diff --git a/co_simulation/validation/cylinder_cooling/README.md b/co_simulation/validation/cylinder_cooling/README.md new file mode 100644 index 00000000..02982d11 --- /dev/null +++ b/co_simulation/validation/cylinder_cooling/README.md @@ -0,0 +1,48 @@ +# Cylinder cooling Re = 100 and Pr = 2 + +**Author:** [Ihar Antonau](https://github.com/Igarizza) + +**Kratos version:** 9.5 + +**Source files:** [Cylinder cooling Re = 100 and Pr = 2](https://github.com/KratosMultiphysics/Examples/tree/master/co_simulation/validation/cylinder_cooling/source) + +## Case Specification + +#### The test case is implemented based on the [CHT example](https://github.com/KratosMultiphysics/Examples/tree/master/conjugate_heat_transfer/validation/cylinder_cooling_Re100_Pr2) using CoSimulationApplication. + +This is a 2D Conjugate Heat Transfer (CHT) simulation of a cylinder cooling procedure. The flow and material parameters are set such that the Reynolds number is 100 while the Prandtl one is 2. + +The geometry consists in a 5 x 2 m channel inside which the cylinder is placed. The center of the cylinder is placed in (0.9375,1.0) coordinates and its radius is 0.0625 m. For the CFD problem, the cylinder is considered to be no-slip while the top and bottom walls are slip. The pressure is fixed along the right edge. A constant inlet equal to 1.0 m/s, is set in the left edge. Concerning the thermal problem, the temperature is fixed to 0 K in the CFD domain left edge while an initial temperature of 1 K is set in the entire cylinder (solid) domain. + +Concerning the material properties, a Newtonian constitutive law is used in the CFD problem. Considering that the cylinder diameter is 0.125 m and the mean velocity is 1 m/s, the fluid characteristic parameters to obtain a 100 Re flow are: +* Density (ρ): 1.0 _Kg/m3_ +* Kinematic viscosity (μ): 1.25E-03 _Kg/ms_ + +For the coupled thermal problem, the properties are set such that the difusivity as well as the volumetric heat capacity of both materials is the same. This is achieved by setting the fluid values to +* Conductivity (κ): 6.25E-01 _W/m2K_ +* Specific heat (cp): 1.0E+03 _J/Kg·K_ + +and the solid values to +* Density (ρ): 4.0 _Kg/m3_ +* Conductivity (κ): 2.0E+03 _W/m2K_ +* Specific heat (cp): 2.5E+02 _J/Kg·K_ + +The time step is 0.1 seconds, while the total simulation time is 15.0 seconds. + +## Results +The obtained velocity, pressure and temperature fields are shown in the animations below. As can be observed, the expected 100 Re Von Karman vortex street is developed in the downstream region of the cylinder. The affectation of the velocity solution periodicity can be also observed in the fluid temperature field. Furthermore, the correctness of the thermal coupling is also proved since no temperature discontinuities can be noted in the fluid-solid interface. + +

+ Cylinder cooling Re = 100 and Pr = 2 velocity field [m/s]. +

+ +

+ Cylinder cooling Re = 100 and Pr = 2 pressure field [Pa]. +

+ +

+ Cylinder cooling Re = 100 and Pr = 2 temperature field [K]. +

+ +## References +Wang, Zimeng & Colin, Fabrice & Le, Guigao & Zhang, Junfeng. (2017). Counter-Extrapolation Method for Conjugate Heat and Mass Transfer with Interfacial Discontinuity. International Journal of Numerical Methods for Heat and Fluid Flow. 27. 2231-2258. 