A mixed galerkin method for computing the flow between eccentric rotating cylinders

✍ Scribed by E. Kim

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 158 KB
• Volume: 26
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19980430)26:8<877::aid-fld628>3.0.co;2-6

✦ Synopsis

A mixed Galerkin technique with B-spline basis functions is presented to compute two-dimensional incompressible ¯ow in terms of the primitive variable formulation. To circumvent the Babuska±Brezzi stability criterion, the arti®cial 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 ¯uid ¯ow 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.