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

An overview of some recent results on the Euler system of isentropic gas dynamics

This overview is concerned with the well-posedness problem for the isentropic compressible Euler equations of gas dynamics. The results we present are in line with the programof investigatingthe efficiency of different selection criteria proposed in the li ...

Springer Heidelberg2016

Global Ill-Posedness of the Isentropic System of Gas Dynamics

Elisabetta Chiodaroli, Camillo De Lellis

We consider the isentropic compressible Euler system in 2 space dimensions with pressure law p () = (2) and we show the existence of classical Riemann data, i.e. pure jump discontinuities across a line, for which there are infinitely many admissible bounde ...

Wiley-Blackwell2015

3D ALE Finite-Element Method for Two-Phase Flows With Phase Change

John Richard Thome, Navid Borhani, Gustavo Rabello Dos Anjos

We seek to study numerically two-phase flow phenomena with phase change through the finite-element method (FEM) and the arbitrary Lagrangian-Eulerian (ALE) framework. This method is based on the so-called one-fluid formulation; thus, only one set of equati ...

Taylor & Francis2014

Flow simulation of a Pelton bucket using finite volume particle method

François Avellan, Ebrahim Jahanbakhsh, Christian Vessaz

The objective of the present paper is to perform an accurate numerical simulation of the high-speed water jet impinging on a Pelton bucket. To reach this goal, the Finite Volume Particle Method (FVPM) is used to discretize the governing equations. FVPM is ...

International Association For Hydraulic Research2014

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

Local discontinuous Galerkin methods for fractional diffusion equations

Jan Sickmann Hesthaven

We consider the development and analysis of local discontinuous Galerkin methods for fractional diffusion problems in one space dimension, characterized by having fractional derivatives, parameterized by beta in [1,2]. After demonstrating that a classic ap ...

EDP Sciences2013

Nondispersive solutions to the $L^2$-critical half-wave equation

Joachim Krieger

We consider the focusing

L^2

-critical half-wave equation in one space dimension

i \partial_t u = D u - |u|^2 u,

where

D

denotes the first-order fractional derivative. Standard arguments show that there is a critical threshold

M_* > 0

such that all ...

Springer Verlag2013

Three-dimensional granular model of semi-solid metallic alloys undergoing solidification: Fluid flow and localization of feeding

Michel Rappaz, Jean-Marie Drezet, André Phillion, Meisam Sistaninia

A three-dimensional (3-D) granular model which simulates fluid flow within solidifying alloys with a globular microstructure, such as that found in grain refined Al alloys, is presented. The model geometry within a representative volume element (RVE) consi ...

Elsevier2012

A stabilized finite volume element formulation for sedimentation-consolidation processes

Ricardo Esteban Ruiz Baier

A model of sedimentation-consolidation processes in so-called clarifier-thickener units is given by a parabolic equation describing the evolution of the local solids concentration coupled with a version of the Stokes system for an incompressible fluid desc ...

Siam Publications2012

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Adelmo Cristiano Innocenza Malossi

The aim of this work is the development of a geometrical multiscale framework for the simulation of the human cardiovascular system under either physiological or pathological conditions. More precisely, we devise numerical algorithms for the partitioned so ...

EPFL2012

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

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An overview of some recent results on the Euler system of isentropic gas dynamics

Global Ill-Posedness of the Isentropic System of Gas Dynamics

3D ALE Finite-Element Method for Two-Phase Flows With Phase Change

Flow simulation of a Pelton bucket using finite volume particle method

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

Local discontinuous Galerkin methods for fractional diffusion equations

Nondispersive solutions to the $L^2$-critical half-wave equation

Three-dimensional granular model of semi-solid metallic alloys undergoing solidification: Fluid flow and localization of feeding

A stabilized finite volume element formulation for sedimentation-consolidation processes

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Flow simulation of a Pelton bucket using finite volume particle method

Local discontinuous Galerkin methods for fractional diffusion equations

Nondispersive solutions to the $L^2$-critical half-wave equation

An overview of some recent results on the Euler system of isentropic gas dynamics

A stabilized finite volume element formulation for sedimentation-consolidation processes

Global Ill-Posedness of the Isentropic System of Gas Dynamics

Three-dimensional granular model of semi-solid metallic alloys undergoing solidification: Fluid flow and localization of feeding

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

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

3D ALE Finite-Element Method for Two-Phase Flows With Phase Change