Premium
Comparison between the traction and pressure‐imposed boundary conditions in finite element flow analysis
Author(s) -
Yagawa Genki,
Eguchi Yuzuru
Publication year - 1987
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.1650070506
Subject(s) - traction (geology) , hagen–poiseuille equation , finite element method , mechanics , boundary value problem , flow (mathematics) , mathematics , different types of boundary conditions in fluid dynamics , boundary (topology) , inlet , boundary element method , boundary knot method , mathematical analysis , engineering , physics , structural engineering , mechanical engineering
A formulation is developed to impose pressure‐prescribed boundary conditions in the penalty finite element method. Some numerical experiments for the Poiseuille flow problem are performed to compare it with the conventional traction‐prescribed boundary condition. Also the incorrectness of the traction‐free outlet boundary condition for contained‐flows is studied with explanatory numerical examples. Discussion is focused on the inlet and outlet boundary conditions to simulate fully developed flows. Finally, the three‐dimensional flow in a bifurcated pipe is analysed with the proposed formulation.