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Stabilized finite element method for flows with multiple reference frames
Author(s) -
Pauli L.,
Both J. W.,
Behr M.
Publication year - 2015
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.4032
Subject(s) - finite element method , interpolation (computer graphics) , galerkin method , degrees of freedom (physics and chemistry) , computational fluid dynamics , mathematics , generality , computer science , mathematical analysis , frame (networking) , engineering , physics , mechanics , structural engineering , psychology , telecommunications , quantum mechanics , psychotherapist
Summary We present a space‐time finite element method capable of dealing with flows in multiple co‐rotating reference frames. Since equal order interpolation is used for all degrees of freedom, Galerkin/least‐squares stabilization is applied. We give a detailed derivation of the equations involved, introduce the variational form, present the stabilization parameters, and also discuss implementation issues. Numerical examples in 2D and 3D show generality and efficiency of the method, if steady‐state behavior of rotating components is sufficient for the CFD analysis. Copyright © 2015 John Wiley & Sons, Ltd.