Sergey L. Gavrilyuk

22 papers Journal 22
YearRankTypeTitle / Venue / Authors
2024 J jnl
A first-order hyperbolic reformulation of the Cahn-Hilliard equation.
CoRR
Firas Dhaouadi, Michael Dumbser, Sergey L. Gavrilyuk
2024 J jnl
The conduit equation: Hyperbolic approximation and generalized Riemann problem.
J. Comput. Phys.
Sergey L. Gavrilyuk, Boniface Nkonga, Keh-Ming Shyue
2023 J jnl
An Eulerian hyperbolic model for heat transfer derived via Hamilton's principle: analytical and numerical study.
CoRR
Firas Dhaouadi, Sergey L. Gavrilyuk
2023 J jnl
Extended Lagrangian approach for the numerical study of multidimensional dispersive waves: Applications to the Serre-Green-Naghdi equations.
J. Comput. Phys.
Sergey Tkachenko, Sergey L. Gavrilyuk, Jacques Massoni
2023 J jnl
Numerical study of the Serre-Green-Naghdi equations in 2D.
CoRR
Sergey L. Gavrilyuk, Christian Klein
2023 J jnl
Numerical validation of homogeneous multi-fluid models.
Appl. Math. Comput.
Duyen T. M. Phan, Sergey L. Gavrilyuk, Giovanni Russo
2022 J jnl
Extended Lagrangian approach for the numerical study of multidimensional dispersive waves: applications to the Serre-Green-Naghdi equations.
CoRR
Sergey Tkachenko, Sergey L. Gavrilyuk, Jacques Massoni
2022 J jnl
Hyperbolic relaxation models for thin films down an inclined plane.
Appl. Math. Comput.
Firas Dhaouadi, Sergey L. Gavrilyuk, Jean-Paul Vila
2021 J jnl
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension.
J. Comput. Phys.
Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser
2021 J jnl
On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems.
J. Sci. Comput.
Saray Busto, Michael Dumbser, Cipriano Escalante, Nicolas Favrie, Sergey L. Gavrilyuk
2021 J jnl
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows.
J. Sci. Comput.
Saray Busto, Michael Dumbser, Sergey L. Gavrilyuk, Kseniya Ivanova
2020 J jnl
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension.
CoRR
Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser
2019 J jnl
Fluctuation splitting Riemann solver for a non-conservative modeling of shear shallow water flow.
J. Comput. Phys.
Ashish Bhole, Boniface Nkonga, Sergey L. Gavrilyuk, Kseniya Ivanova
2018 J jnl
Multi-dimensional shear shallow water flows: Problems and solutions.
J. Comput. Phys.
Sergey L. Gavrilyuk, Kseniya Ivanova, Nicolas Favrie
2017 J jnl
A model and numerical method for compressible flows with capillary effects.
J. Comput. Phys.
Kevin Schmidmayer, Fabien Petitpas, Eric Daniel, Nicolas Favrie, Sergey L. Gavrilyuk
2017 J jnl
Stability Of Shear Shallow Water Flows with Free Surface.
SIAM J. Appl. Math.
A. A. Chesnokov, Gennady A. El, Sergey L. Gavrilyuk, Maxim V. Pavlov
2015 J jnl
Multi-solid and multi-fluid diffuse interface model: Applications to dynamic fracture and fragmentation.
J. Comput. Phys.
Serge Ndanou, Nicolas Favrie, Sergey L. Gavrilyuk
2014 J jnl
A thermodynamically compatible splitting procedure in hyperelasticity.
J. Comput. Phys.
Nicolas Favrie, Sergey L. Gavrilyuk, Serge Ndanou
2012 J jnl
Diffuse interface model for compressible fluid - Compressible elastic-plastic solid interaction.
J. Comput. Phys.
Nicolas Favrie, Sergey L. Gavrilyuk
2010 J jnl
A numerical scheme for the Green-Naghdi model.
J. Comput. Phys.
Olivier Le Métayer, Sergey L. Gavrilyuk, Sarah Hank
2009 J jnl
Solid-fluid diffuse interface model in cases of extreme deformations.
J. Comput. Phys.
Nicolas Favrie, Sergey L. Gavrilyuk, Richard Saurel
2008 J jnl
Modelling wave dynamics of compressible elastic materials.
J. Comput. Phys.
Sergey L. Gavrilyuk, Nicolas Favrie, Richard Saurel