In the present work, a meshless method called Finite Point Method (FPM) is developed to simulate the solidification process of a continuously cast steel bloom in both primary and secondary cooling regions. The method is based on the use of a weighted least-square interpolation procedure. A transverse slice of the bloom moving at casting speed is considered as the computational domain and two di...

The finite volume method combines the advantage of the finite element method and the finite difference method, while overcoming their shortcomings. This paper describes the development of the finite volume method and the process of using finite volume method for fluid calculations. Finally, this paper introduces the process of using improved finite volume method for solving the flow equations o...

This paper presents a robust finite volume shock-capturing scheme based on the rotated approximate Riemann solver. A general framework for constructing the rotated Riemann solver is described and a rotated Roe scheme is discussed in detail. It is found that the robustness of the rotated shock-capturing scheme is closely related to the way in which the direction of upwind differencing is determi...

Volume free electron laser uses volume distributed feedback (VDFB), which can essentially reduce the threshold current of generation and provides the possibility of smooth frequency tuning. An undulator VFEL is considered.

In this paper we count the number of cusps of minimal non-compact finite volume arithmetic hyperbolic 3-orbifolds. We show that for each N , the orbifolds of this kind which have exactly N cusps lie in a finite set of commensurability classes, but either an empty or an infinite number of isometry classes.

Article history: Received 28 March 2008 Available online 13 November 2008 Submitted by J. Guermond

In this paper we will show that on any complete noncompact Riemannian manifold with a finite volume there exist uncountably many geodesic loops of arbitrarily small length.