A Characteristic Non-Reflecting Boundary Treatment in Lattice Boltzmann Method
KIM Dehee1, KIM Hyung Min2, JHON Myung S.1, VINAY III Stephen J.3, BUCHANAN John3
1Department of Chemical Engineering, Carnegie Mellon University, 5000 Forbes Ave, Pittsburgh, PA 15213, USA2Division of Mechanical System Design Engineering, Kyonggi University, Suwon, Kyonggi-do, Korea3Bechtel Bettis Inc, West Mifflin, PA 15122, USA
A Characteristic Non-Reflecting Boundary Treatment in Lattice Boltzmann Method
KIM Dehee1;KIM Hyung Min2;JHON Myung S.1;VINAY III Stephen J.3;BUCHANAN John3
1Department of Chemical Engineering, Carnegie Mellon University, 5000 Forbes Ave, Pittsburgh, PA 15213, USA2Division of Mechanical System Design Engineering, Kyonggi University, Suwon, Kyonggi-do, Korea3Bechtel Bettis Inc, West Mifflin, PA 15122, USA
摘要In lattice Boltzmann methods, disturbances develop at the initial stages of the simulation, the decay characteristics depend mainly on boundary treatment methods; open boundary conditions such as equilibrium and bounce-back schemes potentially generate uncontrollable disturbances. Excessive disturbances originate from non-physical reflecting waves at boundaries. Characteristic boundary conditions utilizing the signs of waves at boundaries which suppress these reflecting waves, as well as their implementation in the lattice Boltzmann method, are introduced herein. The performance of our novel boundary treatment method to effectively suppress excessive disturbances is verified by three different numerical experiments.
Abstract：In lattice Boltzmann methods, disturbances develop at the initial stages of the simulation, the decay characteristics depend mainly on boundary treatment methods; open boundary conditions such as equilibrium and bounce-back schemes potentially generate uncontrollable disturbances. Excessive disturbances originate from non-physical reflecting waves at boundaries. Characteristic boundary conditions utilizing the signs of waves at boundaries which suppress these reflecting waves, as well as their implementation in the lattice Boltzmann method, are introduced herein. The performance of our novel boundary treatment method to effectively suppress excessive disturbances is verified by three different numerical experiments.
KIM Dehee;KIM Hyung Min;JHON Myung S.;VINAY III Stephen J.;BUCHANAN John. A Characteristic Non-Reflecting Boundary Treatment in Lattice Boltzmann Method[J]. 中国物理快报, 2008, 25(6): 1964-1967.
KIM Dehee, KIM Hyung Min, JHON Myung S., VINAY III Stephen J., BUCHANAN John. A Characteristic Non-Reflecting Boundary Treatment in Lattice Boltzmann Method. Chin. Phys. Lett., 2008, 25(6): 1964-1967.
[1] Chen H, Kandasamy S, Orszag S, Shock R, Succi S andYahkot V 2003 Science 301 633 [2] Gruna D W 1993 PhD Dissertation (Colorado StateUniversity, Fort Collins) [3] Yu D, Mei R and Shyy W 2005 Prog. Comp. Fluid Dyn. 5 3 [4] Guo Z L, Zheng C G and Shi B C 2002 Chin. Phys. 11 366 [5] Martinez-Lera P, Izquierdo S and Fueyo N 2007 ComplexEffects in Large Eddy Simulation Lecture Notes in Computer Science{Vol 56 (Berlin: Springer) p203 [6] Thompson K W 1987 J. Comput. Phys. 68 1 [7] Thompson K W 1990 J. Comput. Phys. 89 439 [8] Poinsot T J and Lele S K 1992 J. Comput. Phys. 101 104 [9] Kim J W 1999 PhD Dissertation (Korea AdvancedInstitute of Science and Technology, Daejeon, Korea) [10] Filippova O and Hanel D 2000 J. Comput. Phys. 158 139 [11] Liou T M, Chen S H and Hwang P W 2002 J. FluidsEng. 124 81
2008, Vol. 25 
