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A mixed galerkin method for computing the flow between eccentric rotating cylinders
Author(s) -
Kim E.
Publication year - 1998
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/(sici)1097-0363(19980430)26:8<877::aid-fld628>3.0.co;2-6
Subject(s) - basis function , mathematics , galerkin method , basis (linear algebra) , spline (mechanical) , incompressible flow , compressibility , diagonal , convergence (economics) , mathematical analysis , flow (mathematics) , finite element method , geometry , mechanics , physics , economics , thermodynamics , economic growth
A mixed Galerkin technique with B‐spline basis functions is presented to compute two‐dimensional incompressible flow in terms of the primitive variable formulation. To circumvent the Babuska–Brezzi stability criterion, the artificial compressibility formulation of the equation of mass conservation is employed. As a result, the diagonal components of the matrix form in the governing equations are not singular. The B‐spline basis is used because it is superior to other splines in providing computer solutions to fluid flow problems. One of the advantages of the B‐spline basis is that it has excellent approximation properties. Numerical examples of applications of the mixed formulation are presented to demonstrate the convergence characteristics and accuracy of the present formulation. © 1998 John Wiley & Sons, Ltd.