Some manufactured solutions for verification of fluid-structure interaction codes

This paper presents manufactured solutions (MS) for verification of a fluid-structure interactions code. MS provide benchmark solutions for direct evaluation of the solution errors. The method of manufactured solutions (MMS) is a straight forward and general procedure for generating exact analytical solutions with a sufficiently rich structure to ensure that all terms of the differential equations are exercised in the simulations. When used with systematic grid refinement studies, the MMS provides strong code verification with a theorem-like quality. Manufactured solutions for fluid-structure interaction (FSI) problems with large displacements are presented with sample results from grid convergence studies.

► Manufactured solutions (MS) for fluid-structure code verification.
► Generated MS do not require source terms at fluid-structure interface location.
► Fluid-structure arbitrary Lagrangian–Eulerian finite element code verified.
► Apparently simple manufactured solutions are in fact tough and exacting test cases.