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The analytical solutions of the wind field, as a sum of gradient and frictional wind components, were derived based on a height-resolving scheme using the updated pressure field.
Detailed comparison with the second-order scheme shows the clear superiority of this new fourth-order scheme in resolving both the boundary layers and the gross features of the flow.
It is concluded that a proper combination of non-linear filter and dispersive numerical scheme is a viable alternative to dissipative schemes in resolving flows with sharp gradients and discontinuities.
To address this challenge, we present a novel adaptive scheme for resolving the deporalization front accurately using adaptivity in space.
A better compromise scheme for resolving the contradiction of polarized safety angle and transmittance was provided for the design of polarizing prism.
Validation studies illustrate significant reduction in grid requirements using the high-order scheme in resolving near-wall turbulence down to the Kolmogorov scale.
Safecharts incorporates ways to represent equipment failures and failure handling mechanisms and uses a safety-oriented classification of transitions and a safety-oriented scheme for resolving any unpredictable non-deterministic pattern of behaviour.
Two numerical examples for rupture of nematic liquid crystal filaments immersed in a viscous fluid matrix are given, illustrating the effectiveness of this new scheme in resolving complex interfacial phenomena in free surface flows of nematic liquid crystals.
The numerical results show that the ENO-Padé scheme is an excellent compromise of the available schemes for resolving profiles over flow discontinuities while maintaining accurate flow structures in smooth regions.
Moreover, the proposed scheme resolves the early error floor problem, which is a drawback of the FC scheme.
The effective resolution of a numerical scheme describes the smallest spatial scale (largest wavenumber) that is completely resolved by that scheme.
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