IRES Track I: Advanced Engineering and Scientific Computing Research in Sweden

IRES Track I:瑞典的先进工程和科学计算研究

基本信息

  • 批准号:
    2153488
  • 负责人:
  • 金额:
    $ 29.99万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Standard Grant
  • 财政年份:
    2022
  • 资助国家:
    美国
  • 起止时间:
    2022-09-01 至 2025-08-31
  • 项目状态:
    未结题

项目摘要

Engineering and Scientific Computing (ESC) is a fascinating discipline, as it advances research and development in myriad fields of knowledge, from Aerodynamics to Space Science, contributes to the United States’ technological leadership, and supports private sector competitiveness. ESC fosters such innovations by implementing on high-performance computers novel computational methods that numerically solve mathematical models of physical systems.As ESC advances research worldwide, this project will educate globally minded students for international research leadership in Engineering and Scientific Computing. Indeed, ESC professionals with both scientific computing and global engagement skills are in high demand by multinational corporations, government research laboratories, and academia. This demand prompts a need to increase the number of students in computing research, beginning with undergraduate students, as they progress in the educational pipeline towards employment or graduate school. This IRES program will involve twenty-one diverse U.S. students over three years. Diversity will be achieved by recruiting students from different genders and heritages including, but not limited to, American, African, Asian, Hispanic, and Native American heritages. Each year, there will be a cohort of seven U.S. students who will complete a fifteen-week long research experience in Sweden. In each same year, this cohort will be expanded with seven Swedish students, separately supported by Sweden. Students in the expanded cohort will interact with one another to establish a future international professional network for all participants. Sweden is a desirable overseas destination for this program, also in view of the partnerships among U.S. and Swedish corporations that use ESC. These corporations include Sweden’s Saab as well as Boeing, which are collaborating with each other in the fulfillment of a major nine-year U.S. Air Force contract and will also support this program through computing projects and internships. The Swedish host for this program is Linköping University (LiU). This is an ideal international partner as it develops and applies mathematically robust algorithms, serves as the main partner of its region’s Visualization Center, and manages Sweden’s National Supercomputer Center. This center houses the largest high-performance computer in Sweden, which features 1.5 petabytes of data storage, 480 GPU’s, and a processing speed of 300 petaflops. The IRES scholars will thus have access to leadership-class facilities and conduct their research in the welcoming international Computational Mathematics research environment within LiU’s Division of Applied Mathematics. By developing globally engaged students who have practiced scientific computing research overseas, this IRES program will also widen students’ professional opportunities as well as global horizons. By living in a different country and culture, the participants will also sharpen their interaction, resilience, and resourcefulness skills in navigating distinct cultures, expectations, and processes. These transferrable skills are valued by employers and multinational corporations highly. The U.S. students will contribute to advance engineering and scientific