Second-order curved interface treatments of the lattice Boltzmann method for convection-diffusion equations with conjugate interfacial conditions

作者：Hu, Ze-Xi; Huang, Juntao; Huang, Wei -Xi^*; Cui, Gui-Xiang

来源：Computers & Fluids, 2017, 144: 60-73.

DOI：10.1016/j.compfluid.2016.12.003

• Lattice Boltzmann method
• Interfacial scheme
• Curved interface
• Convection-diffusion equation
• Conjugate interfacial condition
• Second-order accuracy

A numerical scheme for dealing with curved interfaces with second-order spatial accuracy in conjunction with the lattice Boltzmann method is proposed for solving the convection-diffusion equation with conjugate interfacial conditions, where no scalar or flux jumps exist. The main idea follows along with the previous work on second-order curved boundary treatments for convection-diffusion equations in Huang et al. (2016) [39]. We utilize the prescribed interfacial conditions to deduce the normal and tangential derivatives at the physical interface, which are transformed to the zigzag computational interface. Once the information on the computational interface is known, the second-order bounce-back boundary scheme can be perfectly adopted. The proposed interfacial scheme is validated in four numerical examples, including both the steady and unsteady heat transfer problems in a channel/circular domain with a straight/curved interface. The numerical results indicate that the second-order accuracy of the present method is achieved in all the tested examples.

• 出版日期2017-2-2
• 单位清华大学