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STEADY VISCOELASTIC FLOW PAST A SPHERE USING SPECTRAL ELEMENTS
Author(s) -
OWENS R. G.,
PHILLIPS T. N.
Publication year - 1996
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19960515)39:9<1517::aid-nme915>3.0.co;2-n
Subject(s) - deborah number , spectral element method , viscoelasticity , finite element method , flow (mathematics) , spectral method , partial differential equation , mathematics , mathematical analysis , resolution (logic) , mechanics , mixed finite element method , geometry , computer science , physics , thermodynamics , artificial intelligence
The steady flow of a viscoelastic fluid past a sphere in a cylindrical tube is considered. A spectral element method is used to solve the system of coupled non‐linear partial differential equations governing the flow. The spectral element method combines the flexibility of the traditional finite element method with the accuracy of spectral methods. A time‐splitting algorithm is used to determine the solution to the steady problem. Results are presented for the Oldroyd B model. These show excellent agreement with the literature. The results converge with mesh refinement. A limiting Deborah number of approximately 0⋅6 is found, irrespective of the spatial resolution.