We show that a 6-regular graph of diameter d embedded on the torus can have at most 3d + 3d+ 1 vertices having exhibited a graph of this order for each d ≥ 1. 1 6-regular Toroidal Graphs In [1] it is proven that all 6-regular toroidal graphs can have their vertices arranged in a rectangular based grid structure with parallel diagonals across every sub-rectangle in the grid. A special case of th...

Unresolved pressure fluctuations at the sub-grid scale (SGS) level of large eddy simulation (LES) or Reynolds-averaged Navier–Stokes computations affect cavitation inception predictions, as SGS low pressures are simply ignored. We present a framework to take unresolved flow into account. Representing canonical turbulence, in this paper, homogeneous isotropic turbulence (HIT), fluctuations, and ...

The eco-hydrological model SWAT (Soil and Water Assessment Tool) is a useful tool to simulate the effects of catchment processes and water management practices on the water cycle. For each catchment some model parameters (e.g. ground water delay time, ground water level) remain constant and therefore are used as constant values; other parameters such as soil types or land use are spatially vari...

This paper considers the relationship between request distribution and replica distribution in data grid when request exhibits arbitrary clustered demands. We first give formal model of replication strategies in data grid system. Second, we investigate what is optimal way at the objective of minimizing average access latency to replicate data when request exhibits arbitrary clustered demands. W...

We propose a fast and effective technique to improve sub-grid visual details of the grid based fluid simulation. Our method procedurally synthesizes the flow fields coming from the incompressible Navier-Stokes solver and the vorticity fields generated by vortex particle method for sub-grid turbulence. We are able to efficiently animate smoke which is highly turbulent and swirling with small sca...

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