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In Jensen's paper, the diffusion approximation is evaluated by performing a hierarchical summation of the contribution from all the irradiance samples.
The error arising from the approximation is evaluated by calculating a pair of vortex rings impinging to themselves.
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The approximation is evaluated in the near and farfield zone by comparison with rigorous solutions obtained from a boundary-integral equation scheme.
Body force g k is evaluated by Boussinesq approximation (4) [40]: {g}_k=rho left[1.0-beta left T-{T}_{mathrm{Ref}}right)right]g (4)where β, T Ref and g are the thermaleft T-{T}_{mathrm{ient, Ref}}righttemperight]gand gravity, respectively.
The aerodynamic force is evaluated by considering the first order high Mach number approximation to linear potential flow theory.
This is evaluated by colleges.
Goodness-of-fit is evaluated by using those fit indicators as well as the comparative fit index (CFI), nonnormed fit index (NNFI/TLI), and the root mean square error of approximation (RMSEA) [ 46, 47].
The inherent effect associated with the finite-sum and finite-difference approximations is evaluated for each of these probes by considering 1D sound fields in order to make a comparison of their performance.
Because the RMSE of sea surface temperature is as small as 0.7 K, errors in atmospheric data and model approximations and assumptions are evaluated by the comparison.
The elastic properties such as bulk modulus, Young's modulus are evaluated by Viogt Reuss Hill approximation.
Plane strain approximations for shearing with angled tools were evaluated by shear experiments of high accuracy.
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