Abstract The calculation of fusion reactivity involves a complex six-dimensional integral that takes into account the cross section and velocity distributions two reactants. However, more simplified one-dimensional form can be useful in certain cases, such as for studying yield or diagnosing ion energy spectra. This simpler has been derived few special combination Maxwellian distributions, beam...

The present paper aims to derive a partial differential equation (PDE) for the single-time single-point probability density function (PDF) of velocity field turbulent flow. PDF PDE is highly non-linear parabolic-transport equation, which depends on two conditional statistical numerics important physical significance. general form classical Reynolds mean flow (O. Reynolds, Philos. Trans. R. Soc....

We have studied the problem of uncertainty quantification for migrated images. A traditional migrated image contains deterministic reconstructions of subsurface structures. However, input parameters used in migration, such as reflection data and a velocity model, are inherently uncertain. This uncertainty is carried through to the migrated images. We have used Bayesian analysis to quantify the ...

[1] Using high resolution simulations of eight welldocumented cloud cases in different climate regimes, this study investigated the statistical distributions of dynamic and thermodynamic variables in the cloud layer and examined various assumptions used by the current statistical cloud schemes. It is found that dynamic and thermodynamic variables skew differently in the cloud layer of shallow c...