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Test case, towed line (catenary)

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

The numerical and exact solutions are presented below

The fluid is flowing from right to left in the figure below.

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