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.

该项目旨在开发一个变革性的软件框架，以便更轻松地计算科学和工程研究的复杂数学模型。目前，需要在不同超级计算机上执行数学模型的科学家面临着巨大的负担；为一台超级计算机开发的代码通常必须重新开发或进行重大调整才能在其他超级计算机上运行。简化这一开发过程将使包括超级计算机在内的现代硬件更易于使用且对科学计算产生影响。除了对该项目的计算科学研究议程带来好处之外，新的软件基础设施预计还将为开发类似类型数学模型的其他领域科学家提供类似的帮助。所有开发的软件都将通过开源许可证公开发布。我们的目标是开发一个框架，用于代码生成和以最少的用户干预对大量耦合偏微分方程组（PDE）进行高效并行求解。有限体积法将用于非结构化网格上偏微分方程的离散化。 根据用户指定的偏微分方程及其符号形式的边界和初始条件，以及目标硬件平台的特征，该框架将执行高效的代码生成并实现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附加物理模型和功能的起点。该软件将针对两种问题类型进行演示：(1) 反应流计算，其中多个空间和时间相关的 PDE 是非线性耦合的，以及 (2) 声子玻尔兹曼输运方程 (BTE) 的解决方案，其中 7 维 BTE 的离散化会产生数千个空间和时间相关的耦合 PDE。该奖项反映了 NSF 的法定使命，并已被 通过使用基金会的智力优点和更广泛的影响审查标准进行评估，认为值得支持。

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