This paper is the initial investigation into a new Lagrangian cell-centered hydrodynamic scheme that is motivated by the desire for an algorithm that resists mesh imprinting and has reduced complexity. Key attributes of the new approach include multidimensional construction, the use of flux-corrected transport (FCT) to achieve second order accuracy, automatic determination of the mesh motion th...

In this paper, an object-oriented and quadrilateral-mesh based solution adaptive algorithm for the simulation of compressible multi-fluid flows is presented. The HLLC scheme (Harten, Lax and van Leer approximate Riemann solver with the Contact wave restored) is extended to adaptively solve the compressible multi-fluid flows under complex geometry on unstructured mesh. It is also extended to the...

The goal of the present paper is to investigate the approximation properties of a new class of L-minimization techniques for approximating stationary HamiltonJacobi equations in one space dimension. Most approximation algorithms of Hamilton-Jacobi equations are based on monotonicity and Lax-Friedrichs approximate Hamiltonians, see e.g. Kao, Osher, and Tsai [13]. Monotonicity is very often invok...

We present a numerical algorithm to implement entropy-based (MN ) moment models in the context of a simple, linear kinetic equation for particles moving through a material slab. The closure for these models—as is the case for all entropy-based models—is derived through the solution of constrained, convex optimization problem. The algorithm has two components. The first component is a discretiza...

In this paper which is an extended version of an article submitted to the Finite Volumes for Complex Applications V conference, we design a finite-volume based numerical scheme for the solution of the nonlinear balance equations of RNG variants of the well-known k − ε model and the v − f system encountered in the k − ε− v − f model which can be seen as an extension of first order turbulence mod...

As top predators of pelagic food webs, marine birds naturally bioaccumulate essential and nonessential elements. Levels of arsenic (As), cadmium (Cd), copper (Cu), iron (Fe), mercury (Hg), manganese (Mn), selenium (Se) and zinc (Zn) were determined in the liver, kidneys and muscles of three species of marine birds found on Réunion Island: Barau’s Petrel (Pterodroma baraui), Audubon’s Shearwater...