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Following is an example on how to use temporal_statistics_process in json. The output variables data type should be matched with the input variables order and the data type for "norm_type" = "none". If "norm_type" != "none", then output variables should be scalars. If "container" = "nodal_historical_historical" is used as the container type, then output variables should be added to NodalSolutionStepVariables list in Kratos since this container type outputs temporal statistics variables to nodal historical container. This json settings also can be added to auxiliary_processes list.

For details about all the available statistical methods, norm_types, etc, please refer to rest of the README.md file.

        {
            "kratos_module": "KratosMultiphysics.StatisticsApplication",
            "python_module": "temporal_statistics_process",
            "Parameters": {
                "model_part_name": "FluidModelPart.fluid_computational_model_part",
                "input_variable_settings": [
                    {
                        "method_name": "variance",
                        "norm_type": "none",
                        "container": "nodal_historical_non_historical",
                        "echo_level": 1,
                        "method_settings": {
                            "input_variables": [
                                "VELOCITY",
                                "PRESSURE"
                            ],
                            "output_mean_variables": [
                                "VECTOR_3D_MEAN",
                                "SCALAR_MEAN"
                            ],
                            "output_variance_variables": [
                                "VECTOR_3D_VARIANCE",
                                "SCALAR_VARIANCE"
                            ]
                        }
                    }
                ],
                "statistics_start_point_control_variable_name": "TIME",
                "statistics_start_point_control_value": 2.5
            }
        }