How do I calculate element volume weighted average of Nodal results in Mechanical?

Ayush Kumar
Ayush Kumar Member, Moderator, Employee Posts: 419
5 Likes First Anniversary Ansys Employee Solution Developer Community of Practice Member
edited June 2023 in Structures

The average value given by Mechanical is just an average of all the Nodal results. Therefore, it is extremely dependent on the Mesh. If I have an equidistant mesh then it is correct but for the same if I have fine mesh some regions and coarse in others, the result will be wrong, because more number of sampling points are taken from the fine mesh region. Example - same model, same boundary conditions, different mesh - different results:

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Best Answer


  • TerryR
    TerryR Member Posts: 1
    First Comment
    edited January 15

    Ayush thanks much for posting that. For others, here is a more user friendly version for calculating the real average temperature. It works off of bodies, and having a named selection is optional.

    # -*- coding: utf-8 -*-
    # Analysis system index (eg zero if there is just 1 analysis system in the tree)
    analysis_system_index = 0
    # Optional: Create a Named Selection with only the selected BODIES of interest (eg multiple bodies of same material).
    named_sel_name = "Selection"
    # ACT reader
    reader = ExtAPI.DataModel.AnalysisList[analysis_system_index].GetResultsData()
    reader.CurrentResultSet = reader.ResultSetCount  #Get final result. Can show weird values otherwise.
    volume = reader.GetResult("VOLUME")
    temp = reader.GetResult("TEMP")
    # Bodies
    all_bodies = ExtAPI.DataModel.Project.Model.Geometry.GetChildren(DataModelObjectCategory.Body, True)
    # Mesh Data
    mesh_data = ExtAPI.DataModel.AnalysisList[analysis_system_index].MeshData
    # If the Named Selection is valid, get just those body ids.
    selected_body_ids = []
    named_sel = ExtAPI.DataModel.GetObjectsByName(named_sel_name)
    if len(named_sel) >= 1:
        selected_body_ids = named_sel[0].Ids
    print "Real average temperature for [", ExtAPI.DataModel.AnalysisList[analysis_system_index].Name, "]:"
    total_volume = 0.0
    total_w_element_temp = 0.0
    for body in all_bodies:
        geobody = body.GetGeoBody()
        # Ignore suppressed bodies
        if geobody.Suppressed:
        # Loop thru each selected body, or all bodies if none selected
        if (geobody.Id in selected_body_ids) or len(selected_body_ids)==0:
            body_volume = 0.0
            body_w_element_temp = 0.0
            #Get body elements
            Elements= mesh_data.MeshRegionById(geobody.Id).ElementIds
            for element_id in Elements:
                # volume of the element
                element_volume = volume.GetElementValues(element_id)[0]
                body_volume += element_volume
                total_volume += element_volume
                # nodes of that element
                nodes_element = mesh_data.NodeIdsFromElementIds([element_id])
                # Average element temperature
                average_element_temp = sum([temp.GetNodeValues(node_id)[0] for node_id in nodes_element]) / len(nodes_element)
                # Weighted Temperature
                body_w_element_temp += average_element_temp * element_volume
                total_w_element_temp += average_element_temp * element_volume
                #print average_element_temp
            # Don't divide by zero on invalid bodies
            if body_volume == 0.0:
            body_avg_temp = body_w_element_temp / body_volume
            print "Body [", geobody.Name, "]:",body_avg_temp, "°C   ", body_avg_temp *9/5+32, "°F"
    # Total Average temperature
    if total_volume == 0.0:
        total_volume = -1 # Error
    avg_temp = total_w_element_temp / total_volume
    # Print if more than one body selected
    if avg_temp <> body_avg_temp:
        print "Weighted average by volume for above bodies -", avg_temp, "°C", avg_temp *9/5+32, "°F"
    # Free rst file