{"title":"不可压缩薛定谔流的量子富集大涡流模拟","authors":"Zishuo Han \n (, ), Yue Yang \n (, )","doi":"10.1007/s10409-024-24054-x","DOIUrl":null,"url":null,"abstract":"<div><p>We propose a hybrid quantum-classical method, the quantum-enriched large-eddy simulation (QELES), for simulating turbulence. The QELES combines the large-scale motion of the large-eddy simulation (LES) and the subgrid motion of the incompressible Schrödinger flow (ISF). The ISF is a possible way to be simulated on a quantum computer, and it generates subgrid scale turbulent structures to enrich the LES field. The enriched LES field can be further used in turbulent combustion and multi-phase flows in which the subgrid scale motion plays an important role. As a conceptual study, we perform the simulations of ISF and LES separately on a classical computer to simulate decaying homogeneous isotropic turbulence. Then, the QELES velocity is obtained by the time matching and the spectral blending methods. The QELES achieves significant improvement in predicting the energy spectrum, probability density functions of velocity and vorticity components, and velocity structure functions, and reconstructs coherent small-scales vortices in the direct numerical simulation (DNS). On the other hand, the vortices in the QELES are less elongated and tangled than those in the DNS, and the magnitude of the third-order structure function in the QELES is less than that in the DNS, due to the different constitutive relations in the viscous flow and ISF.\n</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":null,"pages":null},"PeriodicalIF":3.8000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10409-024-24054-x.pdf","citationCount":"0","resultStr":"{\"title\":\"Quantum-enriched large-eddy simulation with the incompressible Schrödinger flow\",\"authors\":\"Zishuo Han \\n (, ), Yue Yang \\n (, )\",\"doi\":\"10.1007/s10409-024-24054-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We propose a hybrid quantum-classical method, the quantum-enriched large-eddy simulation (QELES), for simulating turbulence. The QELES combines the large-scale motion of the large-eddy simulation (LES) and the subgrid motion of the incompressible Schrödinger flow (ISF). The ISF is a possible way to be simulated on a quantum computer, and it generates subgrid scale turbulent structures to enrich the LES field. The enriched LES field can be further used in turbulent combustion and multi-phase flows in which the subgrid scale motion plays an important role. As a conceptual study, we perform the simulations of ISF and LES separately on a classical computer to simulate decaying homogeneous isotropic turbulence. Then, the QELES velocity is obtained by the time matching and the spectral blending methods. The QELES achieves significant improvement in predicting the energy spectrum, probability density functions of velocity and vorticity components, and velocity structure functions, and reconstructs coherent small-scales vortices in the direct numerical simulation (DNS). On the other hand, the vortices in the QELES are less elongated and tangled than those in the DNS, and the magnitude of the third-order structure function in the QELES is less than that in the DNS, due to the different constitutive relations in the viscous flow and ISF.\\n</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>\",\"PeriodicalId\":7109,\"journal\":{\"name\":\"Acta Mechanica Sinica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.8000,\"publicationDate\":\"2024-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s10409-024-24054-x.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica Sinica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10409-024-24054-x\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica Sinica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10409-024-24054-x","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
摘要
我们提出了一种量子-经典混合方法,即量子富集大涡模拟(QELES),用于模拟湍流。量子富集大涡模拟(QELES)结合了大涡模拟(LES)的大尺度运动和不可压缩薛定谔流(ISF)的子网格运动。ISF 是在量子计算机上进行模拟的一种可能方式,它会产生子网格尺度的湍流结构,以丰富 LES 场。丰富的 LES 场可进一步用于湍流燃烧和多相流中,其中亚网格尺度运动起着重要作用。作为概念性研究,我们在经典计算机上分别进行了 ISF 和 LES 模拟,以模拟衰减的均质各向同性湍流。然后,通过时间匹配和频谱混合方法获得 QELES 速度。QELES 在预测能谱、速度和涡度分量的概率密度函数以及速度结构函数方面有显著改进,并能在直接数值模拟(DNS)中重建相干的小尺度涡。另一方面,由于粘性流和 ISF 的构成关系不同,QELES 中的涡没有 DNS 中的那么细长和纠结,QELES 中的三阶结构函数的大小也小于 DNS。
Quantum-enriched large-eddy simulation with the incompressible Schrödinger flow
We propose a hybrid quantum-classical method, the quantum-enriched large-eddy simulation (QELES), for simulating turbulence. The QELES combines the large-scale motion of the large-eddy simulation (LES) and the subgrid motion of the incompressible Schrödinger flow (ISF). The ISF is a possible way to be simulated on a quantum computer, and it generates subgrid scale turbulent structures to enrich the LES field. The enriched LES field can be further used in turbulent combustion and multi-phase flows in which the subgrid scale motion plays an important role. As a conceptual study, we perform the simulations of ISF and LES separately on a classical computer to simulate decaying homogeneous isotropic turbulence. Then, the QELES velocity is obtained by the time matching and the spectral blending methods. The QELES achieves significant improvement in predicting the energy spectrum, probability density functions of velocity and vorticity components, and velocity structure functions, and reconstructs coherent small-scales vortices in the direct numerical simulation (DNS). On the other hand, the vortices in the QELES are less elongated and tangled than those in the DNS, and the magnitude of the third-order structure function in the QELES is less than that in the DNS, due to the different constitutive relations in the viscous flow and ISF.
期刊介绍:
Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences.
Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences.
In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest.
Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics