On the accuracy of the desingularized boundary integral method in free surface flow problems. (English) Zbl 0897.76058
Summary: The numerical properties of the desingularized boundary integral formulation are studied within the framework of free surface potential problems. Several numerical experiments are carried out on simple test cases in order to investigate the effects on the accuracy of the distance between the singularity sheet and the free boundary. The optimum value of this distance is related to the mesh size by simple correlations. Once the desingularized boundary integral formulation had been so calibrated, it is implemented for the solution of two typical free surface flow problems: wave diffraction around a fixed obstacle and wave resistance of submerged bodies. Numerical results are discussed in comparison with experimental data; the computational efficiency and accuracy of desingularized algorithms are confirmed and specified.
MSC:
| 76M15 | Boundary element methods applied to problems in fluid mechanics |
| 76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |
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