Physics of Wind Musical Instruments

管乐器物理

• 批准号: 2306035
• 负责人: Nicholas Giordano
• 金额: $ 30.4万
• 依托单位: Auburn University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-08-01 至 2026-07-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2306035&HistoricalAwards=false
• 关键词: Physics; Wind; Musical; Instruments

Sound generation in wind instruments such as the recorder, flute, trumpet, and clarinet involves the motion of a compressible fluid (air). This motion can be extremely complicated, and can lead to vortex formation and various nonlinear phenomena found in strongly driven fluids. Dr. Giordano will use advanced computational methods to study the fluid dynamics of air inside and around a variety of wind instruments. This fluid motion is directly responsible for sound generation, so the results of this study will lead to a better understanding of the musical tones produced by wind instruments. An integral component of this project will be the comparison of the computational results with experiments performed with real instruments, to test and validate the computational findings. The students who engage in this work will acquire computational skills that can be applied to a variety of other problems in science and engineering. Indeed, modeling the sound produced by a wind instrument involves the same equations and the same computational issues that are encountered in studies of the sound produced by a jet turbine, the motion of a flapping wing, human phonation, and other important aerodynamics problems, so students involved in this project will be well versed in the advanced computational modeling and experimental methods needed to tackle a wide range of problems in science and engineering. A first principles description of the fluid dynamics of a wind instrument requires the solution of the Navier-Stokes equations, a set of nonlinear partial differential equations. The complexity of the Navier-Stokes equations is such that their application to realistic musical instruments demands a computational solution, which is now feasible with available high performance parallel computers. This project will obtain solutions of the Navier-Stokes equations for a variety of wind instruments using state-of-the-art computational resources and custom designed algorithms for multicore computer architectures. These computational studies will be complemented with experimental measurements designed to test specific qualitative and quantitative predictions of the modeling results, leading to new insights into these instruments. The PI will also develop instructional modules on acoustics and musical instruments for K-12 teachers and students who participate in outreach programs at Auburn University.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.

录音机，长笛，小号和单簧管等风乐器中的声音发电涉及可压缩液体（空气）的运动。这种运动可能非常复杂，并且会导致涡流形成和强烈驱动的流体中发现的各种非线性现象。 乔丹诺博士将使用先进的计算方法来研究各种风仪内外空气的流体动力学。这种流体运动直接导致声音发电，因此这项研究的结果将使人们对风仪器产生的音乐音调有更好的了解。该项目的一个组成部分将是将计算结果与使用真实仪器进行的实验进行比较，以测试和验证计算结果。 从事这项工作的学生将获得计算技能，这些技能可以应用于科学和工程领域的其他各种问题。确实，对风乐器产生的声音进行建模涉及相同的方程式以及在对喷气涡轮机产生的声音，拍打机翼的运动，人类发音和其他重要的空气动力学问题的运动中遇到的相同计算问题，因此参与该项目的学生将在高级计算建模和实验方法中精心掌握，以解决科学领域的高级计算方法和实验方法。对风仪器的流体动力学的第一原理描述需要解决Navier-Stokes方程的解决方案，这是一组非线性偏微分方程。 Navier-Stokes方程的复杂性使得它们在现实乐器上的应用需要一个计算解决方案，现在使用可用的高性能并行计算机可行。该项目将使用最先进的计算资源和针对多层计算机体系结构的定制算法获得Navier-Stokes方程的解决方案。这些计算研究将与旨在测试建模结果的特定定性和定量预测的实验测量相辅相成，从而导致对这些工具的新见解。 PI还将为参加奥本大学参加外展计划的K-12教师和学生开发有关声学和乐器的教学模块。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的知识分子优点和更广泛的审查标准通过评估来进行评估的。