Permanent Magnets

Model definition

Components	Geometric info
Magnet 1	Cylinder of 2mm radius and 2mm height centered at (0, 0.0016, 0)
Magnet 2	Cylinder of 2mm radius and 2mm height centered at (0, -0.0016, 0)
Force domain 1	Cylinder of 3mm radius and 3mm height centered at (0, 0.0016, 0)
Force domain 2	Cylinder of 2mm radius and 2mm height centered at (0, -0.0016, 0)
Air box	Box of size 50mm x 50mm x 50 mm

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Output Results:

1. Magnetic field distribution.
2. Magnetic forces between the magnets.

Material Data

• Air

Property	Value
Magnetic permeability	$\mu_0 = 4 \pi \times 10^{-7}$ H/m

Boundary conditions

Type	Value	Target volume
Remanence	[0, 1.35, 0]	Magnet 1
Remanence	[0,-1.35, 0]	Magnet 2

Step-by-step guide

Here you’ll find a step-by-step tutorial on how to simulate this in Quanscient Allsolve

Step 1 - Create geometry

1. Start with a new project:  

2. Click on cylinder icon (< May be add the icon?? >) under Create a geometry:  

3. In the GEOMETRIES SETTINGS, rename the cylinder as magnet 1 and set the corresponding values as in the image below. Click on Apply to confirm the settings and then click on Not built to build the cylinder.  

4. Click on Reset view to fit the geometry to the visualization window.  

5. Click on the copy (< replace the word with icon >) icon to copy the shape and properties of magnet 1.  

6. Rename the copied geometry as magnet 2 and modify the Y-centerpoint as shown in the below image.  

7. Click on Apply to confirm the settings and then click on Not built to build the geometry. Click on Reset view to fit the geometry to the visualization window.  

8. Make a copy of magnet 1 again. Rename the copied geometry as force domain 1. Increase the radius and height by 1mm.  

9. Click on Apply to confirm the settings and then click on Not built to build the geometry.  

10. Now make a copy of magnet 2. Rename the copied geometry as force domain 2. Increase the radius and height by 1mm.  

11. Click on Apply to confirm the settings and then click on Not built to build the geometry.  

12. Click on the + icon next to Geoemtry elements and select Box.  

13. In the GEOMETRIES SETTINGS, provide the size of the box: X=0.05; Y=0.05; Z=0.05. Click on Apply to confirm the settings and then click on Not built to build the box.  

14. Click on Confirm model changes to finish model creation process.

Step 2 - Define material

1. Proceed to the Properties tab to define regions and materials.  

2. Click on the + icon next to Materials and select Air from the list and click Confirm.  

3. Click on Add volume followed by + icon next to it. This opens a list of all the volumes in the model. Click on Select all and then on Apply. This applies the Air material to all the selected volumes.  

Step 3 - Define the physics and apply boundary conditions

1. Proceed to the Physics tab to define physics and interactions.  

2. Click on the + icon to add a new physics. Select Magnetism $\phi$.  

3. Click on the + icon next to Magnetism $\phi$ to add interactions. Select Remanence to introduce a B-field in a volume.  

4. Rename the interaction as Remanence left. Click on Add Volume and select volume 4 as target volume. Set the remanence value to (0, 1.35, 0). Click on Apply to confirm the settings.  

5. Add another Remanence interaction. Rename it as Remanence right. Click on Add Volume and select volume 1 as target volume. Set the remanence value to (0, -1.35, 0). Click on Apply to confirm the settings.  

Step 4 - Meshing the geometry

1. Proceed to the Simulations tab and add click on + icon next to the Meshes to add mesh.  

2. Under the MESH SETTINGS, click on Mesh quality to view the dropdown menu and select Expert Settings.  

3. Keep Mesh Refiner as the Used mesher. Set the Max size = 0.05.  

4. Scroll down to the Mesh Refinement. Click on Add mesh refinement and then on Volume.  

5. Select all the cylindrical volumes as shown below and set the Max size = 0.0001.  

6. Click on Apply to confirm the mesh settings and then on Not run to run the mesh generation process. The status changes from Not run to Running.  

7. Once the mesh status changes to Success scroll down to Mesh results under MESH SETTINGS and click on Show preview.  

Step 5 - Apply simulation settings

1. Click on + icon next to the Simulations to add a simulation.  

2. Under the SIMULATIONS SETTINGS, in the Analysis Type select Steady state and in Concurrency set the Node Count = 5 and Node Type = 1 CPU, 16GB. Click on Apply button to confirm the settings.  

3. Click on Mesh under Simulation 1 and select Mesh 1 to set this mesh for the current simulation.  

4. Click on + icon next to Outputs under Simulation 1. Now select Magnetic flux density under Field outputs.  

5. Provide the following OUTPUTS SETTINGS as in the image below and click on Apply.  

6. Similarly, create another Magnetic flux density field output with the following settings as in the image.  

7. Click on + icon next to Outputs under Simulation 1. Now select Magnetic force under Value outputs.  

8. Provide the following OUTPUTS SETTINGS as in the image below and click on Apply.  

9. Similarly, create another Magnetic force value output with the following settings as in the image.  

10. Now click on Simulation 1 and then on Run Simulation button. The simulation status changes from Not run to Running and after completion to Success.  

Step 5 - Visualizing the simulation results

1. Once the simulation status changes to Success, click on Summary under Results.  

2. Clicking on Summary opens a new dialog box containing the magnetic force output.  

3. Close the summary dialog box and click on + icon next to Visualizations to add a visualization.  

4. Click on + icon next to Visualization 1 and select B magnets.  

5. Now click on Activate current visualization button in the visualization window.  

6. Change the Translucent Model to Opaque Model and click on Reset View to fit the visible model to the visualization window.  

7. Add a new visualization by clicking + icon next to Visualization 1 and select B air.  

8. To add a glyph filter to B air, click on + icon next to it and select Glyph.  

9. In the GLYPH SETTINGS, set Max sample points = 50000 and Scale factor = 0.001 and click on Apply to confirm the settings. Finally, click on the Render button above the visualization window to view the magnetic fields as glyph vectors.