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Consistent inlet and outlet boundary conditions for particle methods
Author(s) -
Hu Fangyuan,
Wang Zidi,
Tamai Tasuku,
Koshizuka Seiichi
Publication year - 2020
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4768
Subject(s) - inlet , mechanics , laminar flow , boundary value problem , mathematics , finite volume method , hagen–poiseuille equation , flow (mathematics) , physics , mathematical analysis , geology , geomorphology
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.