88 citations · 157 across the 24 of their papers we have counts for
5 papers · 2 filters
Convergence and error estimates of a penalization finite volume method for the compressible Navier-Stokes system
Mária Lukáčová-Medvid'ová, Bangwei She, Yuhuan Yuan
In numerical simulations a smooth domain occupied by a fluid has to be approximated by a computational domain that typically does not coincide with a physical domain. Consequently,…
On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions
Rémi Abgrall, Mária Lukácova-Medvid'ová, Philipp Öffner
In this work, we prove the convergence of residual distribution schemes to dissipative weak solutions of the Euler equations. We need to guarantee that the residual distribution sc…
Local Characteristic Decomposition Based Central-Upwind Scheme
Alina Chertock, Shaoshuai Chu, Michael Herty +2
We propose novel less diffusive schemes for conservative one- and two-dimensional hyperbolic systems of nonlinear partial differential equations (PDEs). The main challenges in the…
An all Mach number finite volume method for isentropic two-phase flow
Maria Lukacova-Medvid'ova, Gabriella Puppo, Andrea Thomann
We present an implicit-explicit finite volume scheme for isentropic two phase flow in all Mach number regimes. The underlying model belongs to the class of symmetric hyperbolic the…
On a hybrid continuum-kinetic model for complex fluids
A. Chertock, P. Degond, G. Dimarco +2
In the present work, we first introduce a general framework for modelling complex multiscale fluids and then focus on the derivation and analysis of a new hybrid continuum-kinetic…