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Simulation of 3D Flows of Incompressible Viscous Fluids Using PFEM-2 Method on GPU.

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Title: Simulation of 3D Flows of Incompressible Viscous Fluids Using PFEM-2 Method on GPU.
Authors: Popov, A.1 (AUTHOR) andreyypopov@bmstu.ru
Source: Technical Physics. May2026, Vol. 71 Issue 5, p282-293. 12p.
Subjects: Three-dimensional flow, CUDA (Computer architecture), Iterative methods (Mathematics), Finite element method, Incompressible flow
Abstract: A solver for simulation of 2D and 3D flows of incompressible viscous fluids using the Particle Finite Element Method is presented. We consider a Eulerian–Lagrangian approach called PFEM-2 instead of purely Lagrangian PFEM. A detailed description of the numerical method and its algorithm is given. Both solution using finite element method on a fixed Eulerian grid and operations with particles are covered. Implementation of the algorithm presented in this paper is done for graphics processing units using NVIDIA CUDA technology. The solver performs all the operations on GPU without any copy to CPU, except for data export. To our knowledge this is the first GPU implementation of the PFEM-2 method. Quantitative and qualitative results are given for test problems of 3D flows past a sphere and a NACA-0012 airfoil of finite thickness. The solver is also shown to be several times faster on a single GPU as opposed to a cluster with several CPUs. The source code is available online and does not include any third-party software apart from libraries of the NVIDIA CUDA Toolkit. [ABSTRACT FROM AUTHOR]
Copyright of Technical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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PubType: Academic Journal
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  Data: Simulation of 3D Flows of Incompressible Viscous Fluids Using PFEM-2 Method on GPU.
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  Data: <searchLink fieldCode="AR" term="%22Popov%2C+A%2E%22">Popov, A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> andreyypopov@bmstu.ru</i>
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  Data: <searchLink fieldCode="JN" term="%22Technical+Physics%22">Technical Physics</searchLink>. May2026, Vol. 71 Issue 5, p282-293. 12p.
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  Data: <searchLink fieldCode="DE" term="%22Three-dimensional+flow%22">Three-dimensional flow</searchLink><br /><searchLink fieldCode="DE" term="%22CUDA+%28Computer+architecture%29%22">CUDA (Computer architecture)</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Incompressible+flow%22">Incompressible flow</searchLink>
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  Data: A solver for simulation of 2D and 3D flows of incompressible viscous fluids using the Particle Finite Element Method is presented. We consider a Eulerian–Lagrangian approach called PFEM-2 instead of purely Lagrangian PFEM. A detailed description of the numerical method and its algorithm is given. Both solution using finite element method on a fixed Eulerian grid and operations with particles are covered. Implementation of the algorithm presented in this paper is done for graphics processing units using NVIDIA CUDA technology. The solver performs all the operations on GPU without any copy to CPU, except for data export. To our knowledge this is the first GPU implementation of the PFEM-2 method. Quantitative and qualitative results are given for test problems of 3D flows past a sphere and a NACA-0012 airfoil of finite thickness. The solver is also shown to be several times faster on a single GPU as opposed to a cluster with several CPUs. The source code is available online and does not include any third-party software apart from libraries of the NVIDIA CUDA Toolkit. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Technical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1134/S1063784226700271
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      – Code: eng
        Text: English
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        PageCount: 12
        StartPage: 282
    Subjects:
      – SubjectFull: Three-dimensional flow
        Type: general
      – SubjectFull: CUDA (Computer architecture)
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Incompressible flow
        Type: general
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      – TitleFull: Simulation of 3D Flows of Incompressible Viscous Fluids Using PFEM-2 Method on GPU.
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              Text: May2026
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              Y: 2026
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