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6 For scale-resolving simulations (such as LES and DNS), statistics for a simulation are more often u…
10 Denote $\langle \phi \rangle$ as the Reynolds average of $\phi$, which in this case would be a aver…
22 The function $\langle \phi \rangle (x,y)$ is represented on a 2-D finite element grid, taken from t…
26 Define a function space on the parent grid as $\mathcal{V}_p^\mathrm{parent} = \{ \bm v(\bm x) \in …
38 The projection of a function $u$ onto the parent FEM space would look like:
57 To do this efficiently, **we assume and exploit the full domain grid to be a tensor product in the …
62 To calculate the temporal integral, we do a running average using left-rectangle rule.
63 At the beginning of each simulation, the time integral of a statistic is set to 0, $\overline{\phi}…
75 where the integral $\int_{T_0}^{T_f} \phi(x,y,z,t) \mathrm{d}t$ is calculated on a running basis.
82 As the simulation runs, it takes a running time average of the statistics at the full domain quadra…
108   - Number of frames written per CGNS file if the CGNS file name includes a format specifier (`%d`).
178 …a symmetric positive-definite rank 2 tensor defining the width of the filter, $\bm{D}$ is the filt…
193 It is common to denote a filter width dimensioned relative to the radial distance of the filter ker…
195 For example, under this definition a box filter would be defined as:
240 The wall-normal filter width is allowed to be damped to a zero filter width.
254 While we define $\bm{D}\bm{\Delta}$ to be of a certain physical filter width, the actual width of t…
256 To match the "size" of a normal kernel to our differential kernel, we attempt to have them match se…
308 Data-analysis, including training of machine-learning models, normally uses *a priori* (already gat…
309 …rows and the data that is saved to disk reduces to a small percentage of the total data generated …
314 HONEE will periodically place data into an in-memory database and a separate process can then read …
317 More information about how to utilize this code in a SmartSim configuration can be found on [SmartS…
320 To use HONEE in a SmartSim *in situ* setup, HONEE must be built with SmartRedis enabled.
327 …either be colocated with the compute hardware or be located on separate nodes of a compute cluster.
383 Both the inputs and outputs are computed from a filtered velocity field, which is calculated via {r…
394 The database may also be located on the same node as a MPI rank (collocated) or located on a separa…