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A stable and adaptive semi-Lagrangian potential model for unsteady and nonlinear ship-wave interactions

Show simple item record Mola, Andrea Heltai, Luca DeSimone, Antonio 2012-04-03T07:12:06Z 2012-04-03T07:12:06Z 2012-03
dc.description.abstract We present an innovative numerical discretization of the equations of inviscid potential flow for the simulation of three dimensional unsteady and nonlinear water waves generated by a ship hull advancing in water. The equations of motion are written in a semi-Lagrangian framework, and the resulting integro-diff erential equations are discretized in space via an adaptive iso-parametric collocation Boundary Element Method, and in time via adaptive implicit Backward Di erentiation Formulas (BDF) with variable step and variable order. When the velocity of the advancing ship hull is non-negligible, the semi-Lagrangian formulation (also known as Arbitrary Lagrangian Eulerian formulation, or ALE) of the free surface equations contains dominant transport terms which are stabilized with a Streamwise Upwind Petrov-Galerkin (SUPG) method. The SUPG stabilization allows automatic and robust adaptation of the spatial discretization with unstructured quadrilateral grids. Preliminary results are presented where we compare our numerical model with experimental results on the case of a Wigley hull advancing in calm water with fi xed sink and trim. en_US
dc.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries SISSA;06/2012/M
dc.title A stable and adaptive semi-Lagrangian potential model for unsteady and nonlinear ship-wave interactions en_US
dc.type Preprint en_US
dc.subject.keyword Unsteady ship-wave interaction en_US
dc.subject.keyword Nonlinear free surface problems en_US
dc.subject.keyword Semi-Langrangian formulation en_US
dc.subject.keyword Arbitrary Langrangian Eulerian formulation en_US
dc.subject.keyword Boundary element method en_US
dc.contributor.department Functional Analysis and Applications en_US
dc.miur.area -1 en_US
dc.contributor.area Mathematics en_US

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