A special attention was paid to using of Relap5 for calculation of water hammer pressure surges and forces (including some aspects of influence of Courant number on the calculation results) and also the importance of considering the dynamic (or unsteady) friction models.
On the other hand, if ε = 1, the two amplification factors of the a-ε scheme become the same function of the Courant number and the phase angle.
The numerical truncation errors are defined using Peclet and Courant numbers and a new Sink/Source dimensionless number.
Furthermore, RK3 timeintegration is used with Courant number set to 0.4.
Both the accuracy and performance of the scheme are greatly improved by the use of large Courant–Friedrichs Lewy numbers for a shear flow test case and the scheme is shown to scale sublinearly with the number of tracers being advected, outperforming a standard flux corrected transport scheme for 10 or more tracers with a linear basis.
It shows optimal accuracy at Courant numbers of 10 20, more than an order of magnitude higher than explicit methods.
The operator-splitting errors could be decreased by constraining the time step using the performance index (the product of the grid Peclet and Courant numbers) during infiltration, or the maximum time step during evapotranspiration.
end{aligned} (43) An optimal value for α, achieving an isotropic numerical phase velocity, can be simply estimated as the mean value of α over the azimuthal angles, and it was found that it remains constant (approximately, 0.167) for a wide range of grid sizes, and it is insensitive to the value of the Courant number.
The proposed method improves the accuracy of the solution for small Courant numbers and intermediate waves associated with linearly degenerate fields (contact discontinuities, shear waves and material interfaces).
We explain their general behaviour with respect to element quality, and report the corresponding Courant numbers with both types of flux and polynomial order p ranging from 1 to 10, for use as guidelines in practical simulations.
