Collaborative Research: CDS&E: A framework for solution of coupled partial differential equations on heterogeneous parallel systems

合作研究：CDS

• 批准号: 2004236
• 负责人: Hari Sundar
• 金额: $ 36.7万
• 依托单位: University of Utah
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-09-01 至 2024-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2004236&HistoricalAwards=false
• 关键词: Collaborative; Research; CDS& framework; solution

This project is aimed toward the development of a transformative software framework to more easily calculate complex mathematical models for science and engineering research. There is currently significant burden on scientists who need to execute their mathematical models on different supercomputers; code developed for one supercomputer must often be re-developing or significantly adjusted to run on other supercomputers. Streamlining this development process will make modern hardware including supercomputers more accessible and impactful for scientific computations. Beyond the benefits to the computational science research agenda of this project, the new software infrastructure is expected to similarly help other domain scientists who develop similar types of mathematical models. All developed software will be publicly released with an open-source license.Our goal is to develop a framework for code generation and efficient parallel solution of a large coupled set of partial differential equations (PDEs) with minimal user intervention. The Finite Volume Method will be used for discretization of the PDEs on unstructured meshes. From user-specified PDEs and their boundary and initial conditions in symbolic form, and characteristics of the target hardware platform, the framework will perform efficient code generation and enable load-balanced parallel execution. The generated parallel code can either be compiled and used as is, or can be used as a starting point for the insertion of additional physical models and features by advanced users. The software will be demonstrated for two problem types: (1) computation of reacting flows, in which multiple space and time dependent PDEs are non-linearly coupled, and (2) solution of the Boltzmann Transport Equation (BTE) for phonons, in which the discretization of the 7-dimensional BTE results in thousands of space and time dependent coupled PDEs.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该项目旨在开发变革性软件框架，以更轻松地计算科学和工程研究的复杂数学模型。目前，科学家需要在不同的超级计算机上执行其数学模型的巨大负担。为一个超级计算机开发的代码通常必须重新开发或进行大量调整以在其他超级计算机上运行。简化此开发过程将使包括超级计算机在内的现代硬件对科学计算更容易访问和影响。除了对该项目的计算科学研究议程的好处之外，新的软件基础架构有望类似地帮助开发类似类型的数学模型的其他领域科学家。所有已开发的软件都将通过开源许可证公开发布。我们的目标是为代码生成和有效的并行解决方案开发一个框架，以最少的用户干预，为一组大耦合部分偏微分方程（PDE）开发一个框架。有限体积方法将用于在非结构化网格上离散PDE。 从用户指定的PDE及其边界和最初条件以符号形式以及目标硬件平台的特征，该框架将执行有效的代码生成并启用负载平衡的并行执行。生成的并行代码可以按原样编译和使用，也可以用作高级用户插入其他物理模型和功能的起点。该软件将用于两种问题类型：（1）反应流量的计算，其中多个空间和时间依赖的PDE非线性耦合，以及（2）玻尔兹曼传输方程（BTE）的解决方案，该方程式（BTE）为7维BTE的数以千计的BTE离散化，在其中，依赖于时空的人口依赖于时空的BTE，并在其上依赖于couple couple coupled pdes.ples。认为值得通过基金会的智力优点和更广泛影响的评论标准来评估值得支持。

项目成果

Multi-discretization domain specific language and code generation for differential equations

微分方程的多离散化域特定语言和代码生成

• 发表时间: 2023
• 期刊: Journal of computational science
• 影响因子: 3.3
• 作者: Heisler, Eric;Deshmukh, Aadesh;Mazumder, Sandip;Sadayappan, Ponnuswamy;Sundar, Hari
• 通讯作者: Sundar, Hari

Scalable parallelization for the solution of phonon Boltzmann Transport Equation

• DOI: 10.1145/3577193.3593723
• 发表时间: 2023-06
• 期刊: Proceedings of the 37th International Conference on Supercomputing
• 作者: H. Tran;Siddharth Saurav;P. Sadayappan;S. Mazumder;H. Sundar

A Domain Specific Language Applied to Phonon Boltzmann Transport for Heat Conduction

应用于热传导声子玻尔兹曼输运的领域特定语言

• DOI: 10.1115/imece2022-95034
• 发表时间: 2022
• 期刊: ASME International Mechanical Engineering Congress and Exposition
• 作者: Heisler, Eric;Saurav, Siddharth;Deshmukh, Aadesh;Mazumder, Sandip;Sadayappan, Ponnuswamy;Sundar, Hari
• 通讯作者: Sundar, Hari