CDS&E: Large-Scale Computation of the Phonon Boltzmann Transport Equation

CDS

• 批准号: 1250215
• 负责人: Sandip Mazumder
• 金额: $ 40万
• 依托单位: Ohio State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-09-15 至 2016-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1250215&HistoricalAwards=false
• 关键词: CDS& Large; Scale; Computation; Phonon

CBET-1250215PI: Sandip Mazumder, Ohio State UniversityThe inability to remove heat efficiently is currently one of the major stumbling blocks towards further miniaturization and advancement of electronic and optoelectronic devices. Overheating is one of the most common causes of device failure. The characteristic dimension of an electronic device, such as a transistor, could range anywhere from few tens of nanometers to few tens of micrometers. At these scales, experiments are difficult to perform and modeling provides a means to better understand heat transport. Heat conduction in semiconductor materials is dominated by phonons. At the length scales of relevance, phonon transport can be effectively modeled using the Boltzmann Transport Equation for phonons. This project will develop a powerful simulation framework that makes use of heterogeneous computer platforms for multi-level parallelization and solution of the phonon Boltzmann Transport Equation for the prediction of heat transport in semiconductor materials over a range of length scales spanning all the way from nanometers to millimeters. Estimates indicate that such computations will require ~1017 floating point operations (i.e., peta-scale computing and beyond). The project goal will be accomplished using three means: (1) development of new approximate formulations of the Boltzmann Transport Equation that hybridize discrete ordinates, spherical harmonics and Monte Carlo methods to reduce computational effort (number of flops), (2) development of tools for automatic multi-level (multi-cores, graphical processing units and central processing units) parallelization of sequential Fortran90 or C codes that solve partial differential equations on unstructured meshes, and (3) adaptation of the automatic parallelization tools to solution of the Boltzmann Transport Equation by subsequent investigation and fine-grain refinement of the underlying numerical algorithms.The research will pave the way for simulation-driven discovery of new material systems being used in applications such as thermo-electric energy conversion, Peltier cooling, solid-state sensing, and semiconductor lasers. From a computer science standpoint, while significant progress has been made on multi-level parallelization of codes that use structured meshes, the proposed research on unstructured mesh computations, being the first of its kind, will have unprecedented impact in all scientific computation disciplines that employ unstructured meshes. These include materials modeling, applied mechanics, computational fluid dynamics, and computational electromagnetics. The project will have impact on education through engagement of students at two levels: (a) high school students within the local area and participating in Ohio supercomputer center's summer programs and (b) graduate students through advanced numerical methods courses that will introduce them to advanced parallel computing using a variety of platforms (clusters, multi-cores, and graphical processing units).

CBET-1250215PI：俄亥俄州立大学的桑迪普·马祖德（Sandip Mazumder）无法有效去除热量，这是旨在进一步微型化和电子和光电设备进步的主要绊脚石之一。过热是设备故障的最常见原因之一。电子设备（例如晶体管）的特征尺寸的范围从几十纳米到几十微米的范围。在这些尺度上，实验难以执行，建模提供了一种更好地了解热传输的方法。半导体材料中的热传导以声子为主。在相关性的长度尺度上，可以使用声子的Boltzmann传输方程有效地对声子传输进行建模。该项目将开发一个强大的仿真框架，该框架利用异质的计算机平台用于多级并行化和声子Boltzmann传输方程的解决方案，以预测半导体材料中的热传输在一系列长度尺度上，这些长度范围从纳米级到毫米。估计表明，此类计算将需要〜1017浮点操作（即PETA尺度计算及其他）。项目目标将使用三种方法：（1）开发鲍尔茨曼传输方程的新的近似公式，以杂交离散尺寸，球形谐波和蒙特卡洛方法减少计算努力（数量）（数量），（2）开发自动多级，绘制多级，图形处理单元和序列的序列化的工具（2）关于非结构化网格的微分方程，以及（3）通过随后的研究和细粒度的细化和细粒度的细化来适应自动并行化工具来解决玻尔兹曼传输方程，该研究将铺平研究的方式，以在启用的应用中使用新的物质系统，例如，在应用中使用新的物质系统，例如，固定的良好的热量和热量良好的热量，并将其固定在热能良好的能量中，并将其铺平半导体激光器。从计算机科学的角度来看，虽然对使用结构化网格的代码的多级并行化取得了重大进展，但对非结构化网格计算的拟议研究（作为同类网格的第一个研究）将对所有采用非结构化网格的科学计算学科产生前所未有的影响。其中包括材料建模，应用力学，计算流体动力学和计算电磁学。该项目将通过在两个层面的学生参与来影响教育：（a）当地的高中生，并通过高级数值方法课程参加俄亥俄州超级计算机中心的夏季课程，以及（b）研究生，将他们引入高级平行计算，使用各种平台（群集，多台，多台和图形处理设备）。