Consistent inlet and outlet boundary conditions for particle methods

Summary In this paper, simple and consistent open boundary conditions are presented for the numerical simulation of viscous incompressible laminar flows. The present approach is based on an arbitrary Lagrangian‐Eulerian particle method using upwind interpolation. Three kinds of inlet/outlet boundary...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2020-01, Vol.92 (1), p.1-19
Main Authors: Hu, Fangyuan, Wang, Zidi, Tamai, Tasuku, Koshizuka, Seiichi
Format: Article
Language:English
Subjects:
Boundary conditions
Computational fluid dynamics
Computer simulation
Finite element method
Finite volume method
Fluid flow
Incompressible flow
inlet
Inlets (waterways)
Interpolation
Laminar flow
LSMPS
Mathematical models
Numerical stability
open boundary condition
outlet
particle method
Particle methods (mathematics)
Velocity
Velocity distribution
Velocity profiles
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Summary:Summary In this paper, simple and consistent open boundary conditions are presented for the numerical simulation of viscous incompressible laminar flows. The present approach is based on an arbitrary Lagrangian‐Eulerian particle method using upwind interpolation. Three kinds of inlet/outlet boundary conditions are proposed for particle methods, a pressure specified inlet/outlet condition, a velocity profile specified inlet/outlet condition, and a fully developed flow outlet condition. These inlet/outlet conditions are realized by using boundary particles and modification to the physical value such as velocity. Poiseuille flows, flows over a backward‐facing step, and flows in a T‐shape branch are calculated. The results are compared with those of mesh‐based methods such as the finite volume method. The method presented herein exhibits accuracy and numerical stability. In this paper, simple and consistent open boundary conditions are presented for the numerical simulation of laminar flows. Three kinds of inlet/outlet boundary conditions are proposed for particle methods, a pressure specified inlet/outlet condition, a velocity profile specified inlet/outlet condition, and a fully developed flow outlet condition. Poiseuille flows, flows over a backward‐facing step, and flows in a T‐shape branch are calculated compared with mesh‐based methods. The method presented herein exhibits accuracy and numerical stability.
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.4768