3.3: Cylinder with Convection

Geometry, Material, and Boundary Conditions

Inner and outer surfaces have convection prescribed.

../../../_images/benchmark4-3-setup.png

Results

Reference results from [12]

Cylinder with Convection

Reference

1000 DOF

10000 DOF

100000 DOF

Time (s) <1% error

Inner Surface (K)

545.45

547.0 [0.28%]

545.9 [0.07%]

545.7 [0.05%]

1.0 / 1.0 / 33.4 / 7.5

Outer Surface (K)

478.25

476.5 [0.37%]

477.3 [0.20%]

477.4 [0.17%]

Inner Flux (W/m²)

34,160

30,946 [9.41%]

32,817 [3.93%]

33,594 [1.66%]

Outer Flux (W/m²)

26,280

27,961 [6.40%]

26,939 [2.51%]

26,502 [0.84%]