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According to previous studies, the Cartesian grid method can accurately generate the turbulent structures in the urban canopy, whereas the unstructured grid method can reproduce detailed patterns of the near-wake flows around a specified building inside a densely built-up area.
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Three different grid situations are considered so that the best optimization results with the grid based method can be obtained to compare with the unrestricted coordinate method more convincingly.
The one-dimensional grid search method can be formulated as the mapping f : R1→R1 such that L ≤ x opt 1 ≤, ⋯, ≤ x opt n ≤ U, where x opt 1, ⋯, x opt n are the 'n' test points [33].
There are other algorithms such as tessellation and Voronoi grid methods which can be attributed to this class.
In contrast to conventional exhaustive grid search, this method can be treated as a deterministic analog of random search.
By introducing generalized natural coordinates and the tree data structure for the spherical geodesic grid, the Lagrange Galerkin method can be used for solving practical problems on the sphere more accurately than current methods, yet requiring less computer time.
Based on grid technology, the proposed method can provide a flexible root model which can be easily coupled with soil processes.
This will be discussed in greater detail in section 4. Sub-grid modelling methods can be contrasted with another kind of parallel multiscale model where the sub-grid algorithms are more theoretically principled, but are motivated by a theory at a different level of description.
Marginalization of the nuisance parameters using the separable least squares principle leads to a NLS cost function of only two unknowns (horizontal position), where global grid-based methods can be used for minimization.
Power grid islanding, as an emergency control operation method, can divide power grids into several self-sufficient islands and can then avoid wide-area blackouts.
The adaptive grid method including the multigrid calculations can be extended to several levels of refinement.
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