Second DA Challenge Case 3: Results

This page presents published results for Case 3 of the 2nd DA Challenge. 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
  • temperature

All quantities are dimensionless, with reference values taken as Vinf = 0.295 m/s for the velocity, Vinf/D (with D = 0.2 m the domain length) for the vorticity, and Vinf2/D for the acceleration. For pressure and temperature, 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, pressure and temperature 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. Temp. bias Temp. corr. coef. Temp. random error
NIPA Penn State -0.0105 0.0235 -0.709 1.30 0.00232 0.172 0.231 -0.294 0.19 0.0561
RBC-PINN DLR -0.00591 0.0186 -0.672 1.24 -0.00104 0.00485 0.987 -0.00354 0.931 0.0444
ppp: 0.01
Algorithm Institution Vel. bias Vel. random error Vort. bias Vort. random error Pres. bias Pres. random error Pres. corr. coef. Temp. bias Temp. corr. coef. Temp. random error
NIPA Penn State -0.00309 0.0112 -0.416 0.96 0.00266 0.0128 0.866 0.0199 0.932 0.0287
RBC-PINN DLR -0.00113 0.00486 -0.156 0.45 0.00377 0.00483 0.972 -0.00626 0.962 0.0311
ppp: 0.05
Algorithm Institution Vel. bias Vel. random error Vort. bias Vort. random error Pres. bias Pres. random error Pres. corr. coef. Temp. bias Temp. corr. coef. Temp. random error
NIPA Penn State -0.00282 0.00855 -0.286 0.74 0.00402 0.0337 0.49 -0.055 0.808 0.0295
RBC-PINN DLR -0.000451 0.00297 -0.0649 0.26 0.00417 0.00347 0.978 0.00221 0.971 0.0266

2nd DA Challenge Case 3 results