3.4: Cylinder with Fixed Temperatures

Geometry and Boundary Conditions

Inner radius = 0.3m, outer radius = 0.35m. Inner and outer temperatures are prescribed.

../../../_images/benchmark4-4-setup.png

Material

Results

Reference results from [13]

Temperature (K) by Position

Sample position

Reference (K)

1000 DOF

10000 DOF

100000 DOF

Time (s) <1% error

r=0.30m

373.15

371.85 [0.349%]

373.11 [0.012%]

373.12 [0.007%]

Direct: 8.7 / Iterative: 19.2

r=0.31m

356.13

349.24 [1.934%]

355.57 [0.157%]

356.31 [0.052%]

r=0.32m

339.66

335.47 [1.233%]

335.31 [1.281%]

339.69 [0.010%]

r=0.33m

323.69

315.05 [2.670%]

315.62 [2.493%]

323.53 [0.049%]

r=0.34m

308.19

307.93 [0.085%]

299.07 [2.959%]

307.78 [0.132%]

r=0.35m

293.15

294.12 [0.330%]

293.35 [0.070%]

293.14 [0.003%]