This article is a review of MPDATA, a class of methods for the numerical simulation of fluid flows based on the sign-preserving properties of upstream differencing. MPDATA was designed originally asâ€¦ (More)

We explore the utility of the recently proposed alpha equations in providing a subgrid model for fluid turbulence. Our principal results are comparisons of direct numerical simulations of fluidâ€¦ (More)

Implicit large eddy simulation (ILES) is a methodology for modeling high Reynoldsâ€™ number flows that combines computational efficiency and ease of implementation with predictive calculations andâ€¦ (More)

The goal of this paper is to construct discretizations for the equations of Lagrangian gas dynamics that preserve plane, cylindrical, and spherical symmetry in the solution of the originalâ€¦ (More)

Finite-scale equations (FSE) describe the evolution of finite volumes of fluid over time. We discuss the FSE for a one-dimensional compressible fluid, whose every point is governed by theâ€¦ (More)

In this article we describe two areas of recent progress in the construction of accurate and robust Â®nite diÂ€erence algorithms for continuum dynamics. The support operators method (SOM) provides aâ€¦ (More)

In this paper, we study the structure of a gaseous shock, and in particular the distribution of entropy within, in both a thermodynamics and a statistical mechanics context. The problem of shockâ€¦ (More)

In a classic paper, Morduchow and Libby use an analytic solution for the profile of a Navierâ€“Stokes shock to show that the equilibrium thermodynamic entropy has a maximum inside the shock. There isâ€¦ (More)