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Kinetic lattice Boltzmann method for microscale gas flows: issues on boundary condition, relaxation time, and regularization.

Niu XD, Hyodo SA, Munekata T, Suga K. Niu XD, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Sep;76(3 Pt 2):036711. doi: 10.1103/PhysRevE.76.036711. Epub 2007 Sep 27. Phys Rev E Stat Nonlin Soft Matter Phys. 2007. PMID: 17930365

Comparative study of the discrete velocity and lattice Boltzmann methods for rarefied gas flows through irregular channels.

Su W, Lindsay S, Liu H, Wu L. Su W, et al. Phys Rev E. 2017 Aug;96(2-1):023309. doi: 10.1103/PhysRevE.96.023309. Epub 2017 Aug 25. Phys Rev E. 2017. PMID: 28950559 Free article.

Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation.

Zhang R, Shan X, Chen H. Zhang R, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Oct;74(4 Pt 2):046703. doi: 10.1103/PhysRevE.74.046703. Epub 2006 Oct 12. Phys Rev E Stat Nonlin Soft Matter Phys. 2006. PMID: 17155208

Lattice Boltzmann equation with multiple effective relaxation times for gaseous microscale flow.

Guo Z, Zheng C, Shi B. Guo Z, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Mar;77(3 Pt 2):036707. doi: 10.1103/PhysRevE.77.036707. Epub 2008 Mar 21. Phys Rev E Stat Nonlin Soft Matter Phys. 2008. PMID: 18517557

Evaluation of a lattice Boltzmann method in a complex nanoflow.

Suga K, Takenaka S, Ito T, Kaneda M, Kinjo T, Hyodo S. Suga K, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jul;82(1 Pt 2):016701. doi: 10.1103/PhysRevE.82.016701. Epub 2010 Jul 6. Phys Rev E Stat Nonlin Soft Matter Phys. 2010. PMID: 20866755

Filter-matrix lattice Boltzmann model for microchannel gas flows.

Zhuo C, Zhong C. Zhuo C, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Nov;88(5):053311. doi: 10.1103/PhysRevE.88.053311. Epub 2013 Nov 25. Phys Rev E Stat Nonlin Soft Matter Phys. 2013. PMID: 24329383

Boundary condition for lattice Boltzmann modeling of microscale gas flows with curved walls in the slip regime.

Tao S, Guo Z. Tao S, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Apr;91(4):043305. doi: 10.1103/PhysRevE.91.043305. Epub 2015 Apr 23. Phys Rev E Stat Nonlin Soft Matter Phys. 2015. PMID: 25974610

Consistent lattice Boltzmann modeling of low-speed isothermal flows at finite Knudsen numbers in slip-flow regime: Application to plane boundaries.

Silva G, Semiao V. Silva G, et al. Phys Rev E. 2017 Jul;96(1-1):013311. doi: 10.1103/PhysRevE.96.013311. Epub 2017 Jul 18. Phys Rev E. 2017. PMID: 29347253

Consistent lattice Boltzmann modeling of low-speed isothermal flows at finite Knudsen numbers in slip-flow regime. II. Application to curved boundaries.

Silva G. Silva G. Phys Rev E. 2018 Aug;98(2-1):023302. doi: 10.1103/PhysRevE.98.023302. Phys Rev E. 2018. PMID: 30253480

Gauss-Hermite quadratures and accuracy of lattice Boltzmann models for nonequilibrium gas flows.

Meng J, Zhang Y. Meng J, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Mar;83(3 Pt 2):036704. doi: 10.1103/PhysRevE.83.036704. Epub 2011 Mar 11. Phys Rev E Stat Nonlin Soft Matter Phys. 2011. PMID: 21517622 Free article.

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