velocity model ðDVMÞ is adopted which limits the numerical efficiency. To address this issue, a novel thermal LBFS based on the simplified DVM is proposed. Firstly, a LB method for internal-energy-based energy equation is developed based on the D2Q5 DVM, which has less discrete velocities. In addition, the finite volume method ðFVMÞ is employed to discretize the macroscopic governing equations. Through the multiscale analysis, the developed LB equation is applied to calculate the interface flux of control volume. In addition, the explicit time-stepping scheme is used to update the conserved quantities. As a result, the simplified-DVM-based thermal LBFS is established for incompressible flows with heat transfer. Finally, two benchmark examples, i.e., natural convection in a square cavity and natural convection in a concentric annulus, are adopted to validate numerical accuracy and efficiency of the proposed thermal LBFS.
| Translated title of the contribution | A Thermal Lattice Boltzmann Flux Solver with Simplified Discrete Velocity Model |
|---|---|
| Original language | Chinese (Traditional) |
| Pages (from-to) | 3474-3479 |
| Number of pages | 6 |
| Journal | Kung Cheng Je Wu Li Hsueh Pao/Journal of Engineering Thermophysics |
| Volume | 45 |
| Issue number | 11 |
| State | Published - Nov 2024 |