%0 Journal Article %J Engineering Analysis with Boundary Elements 59 (2015), pp. 8-22 %D 2015 %T FEM SUPG stabilisation of mixed isoparametric BEMs: application to linearised free surface flows %A Nicola Giuliani %A Andrea Mola %A Luca Heltai %A L. Formaggia %X

In finite element formulations, transport dominated problems are often stabilised through the Streamline-Upwind-Petrov–Galerkin (SUPG) method. Its application is straightforward when the problem at hand is solved using Galerkin methods. Applications of boundary integral formulations often resort to collocation techniques which are computationally more tractable. In this framework, the Galerkin method and the stabilisation may still be used to successfully apply boundary conditions and resolve instabilities that are frequently observed in transport dominated problems. We apply this technique to an adaptive collocation boundary element method for the solution of stationary potential flows, where we solve a mixed Poisson problem in boundary integral form, with the addition of linearised free surface boundary conditions. We use a mixed boundary element formulation to allow for different finite dimensional spaces describing the flow potential and its normal derivative, and we validate our method simulating the flow around both a submerged body and a surface piercing body. The coupling of mixed surface finite elements and strongly consistent stabilisation techniques with boundary elements opens up the possibility to use non conformal unstructured grids with local refinement, without introducing the inconsistencies of other stabilisation techniques based on up-winding and finite difference schemes.

%B Engineering Analysis with Boundary Elements 59 (2015), pp. 8-22 %G en_US %U http://urania.sissa.it/xmlui/handle/1963/34466 %1 34640 %2 Mathematics %4 1 %# MAT/08 %$ Submitted by ngiuliani@sissa.it (ngiuliani@sissa.it) on 2015-05-04T12:32:04Z No. of bitstreams: 1 paper-free-surface.pdf: 888763 bytes, checksum: 68366266786e84b78a356acd6de50840 (MD5) %R 10.1016/j.enganabound.2015.04.006 %0 Journal Article %J Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology %D 2010 %T A three-dimensional model for the dynamics and hydrodynamics of rowing boats %A L. Formaggia %A Andrea Mola %A N Parolini %A M Pischiutta %X

This paper proposes a new model describing the dynamics of a rowing boat for general three-dimensional motions. The complex interaction between the different components of the rowers–-oars–-boat system is analysed and reduced to a set of ordinary differential equations governing the rigid motion along the six degrees of freedom. To treat the unstable nature of the physical problem, a rather simple (but effective) control model is included, which mimics the main active control techniques adopted by the rowers during their action.

%B Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology %V 224 %P 51-61 %G eng %U https://doi.org/10.1243/17543371jset46 %R 10.1243/17543371jset46 %0 Journal Article %J International Journal for Numerical Methods in Fluids %D 2009 %T A model for the dynamics of rowing boats %A L. Formaggia %A Edie Miglio %A Andrea Mola %A Antonio Montano %B International Journal for Numerical Methods in Fluids %I Wiley %V 61 %P 119–143 %8 sep %G eng %U https://doi.org/10.1002/fld.1940 %R 10.1002/fld.1940 %0 Journal Article %J International Journal for Numerical Methods in Fluids %D 2008 %T Fluid–structure interaction problems in free surface flows: Application to boat dynamics %A L. Formaggia %A Edie Miglio %A Andrea Mola %A N Parolini %B International Journal for Numerical Methods in Fluids %I Wiley %V 56 %P 965–978 %G eng %U https://doi.org/10.1002/fld.1583 %R 10.1002/fld.1583