Second DA Challenge Case 1: Time-Resolved results

This page presents published results for the Time-Resolved case of 2nd DA Challenge Case 1. The link for result submission, as well as details about the test case and rules for result formatting are given there.

Tables can be ordered according to each of the quantities reported. Clicking on an algorithm name in a table will open a page gathering its result, together with information on the submitter.

Definition of performance metrics

Below, in both the tables and the figures, we provide the bias and random error for:

  • the velocity vector magnitude
  • the vorticity vector magnitude
  • pressure

All quantities are dimensionless, with reference values taken as Vinf = 0.2 m/s for the velocity, Vinf/D (with D = 0.1 m the channel half-width) for the vorticity, and Vinf2/D for the acceleration. For pressure, we also provide the correlation coefficient between submitted result and ground truth.

Below the tables, several groups of figures compare these quantities among participants, as well as obtained streamwise velocity spectra. Additionally, several groups of figures show error slices of streamwise velocity, vorticity and pressure at a selected test point.

ppp: 0.001
Algorithm Institution Vel. bias Vel. random error Vort. bias Vort. random error Pres. bias Pres. random error Pres. corr. coef.
AU_PINN Auburn University -0.0119 0.0647 -3.51 7.44 0.00847 0.0126 -0.0439
MTA Dantec Dynamics -0.021 0.0812 -2.85 7.15 0.0195 0.0123 -0.196
NIPA Penn State -0.00355 0.0575 -3.11 5.85 0.138 0.0309 -0.365
S-O ONERA 0.00885 0.0832 -1.3 6.77 -0.0117 0.0148 0.414
TSA TU Delft -0.075 0.111 -3.67 8.78 0.00548 0.0132
TUB_PINN TU Berlin / TU Delft / Tohoku University -0.0079 0.0741 -2.53 6.94 -0.0861 0.0484 0.376
ppp: 0.01
Algorithm Institution Vel. bias Vel. random error Vort. bias Vort. random error Pres. bias Pres. random error Pres. corr. coef.
DLR_PINN DLR 0.0133 0.0485 -0.438 7.53 0.0386 0.0163 0.866
MTA Dantec Dynamics -0.00461 0.0433 -2.1 5.66 0.0536 0.0114 -0.112
S-O ONERA 0.00918 0.06 -1.58 6.22 0.031 0.0154 0.932
ppp: 0.05
Algorithm Institution Vel. bias Vel. random error Vort. bias Vort. random error Pres. bias Pres. random error Pres. corr. coef.
DLR_PINN DLR 0.027 0.0167 -0.285 4.18 -0.00412 0.0155 0.469
MTA Dantec Dynamics -0.00174 0.0238 -1.35 3.90 0.00671 0.00944 0.775
S-O ONERA 0.00469 0.0392 -1.69 5.00 -0.0226 0.0112 0.564
TSA TU Delft -0.0228 0.068 -3.1 6.66 0.00581 0.0168
ppp: 0.2
Algorithm Institution Vel. bias Vel. random error Vort. bias Vort. random error Pres. bias Pres. random error Pres. corr. coef.
AU_PINN Auburn University -0.00114 0.0201 -2.02 3.66 0.0106 0.0147 0.75
MTA Dantec Dynamics -0.000938 0.0166 -0.967 3.73 0.0209 0.00761 0.588
TSA TU Delft -0.0253 0.0732 -3.05 7.34 0.0226 0.0142
TUB_PINN TU Berlin / TU Delft / Tohoku University -0.000536 0.0181 -1.71 4.14 0.0206 0.00919 0.652

2nd DA Challenge Case 1 TR results