We provide the first a priori error analysis of a hybridizable discontinuous Galerkin (HDG) method for solving the vorticity-velocity-pressure formulation of the three-dimensional Stokes equations of incompressible fluid flow. By using a projection-based approach, we prove that, when all the unknowns use polynomials of degree k ≥ 0, the L2 − norm of the errors in the approximate vorticity and p...

It is shown how to discretize the pressure gradient in the Navier{ Stokes equations on an arbitrary non-uniform curvilinear staggered grid, such that the error is zero for constant pressure gradient. A theoretical foundation is given for a discretization proposed in 2] on empirical grounds. A quite similar approach is used to discretize a diffusion equation with strongly discontinuous diiusion ...

We extend the Explicit Jump Immersed Interface Method (EJIIM) to stationary two phase Stokes equations with discontinuous viscosity. As the underlying finite difference method the discretization in velocity and pressure variables is used on a staggered grid. The resulting algorithm converges with second order in velocity and first in pressure. The iteration count for solving the resulting linea...

In the present study, Adaptive Neuro–Fuzzy Inference System (ANFIS) approach was applied for predicting the heat transfer and air flow pressure drop on flat and discontinuous fins. The heat transfer and friction characteristics were experimentally investigated in four flat and discontinuous fins with different geometric parameters including; fin length (r), fin interruption (s), fin pitch (p), ...