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Test case, static chain (catenary)

Purpose

The purpose of this test case is to verify that the simulation model gives second order accuracy applied on a static hanging chain (balance between gravity and axial internal line force).

Method

The hanging chain has been computed numerically, and comparisons are made with the analytically calculated exact solution referred to as the catenary.

Results

The numerical and exact solutions are presented below:

The relative error norm versus no of spatial grid divisions is presented below:

Conclusion

· The results confirm that the simulation model is second order accurate when applied to calculate a static hanging chain.