10.1108/HFF-10-2016-0422. [Link to the publication](https://www.researchgate.net/publication/311681538_Counter-Extrapolation_Method_for_Conjugate_Heat_and_Mass_Transfer_with_Interfacial_Discontinuity) diff --git a/co_simulation/validation/cylinder_cooling/data/cylinder_cooling_Re100_Pr2_p.gif b/co_simulation/validation/cylinder_cooling/data/cylinder_cooling_Re100_Pr2_p.gif new file mode 100644 index 00000000..f76dddf5 Binary files /dev/null and b/co_simulation/validation/cylinder_cooling/data/cylinder_cooling_Re100_Pr2_p.gif differ diff --git a/co_simulation/validation/cylinder_cooling/data/cylinder_cooling_Re100_Pr2_t.gif b/co_simulation/validation/cylinder_cooling/data/cylinder_cooling_Re100_Pr2_t.gif new file mode 100644 index 00000000..bf19c991 Binary files /dev/null and b/co_simulation/validation/cylinder_cooling/data/cylinder_cooling_Re100_Pr2_t.gif differ diff --git a/co_simulation/validation/cylinder_cooling/data/cylinder_cooling_Re100_Pr2_v.gif b/co_simulation/validation/cylinder_cooling/data/cylinder_cooling_Re100_Pr2_v.gif new file mode 100644 index 00000000..75b7267b Binary files /dev/null and b/co_simulation/validation/cylinder_cooling/data/cylinder_cooling_Re100_Pr2_v.gif differ diff --git a/co_simulation/validation/cylinder_cooling/source/BuoyancyMaterials.json b/co_simulation/validation/cylinder_cooling/source/BuoyancyMaterials.json new file mode 100644 index 00000000..c77b0672 --- /dev/null +++ b/co_simulation/validation/cylinder_cooling/source/BuoyancyMaterials.json @@ -0,0 +1,15 @@ +{ + "properties" : [{ + "model_part_name" : "FluidModelPart.Parts_Fluid", + "properties_id" : 1, + "Material" : { + "Variables" : { + "DENSITY" : 1.0, + "DYNAMIC_VISCOSITY" : 0.00125, + "CONDUCTIVITY" : 0.625, + "SPECIFIC_HEAT" : 1000.0 + }, + "Tables" : {} + } + }] +} diff --git a/co_simulation/validation/cylinder_cooling/source/CoSim.json b/co_simulation/validation/cylinder_cooling/source/CoSim.json new file mode 100644 index 00000000..337c381d --- /dev/null +++ b/co_simulation/validation/cylinder_cooling/source/CoSim.json @@ -0,0 +1,112 @@ +{ + "problem_data": { + "start_time": 0.0, + "end_time": 15.0, + "echo_level": 0, + "print_colors": true, + "parallel_type": "OpenMP" + }, + "solver_settings": { + "type": "coupled_solvers.gauss_seidel_strong", + "echo_level": 3, + "predictors": [], + "data_transfer_operators": { + "mapper": { + "type": "kratos_mapping", + "mapper_settings": { + "mapper_type": "nearest_neighbor" + } + } + }, + "num_coupling_iterations": 10, + "convergence_accelerators": [], + "coupling_operations" : { + "distribute_point_values" : { + "type" : "distribute_point_values", + "redistribution_iterations" : 100, + "redistribution_tolerance" : 1e-6, + "solver" : "solid", + "data_point_values" : "reaction", + "data_distributed_values" : "flux", + "entities" : "conditions" + } + }, + "convergence_criteria": [ + { + "type": "relative_norm_previous_residual", + "solver": "fluid", + "data_name": "temp", + "abs_tolerance": 1e-3, + "rel_tolerance": 1e-3 + } + ], + "coupling_sequence": [ + { + "name": "solid", + "input_data_list": [ + { + "data": "reaction", + "from_solver": "fluid", + "from_solver_data": "reaction", + "data_transfer_operator": "mapper", + "data_transfer_operator_options": [ + "swap_sign" + ], + "after_data_transfer_operations":["distribute_point_values"] + } + ], + "output_data_list": [ + { + "data": "temp", + "to_solver": "fluid", + "to_solver_data": "temp", + "data_transfer_operator": "mapper" + } + ] + }, + { + "name": "fluid", + "output_data_list": [], + "input_data_list": [] + } + ], + "solvers": { + "fluid": { + "type": "solver_wrappers.kratos.convection_diffusion_wrapper", + "solver_wrapper_settings": { + "input_file": "ProjectParametersFTHERMAL" + }, + "data": { + "temp": { + "model_part_name": "ThermalModelPart.FluidThermalInterface2D_Fluid_Interface", + "variable_name": "TEMPERATURE" + }, + "reaction": { + "model_part_name": "ThermalModelPart.FluidThermalInterface2D_Fluid_Interface", + "variable_name": "REACTION_FLUX" + } + } + }, + "solid": { + "type": "solver_wrappers.kratos.convection_diffusion_wrapper", + "solver_wrapper_settings": { + "input_file": "ProjectParametersSOLID" + }, + "data": { + "temp": { + "model_part_name": "Parts_Solid.SolidThermalInterface2D_Solid_Interface", + "variable_name": "TEMPERATURE" + }, + "reaction": { + "model_part_name": "Parts_Solid.SolidThermalInterface2D_Solid_Interface", + "variable_name": "REACTION_FLUX" + }, + "flux": { + "model_part_name": "Parts_Solid.SolidThermalInterface2D_Solid_Interface", + "variable_name": "FACE_HEAT_FLUX" + } + } + } + } + } +} \ No newline at end of file diff --git a/co_simulation/validation/cylinder_cooling/source/ConvectionDiffusionMaterials.json b/co_simulation/validation/cylinder_cooling/source/ConvectionDiffusionMaterials.json new file mode 100644 index 00000000..b2476d10 --- /dev/null +++ b/co_simulation/validation/cylinder_cooling/source/ConvectionDiffusionMaterials.json @@ -0,0 +1,14 @@ +{ + "properties" : [{ + "model_part_name" : "Parts_Solid", + "properties_id" : 2, + "Material" : { + "Variables" : { + "DENSITY" : 4.0, + "CONDUCTIVITY" : 2000.0, + "SPECIFIC_HEAT" : 250.0 + }, + "Tables" : {} + } + }] +} diff --git a/co_simulation/validation/cylinder_cooling/source/MainKratos.py b/co_simulation/validation/cylinder_cooling/source/MainKratos.py new file mode 100644 index 00000000..d54ef1f4 --- /dev/null +++ b/co_simulation/validation/cylinder_cooling/source/MainKratos.py @@ -0,0 +1,25 @@ +import KratosMultiphysics as KM +from KratosMultiphysics.CoSimulationApplication.co_simulation_analysis import CoSimulationAnalysis +import time + +# get the start time +st = time.time() + +""" +For user-scripting it is intended that a new class is derived +from CoSimulationAnalysis to do modifications +Check also "kratos/python_scripts/analysis-stage.py" for available methods that can be overridden +""" + +parameter_file_name = "CoSim.json" +with open(parameter_file_name,'r') as parameter_file: + parameters = KM.Parameters(parameter_file.read()) + +simulation = CoSimulationAnalysis(parameters) +simulation.Run() + +# get the end time +et = time.time() +# get the execution time +elapsed_time = et - st +print('Execution time:', elapsed_time, 'seconds') \ No newline at end of file diff --git a/co_simulation/validation/cylinder_cooling/source/ProjectParametersFTHERMAL.json b/co_simulation/validation/cylinder_cooling/source/ProjectParametersFTHERMAL.json new file mode 100644 index 00000000..d850a95f --- /dev/null +++ b/co_simulation/validation/cylinder_cooling/source/ProjectParametersFTHERMAL.json @@ -0,0 +1,304 @@ +{ + "analysis_stage": "KratosMultiphysics.ConvectionDiffusionApplication.convection_diffusion_analysis", + "problem_data": { + "problem_name": "fluid", + "domain_size": 2, + "parallel_type": "OpenMP", + "echo_level": 0, + "start_time": 0.0, + "end_time": 15 + }, + "output_processes": { + "gid_output": [ + { + "python_module": "gid_output_process", + "kratos_module": "KratosMultiphysics", + "process_name": "GiDOutputProcess", + "Parameters": { + "model_part_name": "FluidModelPart.fluid_computational_model_part", + "postprocess_parameters": { + "result_file_configuration": { + "gidpost_flags": { + "GiDPostMode": "GiD_PostBinary", + "WriteDeformedMeshFlag": "WriteDeformed", + "WriteConditionsFlag": "WriteConditions", + "MultiFileFlag": "SingleFile" + }, + "file_label": "time", + "output_control_type": "step", + "output_interval": 1, + "body_output": true, + "node_output": false, + "skin_output": false, + "plane_output": [], + "nodal_results": [ + "VELOCITY", + "PRESSURE", + "TEMPERATURE" + ], + "gauss_point_results": [], + "nodal_nonhistorical_results": [] + }, + "point_data_configuration": [] + }, + "output_name": "gid_output/fluidthermal" + } + } + ], + "vtk_output": [ + { + "python_module": "vtk_output_process", + "kratos_module": "KratosMultiphysics", + "process_name": "VtkOutputProcess", + "Parameters": { + "model_part_name": "FluidModelPart.fluid_computational_model_part", + "output_control_type": "step", + "output_interval": 1, + "file_format": "ascii", + "output_precision": 