Compressible Lattice Boltzmann Method for Turbulent Jet Flow Simulations
In Computational Fluid Dynamics (CFD), there are a variety of numerical methods, of which some depend on macroscopic model representatives. These models can be solved by finite-volume, finite-element or finite-difference methods on a microscopic description. However, the lattice Boltzmann method (LBM) is considered to be a mesoscopic particle method, with its scale lying between the macroscopic and microscopic scales. The LBM works well for solving incompressible flow problems, but certain limitations arise from solving compressible flows, particularly at high Mach numbers. An improved lattice Boltzmann model for compressible flow problems is presented in this research study. A higher-order Taylor series expansion of the Maxwell equilibrium distribution function is used to overcome limitations in LBM when solving high-Mach-number flows. Large eddy simulation (LES) is implemented in LBM to simulate turbulent jet flows. The results have been validated with available experimental data for turbulent compressible free jet flow at subsonic speeds.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.2363137Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 474
 A. Dieter and Wolf-Gladrow, Lattice-gas cellular automata and lattice Boltzmann models: An introduction. Berlin: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2002.
 J. Tu, C. Liu, and G. Yeoh, Computational Fluid Dynamics: A Practical Approach.: Butterworth-Heinemann, 2013.
 Z. Guo and C. Shu, Lattice Boltzmann method and its applications in engineering. Singapore: World Scientific, 2013.
 H. Shouxin, Y. Guangwu, and H. Weiping, "A lattice Boltzmann model for compressible perfect gas," Acta Mechanica Sinica, vol. 13, no. 3, pp. 218-226, Aug. 1997.
 X. Shan and X. He, "Discretization of the velocity space in the solution of the Boltzmann equation," Physical Review Letters, vol. 80, no. 1, pp. 65-68, Jan. 1998.
 T. Kataoka and M. Tsutahara, "Lattice Boltzmann method for the compressible Euler equations," Physical Review E, vol. 69, no. 5, May 2004a.
 T. Kataoka and M. Tsutahara, "Lattice Boltzmann model for the compressible Navier-Stokes equations with flexible specific-heat ratio," Physical Review E, vol. 69, no. 3, Mar. 2004b.
 K. Qu, C. Shu, and Y.T. Chew, "Alternative method to construct equilibrium distribution functions in lattice-Boltzmann method simulation of inviscid compressible flows at high Mach number," Physical Review E, vol. 75, no. 3, Mar. 2007.
 P. L. Bhatnagar, E. P. Gross, and M. Krook, "A model for collision processes in gases. I. Small amplitude processes in charged and neutral One-Component systems," Physical Review, vol. 94, no. 3, pp. 511-525, May 1954.
 D. Oztekin, "The Lattice Boltzmann Methods and Their Applications to Fluid Flows," Lehigh University, Thesis 2014.
 X. Shan and H. Chen, "Lattice Boltzmann model for simulating flows with multiple phases and components," Physical Review E, vol. 47, no. 3, pp. 1815-1819, Mar. 1993.
 J. Smagorinsky, "General Circulation Experiments With The Primitive Equations," Monthly Weather Review, vol. 91, no. 3, pp. 99-164, March 1963.
 A. Ghasemi, V. Roussinova, R. Balachandar, and R.M. Barron, "Reynolds number effects in the near-field of a turbulent square jet," Experimental Thermal and Fluid Science, vol. 61, pp. 249-258, Feb. 2015.
 H. Yu, L. Luo, and S. Girimaji, "LES of turbulent square jet flow using an MRT lattice Boltzmann model," Computers & Fluids, vol. 35, no. 8-9, pp. 957-965, Sep. 2006.