Nevertheless, it is interesting to outline that, given k=80, n=100, and w c =3 (values used in the simulations), the refinement time, calculated as the average time for 50 matrices, is 69.1476 ms. Whereas, the original H matrix creation time is 0.0615 ms. The time measurements are implemented in C++, and they have been carried out in a PC with an Intel Core i7-3540 @ 3 GHz.
In the case of 1b2 and 1c2, the lack of both major unit cell expansion and reduction to P21 symmetry allowed a refinement time of a few hours instead of weeks.
The influence of different simulation parameters (grid refinement, time-step size, turbulence modelling) is analyzed, in particular in order to obtain flow solutions independent of spatial and temporal discretization.
DOI: http://dx.doi.org/10.7554/eLife.06664.009 From our analysis of the 80S yeast ribosome, we extrapolated the processing times and combined them with previously published 3D refinement times to estimate typical costs on Amazon's EC2.
Numerical techniques, such as adaptive mesh refinement, implicit time integration, and separate treatment of fast physical time scales are enabling improved accuracy and fidelity in simulation of dynamics and allowing more complete representations of climate features at the global scale.
We employ adaptive mesh refinement, implicit time stepping, a nonlinear multigrid solver and parallel computation to solve a multi-scale, time dependent, three dimensional, nonlinear set of coupled partial differential equations for three scalar field variables.
Though they are the most sensational dancers in ballet today, they are by no means the most refined, and they are showing signs of caring less rather than more about refinement as time passes.
While they succeeded to an extent, it's important to remember this is still 1.0 technology and it's going to require refinement over time.
Examples are solved, verifying mesh refinement and time step influence in the results and comparing the techniques, giving better results to the proposed ones.
Because of refinement in time, additional steps are taken to accurately discretize the advection and projection operators at grid refinement boundaries using composite operators which span the coarse and refined grids.
Both models contain fine scale structures and are stiff in the sense that even though the unsteadiness of the flows are rapidly developing, extreme grid refinement and time step restrictions are needed to resolve all the flow scales as well as the chemical reaction scales.
