MATHICSE Technical Report : Numerical homogenization and model order reduction for multiscale inverse problems
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In this work, we are interested in elaborating models and numerical methods in order to study some phenomena which arise in the solidification of binary alloys. We propose two distinct models based on the mass and energy conservation laws as well as on cla ...
Shows how numerical solutions of the human cardiovascular system may be devised by coupling models having different physical dimensions. One of the aspects of the circulatory system is its multiscale nature. Local flow features may have a global effect on ...
We report a novel mode of quasi-static oscillatory crack propagation when a cutting tool is driven through a thin polymer film [6,7]. In our experiments, for tools with a large enough width, the crack tip follows a highly periodic path, leaving behind a st ...
A novel probabilistic numerical method for quantifying the uncertainty induced by the time integration of ordinary differential equations (ODEs) is introduced. Departing from the classical strategy to randomize ODE solvers by adding a random forcing term, ...
Using a drift flux representation for the two-phase flow, a new reduced order model has been developed to simulate density-wave oscillations (DWOs) in a heated channel. This model is then used to perform stability and semi-analytical bifurcation analysis, ...
In this study, we present an experimental validation of the transmission line representation of an elevated object struck by lightning. The experimental results are obtained using a reduced-scale model and injected signals with narrow pulse widths (down to ...
Noise impact of road and railway infrastructures are more and more severely regulated by national laws: acceptable thresholds are decreasing. This implies noise prediction for longer distance of propagation. It becomes necessary to predict very finely mete ...
WEC-C is a distributed, deterministic, catchment-scale water flow and solute transport model containing a number of innovations not present in comparable models. For example, it allows for the imposition of catchment topological changes resulting from land ...