We propose and analyze a hybrid discontinuous Galerkin method for the solution of incompressible flow problems, which allows to deal with pure Stokes, pure Darcy, and coupled Darcy-Stokes flow in a unified manner. The flexibility of the method is demonstrated in numerical examples.

On Schwarz's domain decomposition methods for elliptic boundary value problems, submitted for publication, 1996. 6. M. J. Lai and P. Wenston, Bivariate spline method for numerical solution of steady state Navier-Stokes equations over polygons in stream function formulation, submitted, 1997. Bivariate spline method for numerical solution of time evolution Navier-Stokes equations over polygons in

The additive turbulent decomposition (ATD) method is a computational scheme for solving the Navier–Stokes equations and related nonlinear dissipative evolution equations. It involves a decomposition of the Navier–Stokes equation into equations for largeand small-scale components similar in spirit, but different in details, to the nonlinear Galerkin methods proposed by Temam and coworkers. In th...

A new fourth order compact formulation for the steady 2-D incompressible Navier-Stokes equations is presented. The formulation is in the same form of the Navier-Stokes equations such that any numerical method that solve the Navier-Stokes equations can easily be applied to this fourth order compact formulation. In particular in this work the formulation is solved with an efficient numerical meth...

We present a new enriched Galerkin (EG) scheme for the Stokes equations based on piecewise linear elements velocity unknowns and constant pressure. The proposed EG method augments conforming space by adding an additional degree of freedom which corresponds to one discontinuous basis function per element. Thus, total number degrees is significantly reduced in comparison with standard conforming,...

A novel method to improve the accuracy of fiber-optic distributed-temperature measurements derived from Raman backscatterings is presented. This method utilizes two light sources with different wavelengths, such that the wavelength of the primary source's return anti-Stokes component overlaps with the incident wavelength of the secondary light source to cancel out the nonidentical attenuations ...