Mathematical models and numerical simulations for the America's Cup

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We investigate the conditions for the local arrest of a hydraulic fracture encountering a region of larger toughness. The propagation of a hydraulic fracture strongly depends on the ratio between the energy dissipated in the creation of new fracture surfac ...

River engineering projects are usually designed based on the peak discharge concept. However, some river processes depend on the shape and duration of the flow hydrograph, and their modelling is particularly relevant for designing protection and retention ...

Shear layers and corresponding Kelvin Helmholtz-type Coherent Structures (KHCS) can be generated by rivers discharging into laterally-unconfined quiescent open water bodies (e.g., lakes). When the river discharge has a greater density than the receiving wa ...

Additive manufacturing of 316L/CuCrZr multi-material metallic structures has recently attracted significant attention, due to the ideal combination of structural and thermal/electrical properties. In this work, a unique multi-phase microstructure was produ ...

The goal of this work is to use anisotropic adaptive finite elements for the numerical simulation of aluminium electrolysis. The anisotropic adaptive criteria are based on a posteriori error estimates derived for simplified problems. First, we consider an ...

We consider fluid flows, governed by the Navier-Stokes equations, subject to a steady symmetry-breaking bifurcation and forced by a weak noise acting on a slow timescale. By generalizing the multiple-scale weakly nonlinear expansion technique employed in t ...

We present a numerical model for the approximation of multiphase flows with free surfaces and strong interfacial effects. The model relies on the multiphase incompressible Navier-Stokes equations, and includes surface tension effects on the interfaces betw ...

Decision-making permeates every aspect of human and societal development, from individuals' daily choices to the complex decisions made by communities and institutions. Central to effective decision-making is the discipline of optimization, which seeks th ...

The difficulty of determining the slope of the famed logarithmic law in the mean velocity profile of wall-bounded turbulent flows, the inverse of the K & aacute;rm & aacute;n "constant" kappa, from direct numerical simulations (DNS) is discussed for channe ...

Time-domain solutions of Maxwell’s equations in homogeneous and isotropic media are paramount to studying transient or broadband phenomena. However, analytical solutions are generally unavailable for practical applications, while numerical solutions are co ...

We investigate the stability of the steady vertical path and the emerging trajectories of a buoyancy -driven annular disk as the diameter of its central hole is varied. The steady and axisymmetric wake associated with the steady vertical path of the disk, ...

Drifting and blowing snow are important features in polar and high mountain regions. They control the surface mass balance in windy conditions and influence sublimation of snow and ice surfaces. Despite their importance, model representations in weather an ...

In light of the challenges posed by climate change and the goals of the Paris Agreement, electricity generation is shifting to a more renewable and decentralized pattern, while the operation of systems like buildings is increasingly electrified. This calls ...

In this paper we will consider distributed Linear-Quadratic Optimal Control Problems dealing with Advection-Diffusion PDEs for high values of the Peclet number. In this situation, computational instabilities occur, both for steady and unsteady cases. A Str ...

The thesis is dedicated to the study of two main partial differential equations (PDEs) in fluid dynamics: the Navier-Stokes equations, which describe the motion of incompressible fluids, and the transport equation with divergence-free velocity fields, whic ...

This study evaluates available analytical wake models for flow prediction inside and downstream of wind farms of different sizes and layouts using large-eddy simulation (LES), and introduces an enhanced analytical framework. All the tested analytical wake ...

Dynamical system (DS) based motion planning offers collision-free motion, with closed-loop reactivity thanks to their analytical expression. It ensures that obstacles are not penetrated by reshaping a nominal DS through matrix modulation, which is construc ...

We consider on the torus the scaling limit of stochastic 2D (inviscid) fluid dynamics equations with transport noise to deterministic viscous equations. Quantitative estimates on the convergence rates are provided by combining analytic and probabilistic ar ...

Plasma turbulence plays a fundamental role in determining the performances of magnetic confinement fusion devices, such as tokamaks. Advances in computer science, combined with the development of efficient physical models, have significantly improved our u ...

This paper establishes a mean-field equation set and an energy theorem to provide a theoretical basis in view of the development of self-consistent, physics-based turbulent transport models for mean-field transport codes. A rigorous averaging procedure ide ...

Mathematical models and numerical simulations for the America's Cup

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Conditions for the local arrest of a hydraulic fracture by a region of larger toughness

On the duration of flood hydrograph using the Compound Poisson Process approximation

Buoyancy-tilted Shear Layers and Coherent Structures in Hyperpycnal River Plume Plunging

Formation mechanism and microstructural characteristics of a body-centered cubic phase in 3D printed 316L–CuCrZr multi-material structures, combining laser powder bed fusion with foils

Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis

Noise-induced transitions past the onset of a steady symmetry-breaking bifurcation: The case of the sudden expansion

A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects

Reliable data-driven decision-making through optimal transport

On the difficulty of determining Kármán "constants" from direct numerical simulations

The time-domain Cartesian multipole expansion of electromagnetic fields

Instability and trajectories of buoyancy-driven annular disks: A numerical study

Understanding snow saltation parameterizations: lessons from theory, experiments and numerical simulations

Quantifying the Unknown: Data-Driven Approaches and Applications in Energy Systems

A Streamline Upwind Petrov-Galerkin Reduced Order Method for Advection-Dominated Partial Differential Equations Under Optimal Control

Anomalous dissipation and other non-smooth phenomena in fluids

An improved analytical framework for flow prediction inside and downstream of wind farms

Reactive collision-free motion generation in joint space via dynamical systems and sampling-based MPC

Quantitative convergence rates for scaling limit of SPDEs with transport noise

Nonlinear simulation of plasma turbulence using a gyrokinetic moment-based approach

Mean-field transport equations and energy theorem for plasma edge turbulent transport