Smooth ramp results: the uPDE code

The results from the uPDE solver developed in the Bermejo-Moreno group at the University of Southern California are shown here.

uPDE implements an unstructured finite-volume solver with nominally second-order accuracy and low-dissipation numerics. The Vreman subgrid SGS model with original model coefficient of C=0.07 was used in these simulations, along with a standard equilibrium wall-model based on Kawai & Larsson (2012) was used. For every wall boundary face, the exchange location is taken as the closest cell centroid to a specified exchange height \(h_{\rm wm}=0.1\delta_{\rm ref} = 0.0028L\). A four-stage, fourth-order Runge-Kutta time-stepping method was used to advance in time. The inflow turbulence was generated by a digital filtering method.

The full results considered at the 2024 workshop are available here. Below are some key plots. In addition to those base results, two different variations were considered:

Incoming boundary layer development on the finest grid, showing that the boundary layer is fully developed.
Incoming boundary layer at \(x/L=-0.62\), showing quite good convergence to the DNS results.
\(U=0\) contours.
Friction coefficient.
Boundary layer thicknesses.