Publications related to Constraint-aware neural networks for Riemann problems

A counterexample to well-posedness of entropy solutions to the compressible Euler system

We consider entropy solutions to the Cauchy problem for the isentropic compressible Euler equations in the spatially periodic case. In more than one space dimension, the methods developed by De Lellis-Szekelyhidi enable us to show here failure of uniquenes ...

World Scientific Publ Co Pte Ltd2014

On the energy dissipation rate of solutions to the compressible isentropic Euler system

Elisabetta Chiodaroli

In this paper we extend and complement the results in [4] on the well-posedness issue for weak solutions of the compressible isentropic Euler system in 2 space dimensions with pressure law

p(\rho) = \rho^\gamme, \geq 1

. First we show that every Riemann p ...

Springer Verlag2014

Numerical simulation of orbitally shaken viscous fluids with free surface

Alfio Quarteroni, Florian Maria Wurm, David Hacker, Marco Discacciati, Stéphanie Tissot, Samuel Quinodoz

Orbitally shaken bioreactors are an emerging alternative to stirred-tank bioreactors for large-scale mammalian cell culture, but their fluid dynamics is still not well defined. Among the theoretical and practical issues that remain to be resolved, the char ...

Wiley-Blackwell2013

Electron and ion kinetic effects on non-linearly driven electron plasma and ion acoustic waves

Stephan Brunner

Fully non-linear kinetic simulations of electron plasma and ion acoustic waves (IAWs) have been carried out with a new multi-species, parallelized Vlasov code. The numerical implementation of the Vlasov model and the methods used to compute the wave freque ...

Amer Inst Physics2013

Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization

Alfio Quarteroni, Gianluigi Rozza, Nicola Parolini, Matteo Lombardi

The numerical simulation of free-surface flows around sailing boats is a complex topic that addresses multiple mathematical tasks: the correct study of the flow field around a rigid hull, the numerical simulation of the hull dynamics, the deformation of th ...

Springer2012

Exact solutions of ideal dam break flood for arbitrary cross-section.

Christophe Ancey, Joris Heyman, Hongbo Ma

Even though it oversimplifies reality, the dam-break problem for frictionless fluids provides predictions relevant to various manmade and natural dam-break floods. The exact solution can also be used to test numerical schemes. However, as far as we are awa ...

2012

Traveling-wave deceleration of heavy polar molecules in low-field-seeking states

Andreas Osterwalder

We demonstrate the deceleration of heavy polar molecules in low-field-seeking states by combining a cryogenic source and a traveling-wave Stark decelerator. The cryogenic source provides a high-intensity beam with low speed and temperature, and the traveli ...

American Physical Society2012

Forced and Self Oscillations of Hydraulic Systems Induced by Cavitation Vortex Rope of Francis Turbines

Sébastien Alligné

With economical energy market strategies based on instantaneous pricings of electricity as function of the demand or the predictions, operators harness more hydroelectric facilities to off-design operating points to cover the variations of the electricity ...

EPFL2011

Numerical modeling and neural networks to identify model parameters from piezocone tests: I. FEM analysis of penetration in two-phase continuum

Laurent Vulliet, Rafal Filip Obrzud, Andrzej Truty

This study presents a numerical approach designed for material parameter identification for the coupled hydro-mechanical boundary value problem (BVP) of the piezocone test (CPTU) in normally and lightly overconsolidated clayey soils. The study is presented ...

Wiley-Blackwell2011

Implementing global Abelian symmetries in projected entangled-pair state algorithms

Due to the unfavorable scaling of tensor-network methods with the refinement parameter M, new approaches are necessary to improve the efficiency of numerical simulations based on such states, in particular for gapless, strongly entangled systems. In one-di ...

2011

Constraint-aware neural networks for Riemann problems

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A counterexample to well-posedness of entropy solutions to the compressible Euler system

On the energy dissipation rate of solutions to the compressible isentropic Euler system

Numerical simulation of orbitally shaken viscous fluids with free surface

Electron and ion kinetic effects on non-linearly driven electron plasma and ion acoustic waves

Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization

Exact solutions of ideal dam break flood for arbitrary cross-section.

Traveling-wave deceleration of heavy polar molecules in low-field-seeking states

Forced and Self Oscillations of Hydraulic Systems Induced by Cavitation Vortex Rope of Francis Turbines

Numerical modeling and neural networks to identify model parameters from piezocone tests: I. FEM analysis of penetration in two-phase continuum

Implementing global Abelian symmetries in projected entangled-pair state algorithms

Forced and Self Oscillations of Hydraulic Systems Induced by Cavitation Vortex Rope of Francis Turbines

A counterexample to well-posedness of entropy solutions to the compressible Euler system

Traveling-wave deceleration of heavy polar molecules in low-field-seeking states

Implementing global Abelian symmetries in projected entangled-pair state algorithms

On the energy dissipation rate of solutions to the compressible isentropic Euler system

Numerical simulation of orbitally shaken viscous fluids with free surface

Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization

Electron and ion kinetic effects on non-linearly driven electron plasma and ion acoustic waves

Exact solutions of ideal dam break flood for arbitrary cross-section.

Numerical modeling and neural networks to identify model parameters from piezocone tests: I. FEM analysis of penetration in two-phase continuum