7, + "output_sub_model_parts": false, + "output_path": "vtk_output", + "save_output_files_in_folder": true, + "nodal_solution_step_data_variables": [ + "VELOCITY", + "PRESSURE", + "TEMPERATURE", + "REACTION_FLUX" + ], + "nodal_data_value_variables": [], + "element_data_value_variables": [], + "condition_data_value_variables": [], + "gauss_point_variables_extrapolated_to_nodes": [] + } + } + ] + }, + "restart_options": { + "SaveRestart": false, + "RestartFrequency": 0, + "LoadRestart": false, + "Restart_Step": 0 + }, + "solver_settings": { + "solver_type": "ThermallyCoupled", + "domain_size": 2, + "echo_level": 0, + "fluid_solver_settings": { + "model_part_name": "FluidModelPart", + "domain_size": 2, + "solver_type": "Monolithic", + "model_import_settings": { + "input_type": "mdpa", + "input_filename": "test_cylinder_cooling_Re100_Pr2_Fluid" + }, + "material_import_settings": { + "materials_filename": "BuoyancyMaterials.json" + }, + "echo_level": 1, + "compute_reactions": true, + "maximum_iterations": 10, + "relative_velocity_tolerance": 0.001, + "absolute_velocity_tolerance": 1e-5, + "relative_pressure_tolerance": 0.001, + "absolute_pressure_tolerance": 1e-5, + "volume_model_part_name": "Parts_Fluid", + "skin_parts": [ + "AutomaticInlet2D_Fluid_Left_Wall", + "Outlet2D_Fluid_Right_Wall", + "Slip2D", + "NoSlip2D_Fluid_Interface" + ], + "no_skin_parts": [], + "time_scheme": "bossak", + "time_stepping": { + "automatic_time_step": false, + "time_step": 0.1 + }, + "formulation": { + "element_type": "vms", + "use_orthogonal_subscales": false, + "dynamic_tau": 1.0 + }, + "reform_dofs_at_each_step": false + }, + "thermal_solver_settings": { + "solver_type": "transient", + "analysis_type": "non_linear", + "model_part_name": "ThermalModelPart", + "domain_size": 2, + "model_import_settings": { + "input_filename": "use_input_model_part" + }, + "material_import_settings": { + "materials_filename": "BuoyancyMaterials.json" + }, + "line_search": false, + "echo_level": 0, + "compute_reactions": true, + "max_iteration": 10, + "convergence_criterion": "residual_criterion", + "solution_relative_tolerance": 1e-5, + "solution_absolute_tolerance": 1e-7, + "residual_relative_tolerance": 1e-5, + "residual_absolute_tolerance": 1e-7, + "problem_domain_sub_model_part_list": [ + "Parts_Fluid" + ], + "processes_sub_model_part_list": [ + "ImposedTemperature2D_Fluid_Left_Wall", + "FluidThermalInterface2D_Fluid_Interface" + ], + "time_stepping": { + "time_step": 0.1 + } + } + }, + "processes": { + "constraints_process_list": [ + { + "python_module": "apply_inlet_process", + "kratos_module": "KratosMultiphysics.FluidDynamicsApplication", + "process_name": "ApplyInletProcess", + "Parameters": { + "model_part_name": "FluidModelPart.AutomaticInlet2D_Fluid_Left_Wall", + "variable_name": "VELOCITY", + "interval": [ + 0.0, + "End" + ], + "modulus": 1.0, + "direction": "automatic_inwards_normal" + } + }, + { + "python_module": "apply_outlet_process", + "kratos_module": "KratosMultiphysics.FluidDynamicsApplication", + "process_name": "ApplyOutletProcess", + "Parameters": { + "model_part_name": "FluidModelPart.Outlet2D_Fluid_Right_Wall", + "variable_name": "PRESSURE", + "constrained": true, + "value": 0.0, + "hydrostatic_outlet": false, + "h_top": 0.0 + } + }, + { + "python_module": "apply_noslip_process", + "kratos_module": "KratosMultiphysics.FluidDynamicsApplication", + "process_name": "ApplyNoSlipProcess", + "Parameters": { + "model_part_name": "FluidModelPart.NoSlip2D_Fluid_Interface" + } + }, + { + "python_module": "apply_slip_process", + "kratos_module": "KratosMultiphysics.FluidDynamicsApplication", + "process_name": "ApplySlipProcess", + "Parameters": { + "model_part_name": "FluidModelPart.Slip2D" + } + }, + { + "python_module": "apply_thermal_face_process", + "kratos_module": "KratosMultiphysics.ConvectionDiffusionApplication", + "Parameters": { + "model_part_name": "FluidModelPart.FluidThermalInterface2D_Fluid_Interface", + "ambient_temperature": 