Sspectral Numerical Solution of Stochastic Partial Differential Equations

目前还没有一种通用的求解流动的解析方法 通过随机非均匀多孔介质。 现有方法 微扰方法或蒙特卡罗模拟。 前者可以 只处理小的变化，而后者是非常耗时的 或者计算起来很昂贵。 这个加速奖的小说研究将探讨适用性 计算效率的谱方法 随机多孔介质 谱方法对于非线性问题并不陌生 但还没有应用到这个问题上。 机构支持充分，PI有资格进行 研究，我建议支持。

There does not exist a general analytical method for solving flow through a randomly heterogeneous porous medium. Current methods are either perturbation methods or Monte Carlo simulations. The former can only deal with small variances while the latter is very time consuming or expensive to compute. This Expedited Award for Novel Research will explore the applicability of the spectral method for computational efficiency for flow through random porous media. Spectral methods are not new to nonlinear problems but had not been applied to this problem. The Institutional support is adequate and the PI is qualified to carry out the research, I recommend support.