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Test case, towed line (catenary)

Purpose

The purpose of this test case is to verify that the simulation model gives second order accuracy when applied on a towed line (balance between normal fluid drag and axial line force).

Method

The towed line has been computed numerically, and comparisons are made with the analytically calculated exact solution. With the normal fluid drag set proportional to the normal velocity squared and the axial fluid drag set to zero, the exact solution becomes the catenary (which is also the solution for a static hanging chain).

Results

The numerical and exact solutions are presented below with the fluid flowing from right to left:

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 towed line.