Efficient solvers for incompressible fluid flows in geosciences

Incompressible Non-Newtonian Fluid Flows

A non-Newtonian fluid is a fluid whose flow properties differ in many ways from those of Newtonian fluids. Most commonly the viscosity of non-Newtonian fluids is not independent of shear rate or shear rate history. In practice, many fluid materials exhibits non-Newtonian fluid behavior such as: salt solutions, molten, ketchup, custard, toothpaste, starch suspensions, paint, blood, and shampoo e...

A Parallel Solver for Incompressible Fluid Flows

The Navier-Stokes equations describe a large class of fluid flows but are difficult to solve analytically because of their nonlinearity. We present in this paper a parallel solver for the 3-D Navier-Stokes equations of incompressible unsteady flows with constant coefficients, discretized by the finite difference method. We apply the prediction-projection method which transforms the Navier-Stoke...

Efficient FEM Solvers for Incompressible Nonlinear Flow Models

We present special numerical techniques for non-Newtonian flows including non-isothermal, shear/pressure dependent and particularly viscoelastic effects which are based on the logconformation reformulation (LCR), including Oldroyd-B and Giesekus-type fluids as prototypical models. We utilize a fully coupled monolithic finite element approach which treats the velocity, pressure, temperature and ...

Efficient Solvers for Incompressible Flow Problems: An Algorithmic Approach . . .

A nine-node quadrilateral FCBI element for incompressible fluid flows

We propose a nine-node ow-condition-based interpolation (FCBI) nite element for the analysis of 2D incompressible ows. Emphasis in the FCBI approach is on obtaining an element that is stable and can be used in rather coarse meshes even when considering high Reynolds number ows. The formulation of the element is presented and the results obtained in the solution of some test cases are given. Cop...