We propose and prove convergence of a front tracking method for scalar conservation laws with source term. The method is based on writing the single conservation law as a 2 × 2 quasilinear system without a source term, and employ the solution of the Riemann problem for this system in the front tracking procedure. In this way the source term is processed in the Riemann solver, and one avoids usi...

A simple shock-capturing approach to multicomponent flow problems is developed for the compressible Euler equations with a stiffened gas equation of state in multiple space dimensions. The algorithm uses a quasi-conservative formulation of the equations that is derived to ensure the correct fluid mixing when approximating the equations numerically with interfaces. A γ -based model and a volume-...

1474-0346/$ see front matter 2011 Elsevier Ltd. A doi:10.1016/j.aei.2011.07.006 ⇑ Corresponding author. Tel.: +1 734 763 2148; fax E-mail address: [email protected] (M. Akula). This paper presents research that investigated and implemented a hybrid integrated location tracking framework that was developed by integrating infrastructure based positioning systems and inertial navigation. The auth...

This paper presents a conservative front-tracking method for shocks and contact discontinuities that is second-order accurate. It is based on a volume-of-fluid method that treats the moving front with concepts similar to those of an embedded-boundary method. Special care is taken in the centering of the data to ensure the right order of accuracy at the front, and a redistribution step guarantee...

The advantage of front tracking over capturing methods for the numerical simulation of discontinuity surfaces in fluid flow is to eliminate the numerical diffusion of mass across a fluid interface. For accurate modeling of an interface between miscible fluids, however, physical mass diffusion may be significant, and must be added to the calculation. The main purpose of this paper is to introduc...

Background and Objectives: Efficient cost management in hospitals’ pharmaceutical inventories have the potential to remarkably contribute to optimization of overall hospital expenditures. To this end, reliable forecasting models for accurate prediction of future pharmaceutical demands are instrumental. While the linear methods are frequently used for forecasting purposes chiefly due to their si...