3.2: Bar with Fixed Temperature and Convection

Geometry, Material, and Boundary Conditions

Ambient temperature = 0. Bar dimensions are 1×1×8 inches. Side surfaces are subject to convection. One end has a prescribed temperature, and the other is insulated.

../../../_images/benchmark4-2-setup.png

Results

Reference results from [15]

Bar with Fixed Temperature and Convection

Resolution

Reference

Intact Direct Solver [%Error]

Intact Iterative Solver [%Error]

Time (s) to solve with <1% error

1000

293.48

293.44 [0.015%]

293.47 [0.004%]

Direct: 0.4 / Iterative: 0.3

10000

293.48

293.44 [0.015%]

293.47 [0.004%]

100000

293.48

293.44 [0.015%]

293.47 [0.004%]

Right Surface Temperature (K)