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一维浅水方程的格子Boltzmann模拟
引用本文:程冰,周晓阳,陈秀荣,鲍远林. 一维浅水方程的格子Boltzmann模拟[J]. 应用数学, 2004, 0(Z1)
作者姓名:程冰  周晓阳  陈秀荣  鲍远林
作者单位:华中科技大学数学系 武汉430074(程冰,周晓阳,陈秀荣),华中科技大学数学系 武汉430074(鲍远林)
摘    要:通过无量纲化变换 ,建立了一个一维浅水方程的LB模型 ,对一维溃坝波进行了模拟计算 ,并分别与文献结果和精确解作了比较 ,说明了此种模型的进步之处和可行性 .

关 键 词:Lattice Boltzman方法  特征尺度  一维溃坝波

Lattice Boltzmann Simulation of One-dimensional Shallow Water Equations
CHENG Bing,ZHOU Xiao-yang,CHEN Xiu-rong,BAO Yuan-lin. Lattice Boltzmann Simulation of One-dimensional Shallow Water Equations[J]. Mathematica Applicata, 2004, 0(Z1)
Authors:CHENG Bing  ZHOU Xiao-yang  CHEN Xiu-rong  BAO Yuan-lin
Abstract:Through a nondimensional transformation,a new lattice Boltzmann model was developed.A one-dimensional dam breaking flow is simulated,and the result are compared with those from other papers and exact solutions.The agreements are satisfactory.It is shown that the model offered in this article has some progress and it is feasible.
Keywords:Lattice Boltzmann method  Character measure  The wave of one-dimensional dam break
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