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The formulation, accuracy, and efficacy of data assimilative models are highly dependent upon the quality and quantity of interdisciplinary observational data.
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The new formulation improves accuracy.
In so doing, the generic OBR formulation separates accuracy considerations from the enforcement of physical properties.
The formulation offers accuracy in numerical solution by avoiding numerical diffusion resulting from mixing of fluxes in the Eulerian description.
An auxiliary variable projection method is applied to this formulation, and accuracy is achieved by combining a fourth-order finite-volume spatial discretization with a fourth-order temporal scheme based on spectral deferred corrections.
The obtained data shows that the methods can be applied to dosage formulations with accuracy and precision (Table?5).
Decreasing the temporal resolution in this problem formulation increases the accuracy, since there are more self-transitions.
A new renormalization-based formulation involving wide accuracy improvements of the scheme is introduced.
The FE simulations were repeated without hourglass control, and the results clearly showed that the hourglass control formulation increases the accuracy of the model.
It is shown that in some cases of interest the alternative formulation yields better accuracy and involves less computational work than the traditional solution method.
A general XFEM formulation, with tested accuracy and performance, is presented due to its intrinsic capability to handle problems with discontinuities, such as cracks.
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CEO of Professional Science Editing for Scientists @ prosciediting.com