A novel thermal lattice Boltzmann model with heat source and its application in incompressible flow

作者：

Highlights：

• A new discrete model is proposed to eliminate the error terms in previous models.

• Two heuristic treatments were extended to handle the adiabatic and isothermal boundary conditions.

• Their efficiency and accuracy are analyzed theoretically and proved by some numerical validations.

• Natural convection flows with compression work and viscous dissipation were simulated using the present model.

摘要

•A new discrete model is proposed to eliminate the error terms in previous models.•Two heuristic treatments were extended to handle the adiabatic and isothermal boundary conditions.•Their efficiency and accuracy are analyzed theoretically and proved by some numerical validations.•Natural convection flows with compression work and viscous dissipation were simulated using the present model.

论文关键词：Heat source,Boundary treatment,Eckert number,Thermal lattice Boltzmann method

论文评审过程：Received 3 October 2021, Revised 2 April 2022, Accepted 5 April 2022, Available online 18 April 2022, Version of Record 18 April 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127167