Grid independency Sample Clauses

Grid independency. (NCSRD/JRC)‌ The resolution of the computational mesh can affect the results. Therefore it is crucial that in the initial stages of any numerical investigation, including the validation, simulations with increasingly finer mesh resolution are performed until negligible differences in the target variables are reached (if computing power permits performing such simulations on a finer grid in a reasonable time). Usually at least three meshes (coarse, intermediate, and fine) are required in a mesh sensitivity analysis as this allows for the quantification of the numerical errors. The grid convergence index based on the Xxxxxxxxxx extrapolation (Xxxxxxxxxx 1911), (Xxxxxxxxxx and Xxxxx 1927) provides an estimate of the grid convergence error (Xxxxxx 1994). The relative error between results from different grids is a good indicator of grid independence (XXXXXX consortium, D3.2 2016). Ideally, the average length of the computational cells should be halved in each grid refinement. If this systematic refinement of the mesh is unfeasible because of the subsequent excessive simulation times, it is then recommended to refine the mesh according to the experience of the user, through an evaluation of the convergence of the simulations using the trends in the target variables (Andreani et al. 2008). The grid could be refined primarily in the regions where high gradients and complex phenomena are expected to appear. These regions are for example the area around the hydrogen source and around vents. When a full grid sensitivity study is not possible because of the large size of the mesh, an alternative partial indication of the quality of the grid can be estimated by using the same mesh with different order numerical schemes. If the results with the higher order schemes are similar to those with the first order scheme, the numerical diffusion due to the coarse grid can be said to be minimal (XXXXXX consortium, D3.2 2016). Grid sensitivity studies with Large Eddy Simulation models require a special treatment. As explained by (Gullbrand, 2002), when explicit filtering is used, the explicit filter width has to be kept constant while the computational grid is refined to obtain a grid-independent solution. With implicit filtering, since the filter is directly connected to the mesh resolution, the solution converges towards a direct numerical simulation (DNS) as the grid is refined, and not towards the filtered Navier-Xxxxxx equations (Gullbrand, 2002). It must also be emphasized...
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