DNS 1-2 Computational Details: Difference between revisions
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== Spatial and temporal resolution, grids == | == Spatial and temporal resolution, grids == | ||
The domain is discretised into <math>62\times29\times60< | The domain is discretised into <math>62\times29\times60</math> hexahedral elements. For a polynomial order of 5, this yields 174 solution points in the transverse direction and about <math>23\times10^6</math> in total. An explicit RK45 scheme is used to advance the solution in time. The order of accuracy of the solution changes a function of time, as discussed in [https://www.sciencedirect.com/science/article/pii/S0010465514002549#s000065 Witherden et al. (2014)]. The grid used for the simulations is available on the [http://kbwiki-data.s3-eu-west-2.amazonaws.com/DNS-1/2/Channel_180/Channel-180.pyfrm ERCOFTAC database]. | ||
<!-- Discuss the resolution of the simulation. If possible, relate it to the spectral accuracy. Indicate the | <!-- Discuss the resolution of the simulation. If possible, relate it to the spectral accuracy. Indicate the | ||
dependence of the formal accuracy of the code to the quality of the mesh. Discuss the procedure for the a priori estimation of the grid resolution. Finally, provide the grids used for the study. --> | dependence of the formal accuracy of the code to the quality of the mesh. Discuss the procedure for the a priori estimation of the grid resolution. Finally, provide the grids used for the study. --> | ||
Revision as of 08:13, 6 October 2021
Computational Details
Computational approach
The computations are performed using PyFR version 1.12.0, a python based framework for solving advection-diffusion type problems using the Flux Reconstruction approach of Huynh. The details of the numerical approach are available here.
Spatial and temporal resolution, grids
The domain is discretised into hexahedral elements. For a polynomial order of 5, this yields 174 solution points in the transverse direction and about in total. An explicit RK45 scheme is used to advance the solution in time. The order of accuracy of the solution changes a function of time, as discussed in Witherden et al. (2014). The grid used for the simulations is available on the ERCOFTAC database.
Computation of statistical quantities
Describe how the averages and correlations are obtained from the instantaneous results and how
terms in the budget equations are computed, in particular if there are differences to the proposed
approach in Introduction.
Contributed by: Lionel Agostini — Imperial College London
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