0.0, + "add_ambient_radiation": false, + "emissivity": 0.0, + "add_ambient_convection": false, + "convection_coefficient": 0.0 + } + }, + { + "python_module": "assign_vector_variable_process", + "kratos_module": "KratosMultiphysics", + "process_name": "AssignVectorVariableProcess", + "Parameters": { + "model_part_name": "FluidModelPart.AutomaticInlet2D_Fluid_Left_Wall", + "variable_name": "VELOCITY", + "constrained": [ + true, + true, + true + ], + "value": [ + 1.0, + 0.0, + 0.0 + ] + } + }, + { + "python_module": "assign_scalar_variable_process", + "kratos_module": "KratosMultiphysics", + "process_name": "AssignScalarVariableProcess", + "Parameters": { + "model_part_name": "FluidModelPart.Outlet2D_Fluid_Right_Wall", + "variable_name": "PRESSURE", + "constrained": false, + "value": 0.0 + } + }, + { + "python_module": "assign_scalar_variable_process", + "kratos_module": "KratosMultiphysics", + "process_name": "AssignScalarVariableProcess", + "Parameters": { + "model_part_name": "ThermalModelPart.ImposedTemperature2D_Fluid_Left_Wall", + "variable_name": "TEMPERATURE", + "interval": [ + 0.0, + "End" + ], + "constrained": true, + "value": 0.0 + } + }, + { + "python_module": "assign_scalar_variable_process", + "kratos_module": "KratosMultiphysics", + "process_name": "AssignScalarVariableProcess", + "Parameters": { + "model_part_name": "ThermalModelPart.FluidThermalInterface2D_Fluid_Interface", + "variable_name": "TEMPERATURE", + "interval": [ + 0.0, + 1e-5 + ], + "constrained": false, + "value": 1.0 + } + }, + { + "python_module": "fix_scalar_variable_process", + "kratos_module": "KratosMultiphysics", + "process_name": "FixScalarVariableProcess", + "Parameters": { + "model_part_name": "ThermalModelPart.FluidThermalInterface2D_Fluid_Interface", + "variable_name": "TEMPERATURE", + "interval": [ + 0.0, + "End" + ], + "constrained": true + } + }, + { + "python_module": "apply_boussinesq_force_process", + "kratos_module": "KratosMultiphysics.FluidDynamicsApplication", + "process_name": "ApplyBoussinesqForceProcess", + "Parameters": { + "model_part_name": "ThermalModelPart.Boussinesq__Boussinesq_hidden_", + "gravity": [ + 0.0, + 0.0, + 0.0 + ], + "ambient_temperature": 273.15 + } + } + ] + } +} \ No newline at end of file diff --git a/co_simulation/validation/cylinder_cooling/source/ProjectParametersSOLID.json b/co_simulation/validation/cylinder_cooling/source/ProjectParametersSOLID.json new file mode 100644 index 00000000..97724898 --- /dev/null +++ b/co_simulation/validation/cylinder_cooling/source/ProjectParametersSOLID.json @@ -0,0 +1,144 @@ +{ + "analysis_stage": "KratosMultiphysics.ConvectionDiffusionApplication.convection_diffusion_analysis", + "problem_data": { + "problem_name": "solid", + "parallel_type": "OpenMP", + "time_step": 0.1, + "start_time": 0.0, + "end_time": 15.0, + "echo_level": 0 + }, + "solver_settings": { + "solver_type": "transient", + "analysis_type": "non_linear", + "model_part_name": "Parts_Solid", + "domain_size": 2, + "model_import_settings": { + "input_type": "mdpa", + "input_filename": "test_cylinder_cooling_Re100_Pr2_Solid" + }, + "material_import_settings": { + "materials_filename": "ConvectionDiffusionMaterials.json" + }, + "line_search": false, + "echo_level": 1, + "compute_reactions": true, + "max_iteration": 10, + "convergence_criterion": "residual_criterion", + "solution_relative_tolerance": 1e-5, + "solution_absolute_tolerance": 1e-7, + "residual_relative_tolerance": 1e-5, + "residual_absolute_tolerance": 1e-7, + "problem_domain_sub_model_part_list": [ + "TEMPERATURE_Solid", + "SolidThermalInterface2D_Solid_Interface" + ], + "processes_sub_model_part_list": [ + "Parts_Solid" + ], + "time_stepping": { + "time_step": 