![]() \nabla \cdot \left( \mu_r^ \nabla_t^2 E_z= 0 We will additionally assume that our modeling domain is purely vacuum, so that the frequency domain Maxwell’s equations reduce to: ![]() Let’s limit ourselves in this blog post to considering only 2D problems, where the electromagnetic wave is propagating in the x-y plane, with the electric field polarized in the z-direction. (For a description of the key differences between these modules, please see my previous blog post, titled “ Computational Electromagnetics Modeling, Which Module to Use?“) These modules provide similar interfaces for solving the frequency domain form of Maxwell’s equations via the finite element method. Such models can be built using the Electromagnetic Waves, Frequency Domain formulation in the RF Module or the Wave Optics Module. We only want to model a small region around the antenna. We may be building this model to simulate an antenna on a satellite in deep space or, more often, an antenna mounted in an anechoic test chamber.Īn antenna in infinite free space. We are often interested in modeling a radiating object, such as an antenna, in free space. Today, we will look at using scattering boundary conditions and perfectly matched layers for truncating domains and discuss their relative merits. COMSOL Multiphysics offers several solutions for this. Thinking about the problem, assume that we arrived at the followingĪpproximations (make sure you understand how we arrived at followingĪpproximations for your future quiz and test): The temperature of the heater isĬonstant at 400K.When solving wave electromagnetics problems, it is likely that you will want to model a domain with open boundaries - that is, a boundary of the computational domain through which an electromagnetic wave will pass without any reflection. We wish to determine the temperature distribution within the sheath. The entireĪssembly is immersed in a fluid and the system is at steady-state, as shown below. Thickness 0.05 m and which starts 0.05 m away from the center. The order isĪlso variable depending on the complexity of the model.Ĭonsider a cylindrical heating rod which is sheathed by a concentric tube of Not all of these steps are always necessary when building a model. Display the desired results in the most meaningful way (Results). ![]() Adjust solver parameters and compute (Study).ġ0. Choose the element size to be used (Mesh).Ĩ. ![]() you will need to enter these for Laminar Flow and again for Heatħ. You are using (This will be entered separately for each different physics you are Select the boundary, bulk and initial conditions for your system for each physics Select the materials you wish to use in your model (Materials).Ħ. Define the geometry of the model (Geometry).ĥ. Define the parameters, equations and variables pertinent to the model (subĤ. Of study you wish to perform (Time dependant or stationary).ģ. Work through the COMSOL Model Wizard which will require you to select theĬoordinate system for the model, the relevant physics to the problem, and the type The packages are cross-platform (Windows, Mac, Linux,Unix.) InĪddition to conventional physics-based user-interfaces, COMSOL MultiphysicsĪlso allows for entering coupled systems of partial differential equations (PDEs).Ģ. Toolboxes for a large variety of programming, preprocessing and postprocessing Select the materials you wish to use in your model (Materials).ĬOMSOL Multiphysics (formerly FEMLAB) is a finite element analysis, solverĪnd Simulation software / FEA Software package for various physics andĮngineering applications, especially coupled phenomena, or multiphysics.ĬOMSOL Multiphysics also offers an extensive interface to MATLAB and its Define the geometry of the model (Geometry). Define the parameters, equations and variables pertinent to the model (sub directory (Global Definitions). Work through the COMSOL Model Wizard which will require you to select the coordinate system for the model, the relevant physics to the problem, and the type of study you wish to perform (Time dependant or stationary). The packages are cross-platform (Windows, Mac, Linux,Unix.) In addition to conventional physics-based user-interfaces, COMSOL Multiphysics also allows for entering coupled systems of partial differential equations (PDEs). COMSOL Multiphysics also offers an extensive interface to MATLAB and its toolboxes for a large variety of programming, preprocessing and postprocessing possibilities. COMSOL 4.2 Tutorial COMSOL Multiphysics (formerly FEMLAB ) is a finite element analysis, solver and Simulation software / FEA Software package for various physics and engineering applications, especially coupled phenomena, or multiphysics.
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