Numerical simulations of turbulence in hydro-electric applications

这一建议解决了一个对水力发电工业至关重要的问题：在有利压力梯度和不利压力梯度存在的情况下，开发准确的模型来预测粗糙表面上的流量。我们将使用湍流的直接和大涡模拟（DNS和LES）来验证工业中常用的reynolds - average Navier-Stokes方程的模型。虽然DNS和LES将在低于实际应用的雷诺数下进行，但LES应该能够实现完全粗糙的状态，从而可以将模拟结果扩展到实际应用中。拟议的研究将在几个方面使加拿大受益：首先，它将在计算科学方面培养一名博士生和一名PDF；其次，它将产生关于压力梯度与粗糙度相互作用的物理基础知识（一个很少研究，但技术上重要的问题）；第三，它将开发有利于发电行业的预测模型（也可能扩展到其他应用领域），并可能显著提高效率和节省资金。

This proposal addresses a problem of critical importance to the hydroelectric power industry: the development of accurate models for the prediction of the flow over rough surfaces, in the presence of favourable and adverse pressure gradients. We will use direct and large-eddy simulations (DNS and LES) of turbulence to validate the models for the Reynolds-Averaged Navier-Stokes equations that are commonly used in industry. Although the DNS and LES will be performed at Reynolds numbers lower than those in actual applications, the LES should be able to achieve the fully rough regime that allows extension of the simulation results to practical applications. The proposed research will benefit Canada in several ways: first, it will train one PhD student and one PDF in the computational sciences; secondly, it will generate fundamental knowledge on the physics of the interaction of pressure gradients with roughness (a little-studied, but technologically important problem); third, it will develop prediction models that will benefit the power generation industry (and may be extended to other areas of application as well), and can potentially result in significant efficiency increases and financial savings.