Sergey L. Gavrilyuk

According to our database, Sergey L. Gavrilyuk authored at least 20 papers between 2008 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

The conduit equation: Hyperbolic approximation and generalized Riemann problem.

Sergey L. Gavrilyuk, Boniface Nkonga, Keh-Ming Shyue

J. Comput. Phys., 2024

A first-order hyperbolic reformulation of the Cahn-Hilliard equation.

Firas Dhaouadi, Michael Dumbser, Sergey L. Gavrilyuk

CoRR, 2024

2023

Extended Lagrangian approach for the numerical study of multidimensional dispersive waves: Applications to the Serre-Green-Naghdi equations.

Sergey Tkachenko, Sergey L. Gavrilyuk, Jacques Massoni

J. Comput. Phys., March, 2023

Numerical study of the Serre-Green-Naghdi equations in 2D.

Sergey L. Gavrilyuk, Christian Klein

CoRR, 2023

An Eulerian hyperbolic model for heat transfer derived via Hamilton's principle: analytical and numerical study.

Firas Dhaouadi, Sergey L. Gavrilyuk

CoRR, 2023

Numerical validation of homogeneous multi-fluid models.

Duyen T. M. Phan, Sergey L. Gavrilyuk, Giovanni Russo

Appl. Math. Comput., 2023

2022

Hyperbolic relaxation models for thin films down an inclined plane.

Firas Dhaouadi, Sergey L. Gavrilyuk, Jean-Paul Vila

Appl. Math. Comput., 2022

2021

On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows.

Saray Busto, Michael Dumbser, Sergey L. Gavrilyuk, Kseniya Ivanova

J. Sci. Comput., 2021

On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems.

Saray Busto, Michael Dumbser, Cipriano Escalante, Nicolas Favrie, Sergey L. Gavrilyuk

J. Sci. Comput., 2021

High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension.

Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser

J. Comput. Phys., 2021

2019

Fluctuation splitting Riemann solver for a non-conservative modeling of shear shallow water flow.

Ashish Bhole, Boniface Nkonga, Sergey L. Gavrilyuk, Kseniya Ivanova

J. Comput. Phys., 2019

2018

Multi-dimensional shear shallow water flows: Problems and solutions.

Sergey L. Gavrilyuk, Kseniya Ivanova, Nicolas Favrie

J. Comput. Phys., 2018

2017

Stability Of Shear Shallow Water Flows with Free Surface.

A. A. Chesnokov, Gennady A. El, Sergey L. Gavrilyuk, Maxim V. Pavlov

SIAM J. Appl. Math., 2017

A model and numerical method for compressible flows with capillary effects.

Kevin Schmidmayer, Fabien Petitpas, Eric Daniel, Nicolas Favrie, Sergey L. Gavrilyuk

J. Comput. Phys., 2017

2015

Multi-solid and multi-fluid diffuse interface model: Applications to dynamic fracture and fragmentation.

Serge Ndanou, Nicolas Favrie, Sergey L. Gavrilyuk

J. Comput. Phys., 2015

2014

A thermodynamically compatible splitting procedure in hyperelasticity.

Nicolas Favrie, Sergey L. Gavrilyuk, Serge Ndanou

J. Comput. Phys., 2014

2012

Diffuse interface model for compressible fluid - Compressible elastic-plastic solid interaction.

Nicolas Favrie, Sergey L. Gavrilyuk

J. Comput. Phys., 2012

2010

A numerical scheme for the Green-Naghdi model.

Olivier Le Métayer, Sergey L. Gavrilyuk, Sarah Hank

J. Comput. Phys., 2010

2009

Solid-fluid diffuse interface model in cases of extreme deformations.

Nicolas Favrie, Sergey L. Gavrilyuk, Richard Saurel

J. Comput. Phys., 2009

2008

Modelling wave dynamics of compressible elastic materials.

Sergey L. Gavrilyuk, Nicolas Favrie, Richard Saurel

J. Comput. Phys., 2008