Sentence examples for introduces additional terms from inspiring English sources

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The BGK approximation to the Boltzmann equation introduces additional terms in the transport of momentum and energy.

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For instance, starting with the Lagrangian for a free electron, the requirement of local gauge invariance can only be fulfilled by introducing additional terms, namely those for the electromagnetic field.

Furthermore, introducing additional terms into a search can increase the risk of retrieving irrelevant citations.

We also examined the effect of introducing additional terms in the denominator of the function defining y, such as the product u × y.

The hydrodynamic lubricant film formed between the gear teeth under light impact loads behaves as a nonlinear spring-damper mechanism, whilst the inclusion of the shafts' bearing compliances introduces additional nonlinear terms, which are modelled as piecewise linear functions.

Viscoelasticity necessitates the application of the stick-zone boundary condition in convolved form, and also introduces additional convolved gap terms in the governing equations, which are not present in the elastic case.

Derivation of the volume-averaged porous flow equations introduces additional porous resistance terms to the momentum equation.

This approach dramatically reduces effort and improves linkage quality, as the same data are not required to be re-linked over and over with the impact of quality intervention and clerical review is not lost [ 26]; however, this introduces additional challenges in terms of the volume, speed and quality of matches and the management of associated linkage keys over time is itself complex.

In particular, the viscous term introduces additional dissipation which controls the incoming convective energy.

By introducing additional dissipation terms into the numerical flux, the new scheme, called AUSM+-up, can be applied to both liquid and gas flows.

In order to overcome the ill-posedness of the optimization problem (5) and to assure smooth solutions, we introduce additional regularization terms.

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