FEM SUPG stabilisation of mixed isoparametric BEMs: Application to linearised free surface flows

Giuliani, Nicola; Mola, Andrea; Heltai, Luca; Formaggia, Luca

doi:10.1016/j.enganabound.2015.04.006

Cited by 11 publications

(10 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, for each time instant, we will look for the correct values of the unknown potential and node displacement fields by solving a specific nonlinear problem resulting from the spatial and time discretization of the original boundary value problem. The spatial discretization of the Laplace problem is based upon a boundary integral formulation described in [ 19 ]. In this framework, the domain boundary is subdivided into quadrilateral cells, on which bi-linear shape functions are used to approximate the surface, the flow potential values, and the normal component of its surface gradient.…”

Section: Implementation Of High Fidelity Potential Solver Based On Thmentioning

confidence: 99%

Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems

Tezzele

Salmoiraghi

Mola

et al. 2018

Adv. Model. and Simul. in Eng. Sci.

Self Cite

View full text Add to dashboard Cite

We present the results of the first application in the naval architecture field of a methodology based on active subspaces properties for parameter space reduction. The physical problem considered is the one of the simulation of the hydrodynamic flow past the hull of a ship advancing in calm water. Such problem is extremely relevant at the preliminary stages of the ship design, when several flow simulations are typically carried out by the engineers to assess the dependence of the hull total resistance on the geometrical parameters of the hull, and others related with flows and hull properties. Given the high number of geometric and physical parameters which might affect the total ship drag, the main idea of this work is to employ the active subspaces properties to identify possible lower dimensional structures in the parameter space. Thus, a fully automated procedure has been implemented to produce several small shape perturbations of an original hull CAD geometry, in order to exploit the resulting shapes and to run high fidelity flow simulations with different structural and physical parameters as well, and then collect data for the active subspaces analysis. The free form deformation procedure used to morph the hull shapes, the high fidelity solver based on potential flow theory with fully nonlinear free surface treatment, and the active subspaces analysis tool employed in this work have all been developed and integrated within SISSA mathLab as open source tools. The contribution will also discuss several details of the implementation of such tools, as well as the results of their application to the selected target engineering problem.

show abstract

Section: Implementation Of High Fidelity Potential Solver Based On Thmentioning

confidence: 99%

Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems

Tezzele

Salmoiraghi

Mola

et al. 2018

Adv. Model. and Simul. in Eng. Sci.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Second, a preliminary study of the accuracy of the PML is performed. Third, the numerical results of the proposed approach are compared with respect to those ones obtained with the classical linear model presented in [New99] and used in [GMHF15]. Moreover, the same test problem has been modelled by a turbulent k-ω model coupled with the full Navier-Stokes equations considering the free surface as the interface between two species: air and water (solved with a widely used commercial software: Ansys Fluent).…”

Section: Numerical Resultsmentioning

confidence: 99%

“…as [GMHF15] propose for a similar problem), and h d is the cell diameter of the finite element mesh.…”

Section: Upwind Methodology For Handling the Transport Termmentioning

confidence: 99%

“…Moreover, in the 1980s, the Streamline Upwind Petrov-Galerkin (SUPG) method was introduced in [BH82] for upwinding the convective term in convection dominated flows. The SUPG method can be understood as a stabilization technique (see, for instance, [Pir89], [MHD12] or [GMHF15]) for standard finite element discretizations. In order to deal with the convective term involved in the free surface boundary condition, the SUPG method must be applied in the fluid and PML governing equations without introducing numerical artefacts on the discrete solutions.…”

Section: Domainmentioning

confidence: 99%

“…Remark 5.1. Notice that the present model is a generalization of the classical one that can be found in the bibliography (see, for instance, [New99]) which has been widely used to compute Kelvin wake patterns (see for instance in [GMHF15]). The difference with the model introduced in (17) is located in the free surface boundary condition.…”

Section: Steady Statementioning

confidence: 99%

See 2 more Smart Citations

Upwind finite element-PML approximation of a novel linear potential model for free surface flows produced by a floating rigid body

Bermúdez

Crego

Prieto

2022

Applied Mathematical Modelling

View full text Add to dashboard Cite

π-BEM: A flexible parallel implementation for adaptive, geometry aware, and high order boundary element methods

Giuliani

Mola

Heltai

2018

Advances in Engineering Software

View full text Add to dashboard Cite

FEM SUPG stabilisation of mixed isoparametric BEMs: Application to linearised free surface flows

Cited by 11 publications

References 20 publications

Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems

Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems

Upwind finite element-PML approximation of a novel linear potential model for free surface flows produced by a floating rigid body

π-BEM: A flexible parallel implementation for adaptive, geometry aware, and high order boundary element methods

Contact Info

Product

Resources

About