Application of the Entropically Damped Artificial Compressibility model to direct numerical simulation of turbulent channel flow

For the first time, the EDAC model is assessed for the direct numerical simulation of wall-bounded turbulent flow requiring a non-uniform mesh. As a particular test case we have chosen the channel flow at the friction Reynolds numbers Reτ=180 and 395. A very good agreement with the reference data is obtained, as documented by the chosen one-point velocity statistics: the mean and r.m.s. profiles and the budgets of the Reynolds stresses. The use of the explicit time discretisation and local (rather than compact) spatial schemes results in easily and efficiently parallelisable solution algorithm. We achieved very high computational performance on a desktop computer when solving the EDAC equations using a code dedicated for the graphics processing unit (GPU). The aspects of the GPU implementation are discussed.