Abstract: We describe two models for the growth of perturbations on the inner surface of a converging shell: one for a solid shell and one for a shell of incompressible fluid. We consider the cases of both cylindrically and spherically ...

Abstract: This paper extends the discussion of fully second-order-accurate, forward-in-time, finite-difference schemes for the advection equation with arbitrary forcing (which is viewed as a prototype for the prognostic equations ...

Abstract: Recently a new class of coarse-grained equations, known as α models, have been proposed for the mean motion of an ideal incompressible fluid. The use of one such model to represent the time-mean component of a turbulent ...

Abstract: A Cartesian, small- to mesoscale nonhydrostatic model is extended to a rotating mountainous sphere, thereby dispensing with the traditional geophysical simplifications of hydrostaticity, gentle terrain slopes, and weak ...

Abstract: A conservative forward-in-time numerical technique to improve the efficiency of a fully compressible wildfire model is presented. The technique is based on a method of averaging (MOA), which allows the costly advective ...

Abstract: The authors demonstrate the application of the volume of fluid (VOF) method, a specialized grid refinement technique, to the numerical simulation of clouds. In particular, it is shown that VOF eliminates most of the ...

Abstract: In this note, the authors address the practical issue of selecting appropriate stopping criteria for iterative solutions to the elliptic pressure equation arising in nonoscillatory, forward-in-time Eulerian and semi-Lagrangian ...