Lattice Boltzmann method for heat transfer in transitional flows with unified single-node curved boundary conditions. (15th August 2023)

• Record Type: Journal Article
• Authors: Xiang, Xing; Wang, Limin
• Is Part Of: International journal of heat and mass transfer. Volume 210(2023)
• Publication Date: 2023-08-15
• Subjects: Thermal lattice Boltzmann method -- Curved boundary conditions -- Multi-GPU computation -- Transitional flows -- Low-Reynolds-number airfoils; CFD computational fluid dynamics -- TLBM thermal lattice Boltzmann method -- DDF double distribution function -- SRT single-relaxation-time -- MRT multiple-relaxation-times -- GPU graphics processing unit -- MPI message-passing interface -- BPO Bernstein polynomials -- FFT fast Fourier transform -- CST class-shape function transformation parameterization -- AOA angles of attack -- MLUPS mega lattice updates per second; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2023.124167
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: Unified single-node curved boundary conditions based on TLBM are proposed with higher accuracy and parallel scalability than conventional schemes. Parametric combined momentum-exchange method accurately simulates the lift coefficients for airfoils in transitional flows using Multi-GPU computation. Simulated average Nussel numbers N u ¯ for forced convection of airfoils similar to the experimental results are equivalent to and modify the Hilpert correlation. Abstract: Laminar separation bubbles in transitional flows of low-Reynolds-number airfoils significantly affect aerodynamic efficiency and heat transfer characteristics, which can be dealt with using the numerical method with boundary treatment of complex geometry. This work proposes the unified single-node curved boundary conditions based on the thermal lattice Boltzmann method, and several benchmarks verify the higher accuracy and parallel scalability over conventional schemes. Multi-GPU simulations for airfoil Eppler 61 and SD8020 are carried out, and the lift coefficients C L are accurately simulated by the parametric combined momentum-exchange method. Furthermore, time-averaged pressure coefficients C p and local Nussel number N u of airfoil surfaces are obtained, and the unsteady flow and heat transfer characteristics of laminar separation bubbles are captured. Simulated average Nussel numbers N u ¯ for an Eppler 61 airfoil with different Reynold numbers are equivalent to and modify the Hilpert correlation. The numerical method can quickly and accurately predict transitional flows of low-Reynolds-number airfoils and guide the design and application of heat transfer with blade configuration.