Volume Integration, Surface Integration, and Line Integration
The derived integration values are useful for calculating integrated quantities for each solution in a dataset (a time-dependent solution, for example). Also apply an average, maximum, or other operation to compute the average of an integrated quantity, for example.
Under Results, right-click Derived Values () or any Evaluation Group node (), and from the Integration submenu select:
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Volume Integration () to evaluate an integral over a set of domains in 3D models. The result of the evaluation is stored in a Table and displayed in the Table window.
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Surface Integration () to evaluate an integral over a set of domains in 2D, 2D axisymmetric, or boundaries in 3D.
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Line Integration () to evaluate an integral over a set of domains in 1D, boundaries in 2D, or edges in 3D. Integrate over any dataset of the right dimension. For example, make a volume integration of a 2D revolved dataset or a surface integration of a cut plane.
Go to Common Results Node Settings for information about these sections: Data, Selection, Through-Thickness Location, Expressions, Integration Settings, and Data Series Operation.
For volume integration examples, and if you have the:
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AC/DC Module, for both a volume and surface integration example, see Eddy Currents: Application Library path ACDC_Module/Introductory_Electromagnetics/eddy_currents.
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RF Module, see Microwave Oven: Application Library path RF_Module/Microwave_Heating/microwave_oven.
For a surface integration example see Effective Diffusivity in Porous Materials: Application Library path COMSOL_Multiphysics/Diffusion/effective_diffusivity.
For line integration examples, and if you have the:
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AC/DC Module, see An RFID System: Application Library path ACDC_Module/Introductory_Magnetostatics/rfid.
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CFD Module, see Capillary Filling — Level Set Method: Application Library path CFD_Module/Multiphase_Flow/capillary_filling_ls.
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Microfluidics Module, see Capillary Filling — Level Set Method: Application Library path Microfluidics_Module/Two-Phase_Flow/capillary_filling_ls.
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Heat Transfer Module, see Radiation in a Cavity: Application Library path Heat_Transfer_Module/Verification_Examples/cavity_radiation.