computing by completing research projects on the development of efficient, stable, and high-order accurate algorithms for investigating realistic physical processes. These algorithms will discretely approximate and numerically solve systems of linear and non-linear time-dependent partial differential equations, emphasizing rapid convergence and scalability on high-performance computer architectures. The scholars will explore the development of innovative discrete differentiation operators on arbitrary point sets via machine learning, neural networks, and orthogonal functions, including Chebyshev polynomials, to increase spatial accuracy. The resulting stiff ordinary differential equations will be integrated through low-diffusion, e.g. symplectic, implicit time stepping processes. The resulting non-linear algebraic equations will then be solved via Newton iteration, leading to the solution of sequences of linear systems. These will be solved through combinations of direct and iterative Krylov-type flexibly preconditioned numerical linear algebra solvers. An initial field for the iterative solution of these linear systems on dense grids will be generated via interpolation of a direct Gaussian-elimination solution within a coarse grid. The scholars will practice the skills to apply mathematical frameworks and also appreciate the approximations involved in computational models, understand the range of validity of computational results, and analyze these results critically. These are crucially needed skills. Efficient and scalable computational algorithms are important worldwide to advance fields of knowledge that critically rely on scientific computing and thereby advance technological development as well as designs cost effectively. This is because these designs increasingly rely on computational simulations, which usher in the era of e-design to lower development costs, increase first-time quality of prototypes, and decrease time to bring complex systems, such as aircraft, to markets.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.
工程与科学计算(ESC)是一门迷人的学科,因为它推动了从空气动力学到空间科学等众多知识领域的研究和发展,有助于美国的技术领先地位,并支持私营部门的竞争力。ESC通过在高性能计算机上实现新颖的计算方法,以数值方式解决物理系统的数学模型,从而促进这种创新。随着ESC在全球范围内推进研究,该项目将培养具有全球视野的学生,使他们成为工程和科学计算领域的国际研究领导者。事实上,拥有科学计算和全球参与技能的ESC专业人员在跨国公司、政府研究实验室和学术界都有很高的需求。这种需求促使需要增加计算机研究学生的数量,从本科生开始,因为他们在通往就业或研究生院的教育管道中取得进展。这个IRES项目将有21名来自不同国家的美国学生参加,为期三年。多元化将通过招收不同性别和不同文化背景的学生来实现,包括但不限于美国人、非洲人、亚洲人、西班牙人以及美洲原住民。每年,将有7名美国学生在瑞典完成为期15周的研究经历。在同一年,这个队列将增加7名瑞典学生,由瑞典单独资助。在扩大的队列中,学生将彼此互动,为所有参与者建立未来的国际专业网络。瑞典是该项目理想的海外目的地,也考虑到使用ESC的美国和瑞典公司之间的合作关系。这些公司包括瑞典的萨博公司和波音公司,它们正在相互合作履行一项为期9年的美国空军主要合同,并将通过计算项目和实习来支持该计划。瑞典主办:Linköping University (LiU)。这是一个理想的国际合作伙伴,因为它开发和应用数学上强大的算法,作为其区域可视化中心的主要合作伙伴,并管理瑞典的国家超级计算机中心。该中心拥有瑞典最大的高性能计算机,具有1.5 pb的数据存储,480个GPU,处理速度为300 petaflops。因此,IRES的学者将有机会使用一流的设施,并在刘的应用数学系欢迎的国际计算数学研究环境中进行研究。通过培养在海外从事科学计算研究的学生,这个IRES项目也将扩大学生的专业机会和全球视野。通过在不同的国家和文化中生活,参与者还将在驾驭不同的文化、期望和流程方面提高他们的互动、适应能力和应变能力。这些可转移的技能受到雇主和跨国公司的高度重视。美国学生将通过完成研究项目,为研究现实物理过程开发高效、稳定和高阶精确的算法,为推进工程和科学计算做出贡献。这些算法将离散地近似和数值求解线性和非线性时相关偏微分方程系统,强调在高性能计算机体系结构上的快速收敛和可扩展性。学者们将探索通过机器学习、神经网络和正交函数(包括切比雪夫多项式)在任意点集上开发创新的离散微分算子,以提高空间精度。所得的刚性常微分方程将通过低扩散,例如辛,隐式时间步进过程进行积分。由此产生的非线性代数方程将通过牛顿迭代求解,从而得到线性系统序列的解。这些问题将通过直接和迭代krylov型灵活预置数值线性代数求解器的组合来解决。这些线性系统在密集网格上的迭代解的初始场将通过在粗网格内的直接高斯消去解的插值产生。学者们将练习应用数学框架的技能,并欣赏计算模型中涉及的近似,理解计算结果的有效性范围,并批判性地分析这些结果。这些都是至关重要的技能。高效和可扩展的计算算法在世界范围内对推进关键依赖科学计算的知识领域至关重要,从而推动技术发展以及成本有效的设计。这是因为这些设计越来越依赖于计算模拟,从而开创了电子设计时代,以降低开发成本,提高原型的首次质量,并缩短将复杂系统(如飞机)推向市场的时间。该奖项反映了美国国家科学基金会的法定使命,并通过使用基金会的知识价值和更广泛的影响审查标准进行评估,被认为值得支持。

项目成果

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