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A locally conservative, discontinuous least-squares finite element method for the Stokes equations

International Journal for Numerical Methods in Fluids

Bochev, Pavel B.; Lai, James; Olson, Luke

Conventional least-squares finite element methods (LSFEMs) for incompressible flows conserve mass only approximately. For some problems, mass loss levels are large and result in unphysical solutions. In this paper we formulate a new, locally conservative LSFEM for the Stokes equations wherein a discrete velocity field is computed that is point-wise divergence free on each element. The central idea is to allow discontinuous velocity approximations and then to define the velocity field on each element using a local stream-function. The effect of the new LSFEM approach on improved local and global mass conservation is compared with a conventional LSFEM for the Stokes equations employing standard C 0 Lagrangian elements. © 2011 John Wiley & Sons, Ltd.

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TYPE Conference YEAR 2012
ScopusOSTI
Results 7351–7375 of 9,998
Results 7351–7375 of 9,998