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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 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.

The numerical and exact solutions are presented below

The relative error norm versus no of spatial grid divisions is presented below verifying second order error decay.

Conclusion

· The comparisons demonstrate that the equations are solved correctly and that the numerical scheme is second order accurate (error decreases with the spacing between discrete points squared).