Grid-Free Modelling Based on the Finite Particle Method for Incompressible Viscous Flow Problems
In this paper, we present a grid-free modelling based on the finite particle method for the numerical simulation of incompressible viscous flows. Numerical methods of interest are meshless Lagrangian finite point scheme by the application of the projection method for the incompressibility of the Nav...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/4610524 |
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| _version_ | 1849412293352226816 |
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| author | Yu Lu Ankang Hu Xin Chang Ziying Li Yabo Wei |
| author_facet | Yu Lu Ankang Hu Xin Chang Ziying Li Yabo Wei |
| author_sort | Yu Lu |
| collection | DOAJ |
| description | In this paper, we present a grid-free modelling based on the finite particle method for the numerical simulation of incompressible viscous flows. Numerical methods of interest are meshless Lagrangian finite point scheme by the application of the projection method for the incompressibility of the Navier–Stokes flow equations. The moving least squares method is introduced for approximating spatial derivatives in a meshless context. The pressure Poisson equation with Neumann boundary condition is solved by the finite particle method in which the fluid domain is discretized by a finite number of particles. Also, a continuous particle management has to be done to prevent particles from moving into configurations problematic for a numerical approximation. With the proposed finite particle technique, problems associated with the viscous free surface flow which contains the study on the liquid sloshing in tanks with low volumetric fluid type, solitary waves movement, and interaction with a vertical wall in numerical flume as well as the vortex patterns of the ship rolling damping are circumvented. These numerical models are investigated to validate the presented grid-free methodology. The results have revealed the efficiency and stability of the finite particle method which could be well handled with the incompressible viscous flow problems. |
| format | Article |
| id | doaj-art-63cd7a465eca4b9fbe80f2f6ff8f264d |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-63cd7a465eca4b9fbe80f2f6ff8f264d2025-08-20T03:34:29ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/46105244610524Grid-Free Modelling Based on the Finite Particle Method for Incompressible Viscous Flow ProblemsYu Lu0Ankang Hu1Xin Chang2Ziying Li3Yabo Wei4Naval Architecture and Ocean Engineering College, Dalian Maritime University, Dalian 116026, ChinaNaval Architecture and Ocean Engineering College, Dalian Maritime University, Dalian 116026, ChinaNaval Architecture and Ocean Engineering College, Dalian Maritime University, Dalian 116026, ChinaNaval Architecture and Ocean Engineering College, Dalian Maritime University, Dalian 116026, ChinaNaval Architecture and Ocean Engineering College, Dalian Maritime University, Dalian 116026, ChinaIn this paper, we present a grid-free modelling based on the finite particle method for the numerical simulation of incompressible viscous flows. Numerical methods of interest are meshless Lagrangian finite point scheme by the application of the projection method for the incompressibility of the Navier–Stokes flow equations. The moving least squares method is introduced for approximating spatial derivatives in a meshless context. The pressure Poisson equation with Neumann boundary condition is solved by the finite particle method in which the fluid domain is discretized by a finite number of particles. Also, a continuous particle management has to be done to prevent particles from moving into configurations problematic for a numerical approximation. With the proposed finite particle technique, problems associated with the viscous free surface flow which contains the study on the liquid sloshing in tanks with low volumetric fluid type, solitary waves movement, and interaction with a vertical wall in numerical flume as well as the vortex patterns of the ship rolling damping are circumvented. These numerical models are investigated to validate the presented grid-free methodology. The results have revealed the efficiency and stability of the finite particle method which could be well handled with the incompressible viscous flow problems.http://dx.doi.org/10.1155/2019/4610524 |
| spellingShingle | Yu Lu Ankang Hu Xin Chang Ziying Li Yabo Wei Grid-Free Modelling Based on the Finite Particle Method for Incompressible Viscous Flow Problems Shock and Vibration |
| title | Grid-Free Modelling Based on the Finite Particle Method for Incompressible Viscous Flow Problems |
| title_full | Grid-Free Modelling Based on the Finite Particle Method for Incompressible Viscous Flow Problems |
| title_fullStr | Grid-Free Modelling Based on the Finite Particle Method for Incompressible Viscous Flow Problems |
| title_full_unstemmed | Grid-Free Modelling Based on the Finite Particle Method for Incompressible Viscous Flow Problems |
| title_short | Grid-Free Modelling Based on the Finite Particle Method for Incompressible Viscous Flow Problems |
| title_sort | grid free modelling based on the finite particle method for incompressible viscous flow problems |
| url | http://dx.doi.org/10.1155/2019/4610524 |
| work_keys_str_mv | AT yulu gridfreemodellingbasedonthefiniteparticlemethodforincompressibleviscousflowproblems AT ankanghu gridfreemodellingbasedonthefiniteparticlemethodforincompressibleviscousflowproblems AT xinchang gridfreemodellingbasedonthefiniteparticlemethodforincompressibleviscousflowproblems AT ziyingli gridfreemodellingbasedonthefiniteparticlemethodforincompressibleviscousflowproblems AT yabowei gridfreemodellingbasedonthefiniteparticlemethodforincompressibleviscousflowproblems |