Stream function coordinate Euler formulation and shocktube application

Formulation of Euler Fluid

The Hamiltonian formalism for the continuous media is constructed using the representation of Euler variables in C 2 × ∞ phase space.

Buoyant Convection Computed in a Vorticity, Stream-Function Formulation

Model equations describing large scale buoyant convection in an enclosure are formulated with the vorticity and stream function as dependent variables. The mathematical model, based on earlier work of the authors, is unique in two respects. First, it neglects viscous and thermal conductivity effects. Second the fluid is taken to be thermally expandable: large density variations are allowed whil...

A Conservative Meshless Scheme: General Order Formulation and Application to Euler Equations

In this paper, we present a mesh-free, finite-volume-like scheme designed for numerically solving conservation laws. We first derive a conservative formulation for computing mesh-free first derivatives based on a set of unknown coefficients satisfying polynomial consistency and other conditions. This formulation leads to a generalization that allows flexible choices of flux schemes while remain...

Laminated Composite Shell Element Using Absolute Nodal Coordinate Formulation and Its Application to Ancf Tire Model

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...