Sentence examples for closure approximation from inspiring English sources

To calculate (19) with the use of (9) (and with isotropic initial fiber orientation tensor (bar {boldsymbol {N}}(0))), a closure approximation is needed to approximate (bar {mathbb {N}}) based on (bar {boldsymbol {N}}) in each time step, since otherwise the expression (9) is undetermined.

In both cases it is shown that no more than the three lowest order product densities are necessary to approximate the cell age correlations when a closure approximation is used for calculating higher order total product densities.

The hierarchy is closed by making a standard closure approximation.

We propose a semi-analytical closure approximation to the stratified flow of two Herschel Bulkley fluids flowing along a circular pipe.

Our analytical solution is then used to investigate the accuracy and robustness of the recently proposed large-eddy diffusivity (LED) closure approximation [1].

The closure approximation of Baldyga, which is based on a prescribed form of the probability density function, is applied in modelling chemical reactions.

Moment closure approximations are used to provide analytic approximations to non-linear stochastic population models.

Existing closure approximations are often unable to describe transient aspects caused by extinction behaviour in a stochastic process.

Usually the only orientation data available is a and a first issue is to reconstruct A using closure approximations.

The level of detail retained in the chemical mechanism is novel in the present context and permits an assessment of the accuracy of other closure approximations.

In this study we address these problems by introducing novel second- and third-order moment closure approximations which we apply to the stochastic SI and SIS epidemic models.