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Implicit-explicit finite-difference lattice Boltzmann method with viscid compressible model for gas oscillating patterns in a resonator
Yong Wang #,Yaling He,Jing Huang,Qing Li
State Key Laboratory of Multiphase Flow in Power Engineering, School of Energy & Power Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, China
*Correspondence author
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Funding: 国家自然科学基金,国家自然科学基金（No.50425620,50736005）
Opened online:25 December 2007
Accepted by: none
Citation: Yong Wang,Yaling He,Jing Huang.Implicit-explicit finite-difference lattice Boltzmann method with viscid compressible model for gas oscillating patterns in a resonator[OL]. [25 December 2007] http://en.paper.edu.cn/en_releasepaper/content/17371
 
 
Difficulties for the conventional computational fluid dynamics and standard lattice Boltzmann method to study the gas oscillating patterns in a resonator are discussed. In light of the recent progresses in the lattice Boltzmann method world, we are now able to deal with the compressibility and non-linear shock wave effects in the resonator. The implicit-explicit finite-difference lattice Boltzmann method is used to investigate such problem. In particular, a lattice Boltzmann model for viscid compressible flows is introduced firstly. Then, the Boltzmann equation with Bhatnagar-Gross-Krook approximation is solved by a finite-difference method with the third-order implicit-explicit Runge-Kutta scheme for time discretization, and the fifth-order WENO scheme for space discretization. Numerical results obtained in this study agree quantitatively well with available experimental data and simulation results using conventional numerical methods. Moreover, with the implicit-explicit finite-difference lattice Boltzmann method, the computational convergence rate can be significantly improved compared with the previous finite-difference and standard lattice Boltzmann method. This work is carried out as the first effort to study phenomena in thermoacoustics engines with lattice Boltzmann method.
Keywords:Lattice Boltzmann method; implicit-explicit; finite-difference; compressible flow; gas oscillating
 
 
 

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