A stochastic approach to computational fluid dynamics
A stochastic approach to computational fluid dynamics
复制标题
计算流体动力学的随机方法
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
Francesco Petruccione
中科院分区：
文献类型：
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作者：
H. Breuer;Francesco Petruccione
本文介绍了一种新的计算流体力学方法，它把流体看作是一个随机动力系统。流体的速度与由作用在离散相空间中的适当主方程支配的随机过程有关。用（1 + 1）维流动现象解释了该方法。结果表明，随机方法自然导致透明的数值算法随机模拟流体运动。通过对平面Poiffille流的模拟，证明了概率方法对层流运动的正确描述。此外，孤立波和冲击波解的Burgers方程产生的随机模拟的潜在的随机过程。
In this paper a new approach to computational fluid dynamics is introduced in which the fluid is regarded as a stochastic dynamical system. The velocity of the fluid is related to a stochastic process governed by an appropriate master equation acting in a discrete phase space. The method is explained by means of (1 + 1)-dimensional flow phenomena. It is shown that the stochastic approach naturally leads to transparent numerical algorithms for stochastic simulations of fluid motion. By simulating plane Poiseuille flow it is demonstrated that the probabilistic approach yields a correct description of laminar fluid motion. Furthermore, soliton-like and shock wave solutions of Burgers' equation are generated by stochastic simulations of the underlying stochastic process.