Sergey L. Gavrilyuk

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 16

Top Topics

General Linear Model

Partial Differential Equations

Top Venues

J. Comput. Phys.

Appl. Math. Comput.

J. Sci. Comput.

Publications

Sergey L. Gavrilyuk, Boniface Nkonga, Keh-Ming Shyue
The conduit equation: Hyperbolic approximation and generalized Riemann problem. J. Comput. Phys. 514 (2024)
Firas Dhaouadi, Sergey L. Gavrilyuk
An Eulerian hyperbolic model for heat transfer derived via Hamilton's principle: analytical and numerical study. CoRR (2023)
Sergey L. Gavrilyuk, Christian Klein
Numerical study of the Serre-Green-Naghdi equations in 2D. CoRR (2023)
Duyen T. M. Phan, Sergey L. Gavrilyuk, Giovanni Russo
Numerical validation of homogeneous multi-fluid models. Appl. Math. Comput. 441 (2023)
Sergey Tkachenko, Sergey L. Gavrilyuk, Jacques Massoni
Extended Lagrangian approach for the numerical study of multidimensional dispersive waves: Applications to the Serre-Green-Naghdi equations. J. Comput. Phys. 477 (2023)
Firas Dhaouadi, Sergey L. Gavrilyuk, Jean-Paul Vila
Hyperbolic relaxation models for thin films down an inclined plane. Appl. Math. Comput. 433 (2022)
Sergey Tkachenko, Sergey L. Gavrilyuk, Jacques Massoni
Extended Lagrangian approach for the numerical study of multidimensional dispersive waves: applications to the Serre-Green-Naghdi equations. CoRR (2022)
Saray Busto, Michael Dumbser, Sergey L. Gavrilyuk, Kseniya Ivanova
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows. J. Sci. Comput. 88 (1) (2021)
Saray Busto, Michael Dumbser, Cipriano Escalante, Nicolas Favrie, Sergey L. Gavrilyuk
On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems. J. Sci. Comput. 87 (2) (2021)
Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. J. Comput. Phys. 426 (2021)
Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. CoRR (2020)
Ashish Bhole, Boniface Nkonga, Sergey L. Gavrilyuk, Kseniya Ivanova
Fluctuation splitting Riemann solver for a non-conservative modeling of shear shallow water flow. J. Comput. Phys. 392 (2019)
Sergey L. Gavrilyuk, Kseniya Ivanova, Nicolas Favrie
Multi-dimensional shear shallow water flows: Problems and solutions. J. Comput. Phys. 366 (2018)
A. A. Chesnokov, G. A. El, Sergey L. Gavrilyuk, M. V. Pavlov
Stability Of Shear Shallow Water Flows with Free Surface. SIAM J. Appl. Math. 77 (3) (2017)
Kevin Schmidmayer, Fabien Petitpas, Eric Daniel, Nicolas Favrie, Sergey L. Gavrilyuk
A model and numerical method for compressible flows with capillary effects. J. Comput. Phys. 334 (2017)
Serge Ndanou, Nicolas Favrie, Sergey L. Gavrilyuk
Multi-solid and multi-fluid diffuse interface model: Applications to dynamic fracture and fragmentation. J. Comput. Phys. 295 (2015)
Nicolas Favrie, Sergey L. Gavrilyuk, Serge Ndanou
A thermodynamically compatible splitting procedure in hyperelasticity. J. Comput. Phys. 270 (2014)
Nicolas Favrie, Sergey L. Gavrilyuk
Diffuse interface model for compressible fluid - Compressible elastic-plastic solid interaction. J. Comput. Phys. 231 (7) (2012)
Olivier Le Métayer, Sergey L. Gavrilyuk, Sarah Hank
A numerical scheme for the Green-Naghdi model. J. Comput. Phys. 229 (6) (2010)
Nicolas Favrie, Sergey L. Gavrilyuk, Richard Saurel
Solid-fluid diffuse interface model in cases of extreme deformations. J. Comput. Phys. 228 (16) (2009)
Sergey L. Gavrilyuk, Nicolas Favrie, Richard Saurel
Modelling wave dynamics of compressible elastic materials. J. Comput. Phys. 227 (5) (2008)