The volume contained within any closed, simple, piece-wise smooth boundary can be determined by integrating over the boundary a function whose only parameters are the principal boundary curvatures and the distance to the medial manifold. The method is an extension of the common concept of mining rights, by which the interior of the earth is parceled out to patches of real estate on the surface....

Recent high-resolution large-eddy simulations (LES) of a stable atmospheric boundary layer (SBL) with mesh sizes N=(5123,10243,20483) or spacings ▵=(0.78,0.39,0.2) m are analyzed. The LES solutions judged to be converged based on the good collapse vertical profiles mean winds, temperature, and low-order turbulence moments, i.e., fluxes variances, increasing N. largest discrepancy is in stably s...

The acoustic wave equation on the whole three-dimensional space is considered with initial data and inhomogeneity having support in a bounded domain, which need not be convex. We propose and study a numerical method that approximates the solution using computations only in the interior domain and on its boundary. The transmission conditions between the interior and exterior domain are imposed b...

High resolution simulations of ocean turbulence with Rossby number of order one have revealed that upper layer dynamics significantly differs from the interior dynamics. As reported before, upper layer dynamics is characterized with shallow velocity spectrum corresponding to kinetic energy distributed over a spectral range from mesoscales to small scales. This dynamics is driven by small-scale ...

The flow in an enclosed completely filled rapidly rotating cylinder that is driven by the differential corotation of the top lid is studied numerically. Although the flow is in a very simple geometry, the fast background rotation and large differential rotation of the lid lead to very thin boundary layers with a variety of instability modes with very fine spatial scales as well as inertial wave...

We investigate representations of the conformal group that describe “massless” particles in the interior and at the boundary of anti-de Sitter space. It turns out that massless gauge excitations in anti-de Sitter are gauge “current” operators at the boundary. Conversely, massless excitations at the boundary are topological singletons in the interior. These representations lie at the threshold o...

Experimental data from four field campaigns are used to explore the variability of the bulk Richardson number of the entire planetary boundary layer (PBL), Ribc, which is a key parameter for calculating the PBL height (PBLH) in numerical weather and climate models with the bulk Richardson number method. First, the PBLHs of three different thermally stratified boundary layers (i.e., strongly sta...