Comparison of Momentum Simulation Results
Using Quadrangle versus Triangle Mesh Elements
Comparison of Momentum Simulation Results Using
Quadrangle versus Triangle Mesh Elements
•
In EM simulations, higher density meshes produce the most accurate results but
take longer to simulate and use more memory.
•
The following two examples show that quadrangle meshes yield more accurate
results compared to similar density meshes that use triangles. Both are compared
to the results of a higher density mesh, which is used as a reference.
•
In the spiral inductor example, you’ll note that a very high density quadrangle mesh
and a very high density mesh using triangles both give the same answer. However,
more time and memory are used with triangles to get the same result using
quadrangles. You’ll also note that the lower density quadrangle mesh results are
closer to the high-density mesh results than the lower density mesh that used
triangles.
•
Using the Momentum 3D Planar EM simulator with quadrangle mesh elements
helps you put higher performance products to market faster.
Page 2
Quadrangular cells in Momentum
MORE ACCURATE modeling of the current path with FEWER mesh cells
Example: step-in-width discontinuity
2 triangles
1 quadrangle
At 1 MHz
nrOfCells Resistance [W]
dense reference
mesh
Page 3
4
3
720
0.01089 (25 %)
0.00880 (1 %)
0.00871 (ref)
Inductance [nH]
0.2778 (3.5%)
0.2659 (0.9 %)
0.2683 (ref)
Quadrangular cells in Momentum
Spiral example
Meshing with rectangles/triangles
Mesh options
frequency: 6 GHz
density: 30 cells/l
Simulation options
MW mode
AFS 0-6 GHz
Total: 261 cells
Meshing with quadrangles
Total: 171 cells
Cell reduction 1.52x
Speed up 1.34x
Page 4
Quadrangular cells in Momentum
Spiral example
Meshing with rectangles/triangles
Meshing with quadrangles
phase difference
See next slide for which result is more accurate.
Page 5
Quadrangular results are more accurate
High-density reference mesh
Quadrangular
mesh results
closely match
reference
Meshing with quadrangles
Page 6
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Published in USA, May 25, 2011
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