Sentence examples for step limitation from inspiring English sources

Many petroleum reservoir simulation problems have regions of fast flow away from sharp fronts, which means that this time step limitation makes explicit schemes less efficient than the best implicit methods.

The results demonstrate that the proposed method significantly mitigates the time step limitation, reduces the computational cost because only one Poisson equation is required to be solved, and preserves the second-order temporal accuracy for velocity, pressure, and temperature.

The proposed SL DG method is free of time step restriction compared with the Runge Kutta DG method, which is known to suffer from numerical time step limitation with relatively small CFL numbers according to linear stability analysis.

We will show that this provides an attractive spatial discretization for explicit integration methods, as it can greatly reduce the time step limitation incurred by the pole singularity when using a latitude-longitude grid only.

When time step limitation plays no significant role, the standard (reduced) latitude-longitude grid is advocated provided that the grid is kept sufficiently fine in the polar region to resolve flow over the poles.

We have implemented this scheme in conjunction with spectral discretizations, which suffer from serious time step limitations at very high resolution.

We present numerical evidence suggesting that the Boltzman transport correction, in its current form, significantly improves time step limitations but does not guarantee adherence to the maximum principle for frequency-dependent simulations.

Analysis of the linear stability of the scheme reveals that the Courant–Friedrichs Lewy condition on the time step associated with gravity and acoustic waves can be circumvented and the maximum stable time step can be brought into closer agreement with the time step limitations arising from accuracy considerations.

When the considered flow is highly dissipative, this otherwise very attractive method faces a serious time-step limitation.

A method is then presented to alleviate the time-step limitation resulting from explicit time integration near cylindrical origin, when finite differences are used.

The convective terms in the wall-normal direction were treated implicitly to remove the time-step limitation associated with the use of fine meshes in the near-wall region for high Reynolds number viscous flows.