0.1 + } + }, + "processes": { + "initial_conditions_process_list": [ + { + "python_module": "assign_scalar_variable_process", + "kratos_module": "KratosMultiphysics", + "process_name": "AssignScalarVariableProcess", + "Parameters": { + "model_part_name": "Parts_Solid.TEMPERATURE_Solid", + "variable_name": "TEMPERATURE", + "interval": [ + 0.0, + 1e-5 + ], + "constrained": false, + "value": 1.0 + } + } + ], + "constraints_process_list":[ + { + "python_module": "apply_thermal_face_process", + "kratos_module": "KratosMultiphysics.ConvectionDiffusionApplication", + "Parameters": { + "model_part_name": "Parts_Solid.SolidThermalInterface2D_Solid_Interface", + "ambient_temperature": 0.0, + "add_ambient_radiation": false, + "emissivity": 0.0, + "add_ambient_convection": false, + "convection_coefficient": 0.0 + } + } + ] + }, + "output_processes": { + "gid_output": [ + { + "python_module": "gid_output_process", + "kratos_module": "KratosMultiphysics", + "process_name": "GiDOutputProcess", + "Parameters": { + "model_part_name": "Parts_Solid", + "postprocess_parameters": { + "result_file_configuration": { + "gidpost_flags": { + "GiDPostMode": "GiD_PostBinary", + "WriteDeformedMeshFlag": "WriteDeformed", + "WriteConditionsFlag": "WriteConditions", + "MultiFileFlag": "SingleFile" + }, + "file_label": "time", + "output_control_type": "step", + "output_interval": 1, + "body_output": true, + "node_output": false, + "skin_output": false, + "plane_output": [], + "nodal_results": [ + "TEMPERATURE" + ], + "gauss_point_results": [], + "nodal_nonhistorical_results": [] + }, + "point_data_configuration": [] + }, + "output_name": "gid_output/solid" + } + } + ], + "vtk_output": [ + { + "python_module": "vtk_output_process", + "kratos_module": "KratosMultiphysics", + "process_name": "VtkOutputProcess", + "Parameters": { + "model_part_name": "Parts_Solid", + "output_control_type": "step", + "output_interval": 1, + "file_format": "ascii", + "output_precision": 7, + "output_sub_model_parts": false, + "output_path": "vtk_output", + "save_output_files_in_folder": true, + "nodal_solution_step_data_variables": [ + "TEMPERATURE", + "REACTION_FLUX", + "FACE_HEAT_FLUX" + ], + "nodal_data_value_variables": [], + "element_data_value_variables": [], + "condition_data_value_variables": [], + "gauss_point_variables_extrapolated_to_nodes": [] + } + } + ] + }, + "restart_options": { + "SaveRestart": false, + "RestartFrequency": 0, + "LoadRestart": false, + "Restart_Step": 0 + } +} \ No newline at end of file diff --git a/co_simulation/validation/cylinder_cooling/source/test_cylinder_cooling_Re100_Pr2_Fluid.mdpa b/co_simulation/validation/cylinder_cooling/source/test_cylinder_cooling_Re100_Pr2_Fluid.mdpa new file mode 100644 index 00000000..5b3587eb --- /dev/null +++ b/co_simulation/validation/cylinder_cooling/source/test_cylinder_cooling_Re100_Pr2_Fluid.mdpa @@ -0,0 +1,40259 @@ +Begin ModelPartData +// VARIABLE_NAME value +End ModelPartData + +Begin Properties 0 +End Properties + +Begin Properties 1 + DENSITY 1.0 + DYNAMIC_VISCOSITY 0.00125 + CONDUCTIVITY 0.625 + SPECIFIC_HEAT 1000.0 +End Properties + +Begin Nodes + 1 5.0000000000 2.0000000000 0.0000000000 + 2 5.0000000000 1.9500000000 0.0000000000 + 3 4.9500000000 2.0000000000 0.0000000000 + 4 4.9401059669 1.9608339940 0.0000000000 + 5 4.9000000000 2.0000000000 0.0000000000 + 6 5.0000000000 1.9000000000 0.0000000000 + 7 4.9500000000 1.9133974596 0.0000000000 + 8 4.9566987298 1.8750000000 0.0000000000 + 9 4.8750000000 1.9566987298 0.0000000000 + 10 4.9057417684 1.9057417684 0.0000000000 + 11 4.8500000000 2.0000000000 0.0000000000 + 12 5.0000000000 1.8500000000 0.0000000000 + 13 4.9133974596 1.8500000000 0.0000000000 + 14 4.8500000000 1.9133974596 0.0000000000 + 15 4.9566987298 1.8250000000 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