Chapter II. Incompressible Flows in Magneto-Fluid Dynamics

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...

Parallel computational magneto-fluid dynamics

In a Priority Program on Massively Parallel Computing, eight Dutch research groups (http://www.phys.uu.nl/~mpr/) cooperate since 1995 to develop new algorithms and software to simulate the non-linear dynamics of thermonuclear, geo-physical, and astrophysical plasmas. As one result of this collaboration, the general-purpose Versatile Advection Codemonstrated excellent scaling properties across a...

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...

Chapter 1 Relativistic Fluid Dynamics

Interfacial gauge methods for incompressible fluid dynamics

Designing numerical methods for incompressible fluid flow involving moving interfaces, for example, in the computational modeling of bubble dynamics, swimming organisms, or surface waves, presents challenges due to the coupling of interfacial forces with incompressibility constraints. A class of methods, denoted interfacial gauge methods, is introduced for computing solutions to the correspondi...