精品文档---下载后可任意编辑元胞自动机与格子 Boltzmann 方法的大规模数值模拟的开题报告【摘要】本文首先介绍了元胞自动机和格子 Boltzmann 方法的原理，并对它们在大规模数值模拟方面的应用进行了讨论。然后，我们提出了一个采纳元胞自动机和格子 Boltzmann 方法的算法来模拟流体动力学问题的方案，包括模型建立、数值实现和结果分析。最后，我们将采纳该算法来模拟三维泊肃叶流的流动情况，并进行数值结果的比较和分析。【关键词】元胞自动机、格子 Boltzmann 方法、大规模数值模拟、流体动力学、泊肃叶流【Abstract】This paper first introduces the principles of cellular automata and lattice Boltzmann methods, and discusses their applications in large-scale numerical simulations. Then, we propose an algorithm using cellular automata and lattice Boltzmann methods to simulate fluid dynamics problems, including model establishment, numerical implementation, and result analysis. Finally, we will use this algorithm to simulate the flow of three-dimensional Poiseuille flow and compare and analyze the numerical results.【Keywords】cellular automata, lattice Boltzmann method, large-scale numerical simulation, fluid dynamics, Poiseuille flow
