CAREER: Software Frameworks to Enable Parallel, Adaptive, Multiscale Simulation of Turbulence

职业：实现并行、自适应、多尺度湍流模拟的软件框架计算流体动力学（CFD）是对流体行为的数值模拟，例如汽车车身或飞机机翼上的空气流动或通过船舶的水流。这是计算科学中的一个经典问题，对科学（理解流体）和工业（提高陆地、空中和海上交通工具的性能）都有很大的影响。CFD的一些重要问题——特别是湍流，其中各种尺度的相互作用——仍然是未解决的问题。本项目将使用现代多尺度计算方法来解决这些问题。该项目的目标是开发必要的计算框架，以有效地模拟不同近似和分辨率水平下的湍流。它将整合现有的基于物理的湍流模型与现代多尺度方法，其中亚网格尺度模型是基于用于解决潜在偏微分方程的离散方法的数学分析。该项目将开发一个并行和自适应的计算环境，自动将网格细化和粗化与方法阶变化相结合，以实现高效率。最终的框架还将支持动态负载平衡，新的后验误差估计过程，以及在各种现代计算机体系结构上实现高性能的适当数据结构。从这个框架中吸取的经验教训将为其他复杂现象的框架提供见解。该框架还将带来丰富的教育回报。年幼的孩子们着迷于交互式计算机模拟世界（例如，为什么飞机会飞，或者棒球曲线）；这个框架可以被打包，让他们玩这些概念，并最终吸引他们进入科学和工程领域。在大学阶段，该框架可用于向工科学生解释流体力学概念，让CS学生在实际应用中分析通信行为，并向本科生和研究生说明数值分析。

CAREER: Software Frameworks to Enable Parallel, Adaptive, Multiscale Simulation of TurbulenceComputational Fluid Dynamics (CFD) is the numerical simulation of the behavior of fluids, such as the flow of air over a car body or airplane wing or the flow of water past a ship. This is a classic problem in computational science, with great implications for both science (understanding the fluids) and industry (improving performance of land, air, and sea vehicles). Important cases of CFD - particularly turbulence, where a broad range of scales interact - are still unsolved problems. This project will attack those problems using modern multiscale computational methods.The goal of this project is the development of computational frameworks necessary to efficiently simulate turbulent flows at different approximation and resolution levels. It will integrate existing physics-based turbulence models with modern multiscale methods, where subgrid-scale models are based on mathematical analyses of the discrete methods used to solve the underlying partial diffential equations. The project will develop a parallel and adaptive computational environment that automatically combines mesh refinement and coarsening with method-order variation to achieve high efficiency. The resulting framework will also support dynamic load-balancing, new a posteriori error estimation procedures, and appropriate data structures for high performance on a variety of modern computer architectures. Lessons learned from this framework will provide insight into frameworks for other complex phenomena. The framework will also enable rich educational rewards. Young children are fascinated by interactive computer simulations of the world (e.g. why do airplanes fly, or baseballs curve); the framework can be packaged to let them play with these concepts, and eventually attract them into a career in science and engineering. At the college level, the framework can be used to explain fluid mechanics concepts to engineering students, let CS students analyze communication behavior in a real application, and illustrate numerical analysis to undergraduate and graduate students.