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8 papers · 1 filter
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms
Giuseppe Orlando, Ward Haegeman, Marica Pelanti +1
We present a robust computational framework for the numerical solution of a hyperbolic 6-equation single-velocity two-phase system. The system's main interest is that, when combine…
Direct parametrisation of invariant manifolds for non-autonomous forced systems including superharmonic resonances
Alessandra Vizzaccaro, Giorgio Gobat, Attilio Frangi +1
The direct parametrisation method for invariant manifold is a model-order reduction technique that can be applied to nonlinear systems described by PDEs and discretised e.g. with a…
Comparison of nonlinear mappings for reduced-order modelling of vibrating structures: normal form theory and quadratic manifold method with modal derivatives
Alessandra Vizzaccaro, Loïc Salles, Cyril Touzé
The objective of this contribution is to compare two methods proposed recently in order to build efficient reduced-order models for geometrically nonlinear structures. The first me…
Boundary element methods for acoustic scattering by fractal screens
Simon N. Chandler-Wilde, David P. Hewett, Andrea Moiola +1
We study boundary element methods for time-harmonic scattering in () by a fractal planar screen, assumed to be a non-empty bounded subset of the hyperplan…
Backward Differentiation Formula finite difference schemes for diffusion equations with an obstacle term
Olivier Bokanowski, Kristian Debrabant
Finite difference schemes, using Backward Differentiation Formula (BDF), are studied for the approximation of one-dimensional diffusion equations with an obstacle term, of the form…
Existence of guided waves due to a lineic perturbation of a 3D periodic medium
Bérangère Delourme, Patrick Joly, Elizaveta Vasilevskaya
In this note, we exhibit a three dimensional structure that permits to guide waves. This structure is obtained by a geometrical perturbation of a 3D periodic domain that consists o…