An explicit multi time stepping algorithm with applications to aerodynamic flows is presented. In the algorithm in different parts of the computational domain different time steps are taken, and the flow is synchronized at so-called synchronization levels. The algorithm is validated for aerodynamic turbulent flows. For two dimensional flows speedups in the order of five with respect to single t...

In this paper, we discuss a previously unknown selection principle of optimal viscous configurations for immiscible multi-fluid Hele-Shaw flows that have emerged from numerical experiments on threeand four-layer flows. Moreover, numerical investigation on four-layer flows shows evidence of four-layer systems which are almost completely stabilizing. Simple physical mechanisms that explain both o...

The classical two-phase flow model of Baer and Nunziato is generalized to a thermody-namic consistent multi-component model in multi dimensions. The extended model allowsto deal with phase transitions where exchange processes are modeled by relaxation terms.In particular, chemical relaxation is based on chemical potentials instead of Gibbs freeenergies. New procedures to det...

Simulating bubbly flows is a very popular topic in CFD. These bubbly flows are governed by the Navier-Stokes equations. In many popular operator splitting formulations for these equations, solving the linear system coming from the discontinuous Poisson equation takes the most computational time, despite of its elliptic origins. Sometimes these singular linear systems are forced to be invertible...

A novel finite-volume interface (contact) capturing method is presented for simulation of multi-component compressible flows with high density ratios and strong shocks. In addition, the materials on the two sides of interfaces can have significantly different equations of state. Material boundaries are identified through an interface function, which is solved in concert with the governing equat...

Cost Minimization in Multi−Commodity, Multi−Mode Generalized Networks with Time Windows. (December 2005) Ping-Shun Chen, B.S., National Chiao Tung University, Taiwan; M.S., National Chiao Tung University, Taiwan Chair of Advisory Committee: Dr. Alberto Garcia-Diaz The purpose of this research is to develop a heuristic algorithm to minimize total costs in multi-commodity, multi-mode generalized ...

This paper presents distributed algorithms for both radial and looped load flows for unbalanced, multi-phase power distribution systems. The distributed algorithms are developed from tree-based sequential algorithms. Formulas of scalability for the distributed algorithms are presented. It is shown that computation time dominates communication time in the distributed computing model. This provid...

New CO observations at the center of cooling flow in Perseus cluster [4] show a clear correlation of the molecular gas with the previously detected H-α filaments [1]. In this poster, we present high resolution multi-phase simulations of the Perseus Cluster, taking into account the AGN feedback in form of hot buoyant bubbles. These simulations show that significant amount of gas can cool far fro...

A constant-density approach, which corrects intermediate density errors by adjusting the half-time-step velocity with exact projection, is proposed for the multi-phase SPH method developed in our previous work (J. Comput. Physics, 227:264-278, 2007). As no prescribed reference pressure is required, the present approach introduces smaller numerical viscosity and allows to simulate flows with unp...