This data set accompanies the manuscript ‘Velocity Field Estimation on Density-Driven Solute Transport With a Convolutional Neural Network’. Concentration fields are stored as portable pixel maps (.ppm) and flow fields are stored in the Middlebury .flo file format (http://vision.middlebury.edu/flow/code/flow-code/README.txt).

The data are organized in the following manner:

The synthetic data that is generated by the numerical simulation are contained in the ‘numerical_experiment’ zip-archive. The archive contains the training and validation data sets in ‘01_training_data_set’ that are used to train and validate the convolutional neural network. The files ‘img_pair_train_list.txt’ and ‘img_pair_validation_list.txt’ specify the image pairs and the corresponding true velocity fields of the training and validation data set respectively. The directory ‘velocity_field_estimation_on_validation_set’ contains the estimated velocity fields on the validation data set using the convolutional neural network. ‘02_test_data_set’ contains the test data set with the image pairs and the corresponding true velocity fields (also specified in ‘img_pair_test_list.txt’). The directory ‘velocity_field_estimation_on_test_set’ contains the estimated velocity fields on the test data set using the convolutional neural network. ‘03_propagated_concentration_fields’ contain conentration fields that are propagated by either the true or the estimated velocity fields.

The data of the laboratory experiment is contained in the ‘laboratory_experiment’ zip-archive. The directory ‘velocity_field_estimation_on_laboratory_experiment’ contains the estimated velocity fields on the laboratory experiment. The estimated velocity fields with time step index i is estimated between the concentrations fields with time step index i and index i+1.

The following overview specifies the data underlying the figures in the publication:

Figure 2: numerical_experiment /01_training_data_set/0002436_Ra4000_c_h0.ppm numerical_experiment /01_training_data_set/0002436_Ra4000_v_h.flo numerical_experiment/01_training_data_set/velocity_field_estimation_on_validation_set/0002436_FlowNet2-s_edit_ver_13_iter_120000.flo

Figure 3: numerical_experiment/02_test_data_set/0000511_Ra5750_c_h0.ppm numerical_experiment/02_test_data_set/0000511_Ra5750_v_h.flo numerical_experiment/02_test_data_set/velocity_field_estimation_on_test_set/0000511_FlowNet2-s_edit_ver_13_iter_120000.flo

Figure 4: all files in numerical_experiment/01_training_data_set/velocity_field_estimation_on_validation_set all files in numerical_experiment/02_test_data_set/velocity_field_estimation_on_test_set

Figure 5: same files as Figure 2

Figure 6: same files as Figure 3

Figure 7: numerical_experiment/03_propagated_concentration_fields/0002391_Ra4000_c_h0_true_concentration_step_01.ppm numerical_experiment/03_propagated_concentration_fields/0002391_Ra4000_c_h0_true_concentration_step_03.ppm numerical_experiment/03_propagated_concentration_fields/0002391_Ra4000_c_h0_true_concentration_step_10.ppm numerical_experiment/03_propagated_concentration_fields/0002391_Ra4000_c_h0_propagated_with_estimated_flow_step_01.ppm numerical_experiment/03_propagated_concentration_fields/0002391_Ra4000_c_h0_propagated_with_estimated_flow_step_03.ppm numerical_experiment/03_propagated_concentration_fields/0002391_Ra4000_c_h0_propagated_with_estimated_flow_step_10.ppm laboratory_experiment/propagated_concentration_fields/25_conc_field_0025_true_concentration_step_01.ppm laboratory_experiment/propagated_concentration_fields/26_conc_field_0025_true_concentration_step_02.ppm laboratory_experiment/propagated_concentration_fields/29_conc_field_0025_true_concentration_step_05.ppm laboratory_experiment/propagated_concentration_fields/25_conc_field_0025_propagated_with_estimated_flow_step_01.ppm laboratory_experiment/propagated_concentration_fields/26_conc_field_0025_propagated_with_estimated_flow_step_02.ppm laboratory_experiment/propagated_concentration_fields/27_conc_field_0025_propagated_with_estimated_flow_step_03.ppm

Figure 8: laboratory_experiment/conc_field_0029.ppm laboratory_experiment/flow_field_estimation_on_laboratory_experiment/conc_field_0029_v_h.flo

Figure 9: all files in laboratory_experiment/propagated_concentration_fields

Figure B.1: all files in numerical_experiment/03_propagated_concentration_fields