A parallel, implicit, cell‐centered method for two‐phase flow with a preconditioned Newton–Krylov solver

A new parallel solution technique is developed for the fully implicit three‐dimensional two‐phase flow model. An expandedcell‐centered finite difference scheme which allows for a full permeability tensor is employed for the spatial discretization, and backwardEuler is used for the time discretization. The discrete systems are solved using a novel inexact Newton method that reuses the Krylov information generated by the GMRES linear iterative solver. Fast nonlinear convergence can be achieved by composing inexact Newton steps with quasi‐Newton steps restricted to the underlying Krylov subspace. Furthermore, robustness and efficiency are achieved with a line‐search backtracking globalization strategy for the nonlinear systems and a preconditioner for each coupled linear system to be solved. This inexact Newton method also makes use of forcing terms suggested by Eisenstat and Walker which prevent oversolving of the Jacobian systems. The preconditioner is a new two‐stage method which involves a decoupling strategy plus the separate solutions of both nonwetting‐phase pressure and saturation equations. Numerical results show that these nonlinear and linear solvers are very effective.     

Paleoindian bison procurement and paleoenvironments in Middle Park of Colorado

The Upper Twin Mountain Site, located within a geologic slump scar at 2548 m altitude, provides significant information on Paleoindian bison procurement. As the highest known Paleoindian bison bone bed, the site contained the partial skeletal remains of at least 15 adult Late Pleistocene bison (B. antiquus), Goshen projectile points, and debitage. Radiocarbon dates of 10,240±70 and 10,470±50 yr B.P. place Upper Twin Mountain midway between the northern Plains Goshen and southern Plains Plainview sites. With a late fall or early winter mortality of the bison and the presence of only local stone, year round occupation of Middle Park is indicated. Analysis of the geology, soil, and pollen, from the archaeological and nonarchaeological deposits at the Upper Twin Mountain and elsewhere in the region are used to describe the paleoenvironmental conditions in Middle Park. © 1999 John Wiley & Sons, Inc.