CAJ | 학술논문

基于数学上的多尺度逐级逼近,给出了一种简单并且有效的方法来通过宏观物理量重构格子Boltzmann方法(LBM)的单粒子分布函数.所给出的重构算子为工程中基于宏观和介观模型的多尺度计算奠定了基础.通过耦合有限体积法(FVM)和LBM对顶盖驱动流进行数值计算,考核了此重构算子.计算结果与文献结果符合很好,并且耦合区域流线光滑过渡,速度矢量精确重合.计算结果证明,文中提出的重构算子可以准确有效地应用于LBM和宏观方法的耦合计算,并且其实施简单.
기우수학상적다척도축급핍근,급출료일충간단병차유효적방법래통과굉관물리량중구격자Boltzmann방법(LBM)적단입자분포함수.소급출적중구산자위공정중기우굉관화개관모형적다척도계산전정료기출.통과우합유한체적법(FVM)화LBM대정개구동류진행수치계산,고핵료차중구산자.계산결과여문헌결과부합흔호,병차우합구역류선광활과도,속도시량정학중합.계산결과증명,문중제출적중구산자가이준학유효지응용우LBM화굉관방법적우합계산,병차기실시간단.
An effective and simple way to reconstruct the lattice Bohzmann method (LBM) distri-bution functions by macro-scale parameters has been proposed on the basis of the mathematical multiscale-approach in this paper. The reconstruction operator offers a fundamental approach to multiscale computation in engineering application. The numerical computation on lid-driven cavity flow by the coupling between the results of LBM and the finite-volume method (FVM) is per-formed to verify the proposed reconstruction operator. The computation results are in agreement with the data in literature, and the smoothness of the streamlines in the coupled region is reason-able and the velocity vectors have an exact overlap. In addition, the results show that the present reconstruction operator can be adopted in the coupling computation of LBM and the macro-scale method easily and reliably.