This paper presents theoretical investigations of lattice Boltzmann method(LBM)to develop a completed LBM theory.Based on H-theorem with Lagrangian multiplier method,an amended theoretical equilibrium distribution fun...This paper presents theoretical investigations of lattice Boltzmann method(LBM)to develop a completed LBM theory.Based on H-theorem with Lagrangian multiplier method,an amended theoretical equilibrium distribution function(EDF)is derived,which modifies the current Maxwell–Boltzmann distribution(MBD)to include the total internal energy as its parameter.This modification allows the three conservation laws derived directly from lattice Boltzmann equation(LBE)without additional small-parameter expansions adopted in references.From this amended theoretical EDF,an improved LBM is developed,in which the total internal energy like the mass density and mean velocity is a new macroscopic variable to be updated for different times and cells during simulations.The developed method provides a means to consider external forces and energy generation sources as generalised forces in LBM simulations.The corresponding model and implementation process of the improved LBM are presented with its performance theoretically investigated.Analytically hand-workable examples are given to illustrate its applications and to confirm its validity.The paper will excite more researchers and scientists of this area to numerically practice the new theory and method dealing with complex physical problems,from which it is expected to further advance LBM benefiting science and engineering.展开更多
In 2011,China put the stock enhancement fishery in the same place as aquaculture,fishing,aquatic product processing and circulation industry,and recreational fishery,i. e. one of the five pillar industries of fishery ...In 2011,China put the stock enhancement fishery in the same place as aquaculture,fishing,aquatic product processing and circulation industry,and recreational fishery,i. e. one of the five pillar industries of fishery economy. Developing the stock enhancement fishery is a strategic measure for restoring and protecting fishery resources,expanding fishery,replacement environment cost,and promoting sustainable development of fishery. At present,cultivation and development of the new rising industry,the stock enhancement fishery,has certain comparative edge,excellent economic foundation and broad development space in China.展开更多
基金The author acknowledges the School of Naval Architecture and Ocean Engineering,HUST,providing the finance support managed by Guoxiang Hou,enabling author to visit HUST to tackle LBM.Thanks also are given to Yuehong Qian of Soochow University for providing some references involved in the paper.
文摘This paper presents theoretical investigations of lattice Boltzmann method(LBM)to develop a completed LBM theory.Based on H-theorem with Lagrangian multiplier method,an amended theoretical equilibrium distribution function(EDF)is derived,which modifies the current Maxwell–Boltzmann distribution(MBD)to include the total internal energy as its parameter.This modification allows the three conservation laws derived directly from lattice Boltzmann equation(LBE)without additional small-parameter expansions adopted in references.From this amended theoretical EDF,an improved LBM is developed,in which the total internal energy like the mass density and mean velocity is a new macroscopic variable to be updated for different times and cells during simulations.The developed method provides a means to consider external forces and energy generation sources as generalised forces in LBM simulations.The corresponding model and implementation process of the improved LBM are presented with its performance theoretically investigated.Analytically hand-workable examples are given to illustrate its applications and to confirm its validity.The paper will excite more researchers and scientists of this area to numerically practice the new theory and method dealing with complex physical problems,from which it is expected to further advance LBM benefiting science and engineering.
文摘In 2011,China put the stock enhancement fishery in the same place as aquaculture,fishing,aquatic product processing and circulation industry,and recreational fishery,i. e. one of the five pillar industries of fishery economy. Developing the stock enhancement fishery is a strategic measure for restoring and protecting fishery resources,expanding fishery,replacement environment cost,and promoting sustainable development of fishery. At present,cultivation and development of the new rising industry,the stock enhancement fishery,has certain comparative edge,excellent economic foundation and broad development space in China.
