To ensure the sufficient accuracy of the solution, the workspace in our case is divided into 1,028,519 cells of the grid (which corresponds to 1,473,273 nodes of a hexagonal grid).
For each point in the resulting 41×41 grid, which corresponds to a concrete game, 100 realizations were performed to obtain an average value of the asymptotic density of cooperators.
We manipulated the location of the arrow cue so that it was presented in the center of a randomly determined square on the grid, which corresponded to the locations and probabilities described in the previous section.
Therefore, the first 360 jobs start their computation on the cluster system almost immediately after being submitted to the grid engine, which corresponds to an input data transfer rate from the workstation to the cluster system of approximately 50 jobs/minute.
The two-dimensional space was separated into 162 grids at intervals of 20 degrees as shown in Figure 2. We considered two more grids, which correspond to (W h, W e, W s) = (0, 0, 1) and (W h, W e, W s) = (0, 0, −1), because when the zenith angle is 0 or 180, namely W s = 1 or −1, respectively, the azimuth angle cannot be defined.
The accuracy of the simulation is dependent on the number of discrete points that the surface is sampled at, defined by the grid size n, which corresponds to the FFT indices k x and k y. Figure 5 shows the global error, or the difference between the final converged wavelength, and the analytical result, for different grid sizes.
The grids are made of graphite with a grid aperture of 180 mm, which corresponds with FWHM of the beam.
A remarkable amount of energy release appears in the northeastern source-grids after the April 16 event, which corresponds to the remotely triggered seismicity at Aso district and Oita prefecture.
We compute with the first order MLMC-FV-IFCP method with (L = 4) levels of resolution and (M_{4} = 16) samples for the highest level, which corresponds to the grid of 4,611,072 cells and constitutes the finest mesh.
The resolution of the spectral grid in the model was 1 cm−1, which corresponds to a wavelength resolution of Δλ=2.5×10−5 μm at λ=0.5 μm.
A five-terminal MTDC grid is selected as a study-case system, which corresponds to the planning for the future interconnection of Aegean Sea islands with significant wind potential to the mainland grid.
