Sentence examples for been utilized to numerically from inspiring English sources

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Finite element analysis has been utilized to numerically model the residual stress distribution in a graded nickel Al2O3 joint, primarily for the purpose of optimizing the architecture of the interface to resist failure.

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Finally, the pseudo arc-length continuation method is utilized to numerically solve the set of nonlinear algebraic parameterized equations.

The precise integration method in conjunction with the extended Wittrick-Williams algorithm is utilized to numerically solve these equations to obtain the frequencies of structures.

The Navier Stocks equation is numerically solved, and volume of fluid (VOF) method has been utilized to simulate two-phase fluid (water and air).

Four different swirl intensities are utilized to study experimentally and numerically the effect of swirl number on the transient regression, ignition of the solid fuel in a hot-oxidizing flow and combustion phenomenon in the SFRJ.

In order to validate the advantages of the proposed approach in the wide-speed range, the SST k w turbulence model is utilized to investigate the flow field characteristics numerically on different flow conditions.

Under sinusoidal excitation, the equation of motion of the system is solved numerically and the solution is utilized to estimate the system transmissibility.

Cross-sectional concentration distributions and particle trajectories are utilized to examine the flow characteristics inside the curved microchannel numerically.

PCR amplifications were utilized to close gaps.

In order to evaluate the effectiveness of the control action in both passive and semi-active case, an energy index EDI, previously defined and already often applied numerically, has been utilized.

The proposed model is then utilized to simulate numerically the system transient and steady state response under different operating and design conditions.

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