High-speed fluid dynamics in magnetic reconnection

In this paper, we report on numerical simulations of incompressible MagnetoHydroDdynamic flows by a two dimensional finite difference scheme associated to an appropriate projection method performed to characterize velocity-pressure formulations along the specified MHD duct by solving the set

Abstract. Euler equations of incompressible fluids use and en-rich many branches of mathematics, from integrable systems to geometric analysis. They present important open physical and mathematical problems. Examples include the stable statistical behavior of ill-posed free surface problems

ABSTRACT. By means of a direct approach, a complete set of conservation laws for incompressible fluids is determined. The problem is solved in the material (Lagrangian) description and the results are eventually rewritten in the spatial (Eulerian} formulation. A new infinite family of conservation

Abstract. We study the decay rate for incompressible fluids on various do-mains. By considering the heat equation we estimate the decay for the Stokes equations. Since the Stokes equations are the linear version of the Navier-Stokes equations, by comparing those two equations we can estimated

A basic aspect of the kinetic descriptions of incompressible fluids based on an inverse kinetic approaches is the possibility of satisfying an H-theorem. This property is in fact related to the identification of the kinetic distribution function with a probability density in an appropriate phase

incompressible fluids

In this article we derive Fokker- Planck equation for incompressible fluid and investigate its properties

ABSTRACT: Due to the large size of high-dimensional datasets that result from contemporary computational flow simulations, the classification and visualization of features is an essential, though challenging task for proper scientific analysis. We present a visualization system based on first-order fuzzy logic, that allows to convert natural language statements involving multiple scalar properties into well defined features which can be used for that allows to define and combine multiple feature criteria as logic visualization using geometric primitives in conjunction with the underlying flow field. A feature criterion can be defined as an atomic point predicate, which can be understood as a function, that maps all data points of a dataset to a Boolean value. Boolean algebra can then be used to combine these atomic predicates to define more complex ones. The combination of several feature criteria to one characteristic subset can be used to build one single geometric isosurface representation of several features, and thus, significantly reduce the amount of graphical primitives needed to display all features separately, minimizing clutter and occlusion. Further, the created subset can be utilized for particle seeding, with the aim to show the behavior of the flow in the surrounding area. We evaluate the positive and negative aspects of two different types of logical operators for the example of different simulation datasets and several feature criteria. 1

We consider the reconstruction of obstacles inside a bounded domain filled with an incompressible fluid. Our method relies on special complex geometrical optics solutions for the stationary Stokes equation with a variable viscosity.