New mimetic discretizations of diffusion-type equations (for instance, equations modeling single phase Darcy flow in porous media) on unstructured polygonal meshes are derived. The first order convergence rate for the fluid velocity and the second-order convergence rate for the pressure on polygonal, locally refined and non-matching meshes are demonstrated with numerical experiments.

Representation and modeling of economic uncertainty is addressed by different modeling methods, namely stochastic variables and probabilities, interval analysis, and fuzzy numbers, in particular triple estimates. Fo-cusing on discounted cash flow analysis numerical results are presented, comparisons are made between alter-native modeling methods, and characteristics of the methods are discussed.

Modern computational fluid dynamics simulations are capable of the detailed simulation of fluid flow. The output data sets of these simulations are very large and information rich. The importance of data visualization is clearly recognized for the presentation of these data sets. For gaining new insight in the nature of flow, interactive visualization methods are essential. The goal of our work...

The modeling of various types of free surface flow is presented, ranging from incompressible Newtonian flows, to non-Newtonian viscous ice flows. A numerical method for the simulation of such flows that relies on an Eulerian approach based on the volume-of-fluid formulation is advocated. A

changes of hydrodynamic parameters in microchannel branches affect the suspended biological samples in blood. to prevent denaturation and hemolysis, we have numerically investigated the effect of divergence angle on shear rate and velocity at branch entrance (discharge rate), under electroosmotic flow. in such flow, hydrodynamic properties are also affected by zeta potential at the microchannel...

Adaptive numerical methods offer greater efficiency than traditional numerical methods by concentrating computational effort in regions of the problem domain where the solution is difficult to obtain. In this paper, we describe progress toward adding mesh refinement to MPSalsa, a computer program developed at Sandia National Laboratories to solve coupled three-dimensional fluid flow and detaile...

The problem of traffic congestion is becoming endemic due to increased levels of populations owning automobiles. In an effort to minimize congestion, an accurate method for modeling the flow of traffic is imperative. While randomized microscopic models can be very accurate, they are computationally much slower than macroscopic models. Furthermore, macroscopic models can be very accurate in mode...