Kinetic equations occur in mesoscopic models for many physical phenomena. The direct solution of the kinetic equation is prohibitively expensive due to the high dimensionality of the space of independent variables. A viable alternative is to reformulate the problem in terms of the moments of the distribution function. Recently, a suite of quadrature-based moment methods has been developed for a...

It is well known that there is no local criterion to decide the linear readability of matroids or oriented matroids. We use the set-up of chirotopes or oriented matroids to derive a similar result in the context of convex polytopes. There is no local criterion to decide whether a combinatorial sphere is polytopal. The proof is based on a construction technique for rigid chirotopes. These corres...

We study the space of all extensions of a real hyperplane arrangement by a new pseudo-hyperplane, and, more generally, of an oriented matroid by a new element. The question whether this space has the homotopy type of a sphere is a special case of the “Generalized Baues Problem” of Billera, Kapranov & Sturmfels, via the Bohne-Dress Theorem on zonotopal tilings. We prove that the extension space ...

In the present study, we numerically investigated twin turbulent jets characteristics and quantities when a solid object is placed between two nozzles. The are assumed to be isothermal, incompressible fully developed. Turbulence modeled by k-e Realizable model. set of Reynolds averaged Navier Stokes equations solved iteratively Fluent software. numerical model validated with experimental result...