Sentence examples for using a spatial discretisation from inspiring English sources

The input continuous problem is analysed using a spatial discretisation procedure.

The most detailed tyre/road contact models use a spatial discretisation of the contact and assume an interfacial stiffness to account for the small-scale roughness within the elements.

A spatial discretisation scheme using biorthogonal wavelets is presented and is applied to a test problem involving flame propagation in a representative fuel air mixture, in which the chemistry is treated using a standard four-step reduced reaction mechanism.

Various representations of the structural behaviour of these beams are given in closed form which can also be used to benchmark available modelling techniques, i.e. finite element and finite difference formulations, which require a spatial discretisation to be specified as well as the time discretisation to perform a time analysis.

As F ¯ n is essentially a piecewise constant approximation to F, the resulting equations for the mean correspond to a spatial discretisation of the Wilson Cowan equation, cf. the continuum limit in the derivation of the mean field equation in [5].

Using this spatial discretisation together with a second order Strang time-splitting method, we illustrate the scheme on a number of 2D and 3D computations of the ground state of a non-rotating and rotating condensate.

All models use the same spatial discretisation for the exchange of data (1 × 1 km grid cells) but are using different time steps.

The terms resulting from the fourth-order discretisation that involve an extended computational molecule are treated explicitly in a deferred correction manner, and the coefficients are calculated using a second-order discretisation, thus maintaining a compact computational molecule involving only the nearest neighbours.

The continuous equations are approximated using a finite volume discretisation on staggered grids with a flux-limited monotonic scheme for the advective terms.

We find that the numerical stability of the system is enhanced when using an upwinded discretisation for (partial_{i}phi).

The mathematical system of equations is numerically implemented using standard methods for spatial discretisation and time advancement.