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 $62\times 29\times 60$ hexahedral elements. For a polynomial order of 5, this yields 174 solution points in the transverse direction and about $23\times 10^{6}$ in total. The grid is uniform in the spanwise and streamwise directions, but clustered near the walls in transverse direction.

An explicit RK45 scheme is used to advance the solution in time. The order of accuracy of the solution changes as 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

PyFR computes volumetric time average quantities by accumulating averages every 50 time steps over a prescribed time period, which is 100 time units for the channel flow simulations. The average calculation is started after 3000 convective time unit in windowed mode. The outputs from the different averaging windows are then combined together.

In the case of channel flow, averages are further reduced to one-dimensional data by spatial averaging in the homogeneous streamwise and spanwise directions.

Contributed by: Arun Soman Pillai, Lionel Agostini — Imperial College London

Front Page

Description

Computational Details

Quantification of Resolution

Statistical Data

Instantaneous Data

Storage Format