{"title":"用于具有移动边界和界面的流固耦合问题的统一更新拉格朗日平滑粒子流体力学","authors":"","doi":"10.1016/j.apm.2024.115661","DOIUrl":null,"url":null,"abstract":"<div><p>Fluid-structure interaction (FSI), as a two-phase flow problem, is widely encountered in engineering, which often involves large deformation and moving boundaries and interfaces. The finite particle method (FPM) originated from smoothed particle hydrodynamics (SPH) is one of the most common meshfree particle methods, and is more accurate than conventional SPH. In this paper, based on the virtual work principle, a unified updated Lagrangian FPM framework is proposed by which both fluid and solid are discretized simultaneously. A gradient-free form of artificial pressure dissipation is used in fluid models for pressure oscillation problems. An additional artificial stiffness is introduced to control the numerical instability due to rank-deficiency in solid models. Considering FSI problem, the solid particles regarded as dummy particles are introduced into the governing equations of fluid. This technique can avoid arrangement and updating of dummy particles, and allows a convenient handling of the FSI problems with a complex moving interface. The interface force is formed by a force-pair to ensure momentum conservation. Finally, four FSI numerical tests from different degrees of tracking interface are performed to demonstrate that the method in this work can effectively handle the FSI problem with complex geometrical and moving interfaces. In particular, it is effective in the FSI cases with low and medium Reynolds number.</p></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":null,"pages":null},"PeriodicalIF":4.4000,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0307904X24004141/pdfft?md5=389cda03b9bc1e374fcbab033e6e9a21&pid=1-s2.0-S0307904X24004141-main.pdf","citationCount":"0","resultStr":"{\"title\":\"A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces\",\"authors\":\"\",\"doi\":\"10.1016/j.apm.2024.115661\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Fluid-structure interaction (FSI), as a two-phase flow problem, is widely encountered in engineering, which often involves large deformation and moving boundaries and interfaces. The finite particle method (FPM) originated from smoothed particle hydrodynamics (SPH) is one of the most common meshfree particle methods, and is more accurate than conventional SPH. In this paper, based on the virtual work principle, a unified updated Lagrangian FPM framework is proposed by which both fluid and solid are discretized simultaneously. A gradient-free form of artificial pressure dissipation is used in fluid models for pressure oscillation problems. An additional artificial stiffness is introduced to control the numerical instability due to rank-deficiency in solid models. Considering FSI problem, the solid particles regarded as dummy particles are introduced into the governing equations of fluid. This technique can avoid arrangement and updating of dummy particles, and allows a convenient handling of the FSI problems with a complex moving interface. The interface force is formed by a force-pair to ensure momentum conservation. Finally, four FSI numerical tests from different degrees of tracking interface are performed to demonstrate that the method in this work can effectively handle the FSI problem with complex geometrical and moving interfaces. In particular, it is effective in the FSI cases with low and medium Reynolds number.</p></div>\",\"PeriodicalId\":50980,\"journal\":{\"name\":\"Applied Mathematical Modelling\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.4000,\"publicationDate\":\"2024-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0307904X24004141/pdfft?md5=389cda03b9bc1e374fcbab033e6e9a21&pid=1-s2.0-S0307904X24004141-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematical Modelling\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0307904X24004141\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Modelling","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0307904X24004141","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces
Fluid-structure interaction (FSI), as a two-phase flow problem, is widely encountered in engineering, which often involves large deformation and moving boundaries and interfaces. The finite particle method (FPM) originated from smoothed particle hydrodynamics (SPH) is one of the most common meshfree particle methods, and is more accurate than conventional SPH. In this paper, based on the virtual work principle, a unified updated Lagrangian FPM framework is proposed by which both fluid and solid are discretized simultaneously. A gradient-free form of artificial pressure dissipation is used in fluid models for pressure oscillation problems. An additional artificial stiffness is introduced to control the numerical instability due to rank-deficiency in solid models. Considering FSI problem, the solid particles regarded as dummy particles are introduced into the governing equations of fluid. This technique can avoid arrangement and updating of dummy particles, and allows a convenient handling of the FSI problems with a complex moving interface. The interface force is formed by a force-pair to ensure momentum conservation. Finally, four FSI numerical tests from different degrees of tracking interface are performed to demonstrate that the method in this work can effectively handle the FSI problem with complex geometrical and moving interfaces. In particular, it is effective in the FSI cases with low and medium Reynolds number.
期刊介绍:
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.