The Variational Multiscale Element Free
Galerkin Method For The Simulation Of
Power-law Fluid Flows
Author(s)
Xiaohua Zhang & Ping Zhang
Abstract
In this work, the variational multiscale element free Galerkin method is used for
the solution of incompressible generalized Newtonian fluid flow. In order to
correct the lack of stability of the standard Galerkin formulation of the Navier-
Stokes equations, the velocity field is decomposed into coarse and fine scales
first, and then a model for the fine scale velocity is introduced, in the process, the
stabilization parameter has appeared naturally via the solution of the fine scale
problem. From the viewpoint of the application, the presented method can
employ an equal order basis for pressure and velocity that is easy to implement
but avoid the restriction of the Babuska-Brezzi condition. Two benchmark
problems named Poiseuille flow and lid-driven cavity flow for the power-law are
solved and the numerical results confirm that this method has better stability and
accuracy.
Keywords: variational multiscale, generalized Newtonian fluid, power-law fluid,
element free Galerkin method.
Keywords
variational multiscale, generalized Newtonian fluid, power-law fluid,
element free Galerkin method
Related Book
Other papers in this volume
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