Mathematical and numerical modeling of two-phase compressible flows with micro-inertia S Gavrilyuk, R Saurel Journal of Computational Physics 175 (1), 326-360, 2002 | 222 | 2002 |

Solid–fluid diffuse interface model in cases of extreme deformations N Favrie, SL Gavrilyuk, R Saurel Journal of computational physics 228 (16), 6037-6077, 2009 | 185 | 2009 |

A multiphase model with internal degrees of freedom: application to shock–bubble interaction R Saurel, S Gavrilyuk, F Renaud Journal of Fluid Mechanics 495, 283-321, 2003 | 176 | 2003 |

A numerical scheme for the Green–Naghdi model O Le Métayer, S Gavrilyuk, S Hank Journal of Computational Physics 229 (6), 2034-2045, 2010 | 172 | 2010 |

Modelling wave dynamics of compressible elastic materials SL Gavrilyuk, N Favrie, R Saurel Journal of computational physics 227 (5), 2941-2969, 2008 | 149 | 2008 |

Shock jump relations for multiphase mixtures with stiff mechanical relaxation R Saurel, O Le Metayer, J Massoni, S Gavrilyuk Shock waves 16, 209-232, 2007 | 148 | 2007 |

A new model of roll waves: comparison with Brock’s experiments GL Richard, SL Gavrilyuk Journal of Fluid Mechanics 698, 374-405, 2012 | 132 | 2012 |

The classical hydraulic jump in a model of shear shallow-water flows GL Richard, SL Gavrilyuk Journal of Fluid Mechanics 725, 492-521, 2013 | 115 | 2013 |

Multi-solid and multi-fluid diffuse interface model: Applications to dynamic fracture and fragmentation S Ndanou, N Favrie, S Gavrilyuk Journal of Computational Physics 295, 523-555, 2015 | 104 | 2015 |

A rapid numerical method for solving Serre–Green–Naghdi equations describing long free surface gravity waves N Favrie, S Gavrilyuk Nonlinearity 30 (7), 2718, 2017 | 101 | 2017 |

Diffuse interface model for compressible fluid–compressible elastic–plastic solid interaction N Favrie, SL Gavrilyuk Journal of Computational Physics 231 (7), 2695-2723, 2012 | 100 | 2012 |

A model and numerical method for compressible flows with capillary effects K Schmidmayer, F Petitpas, E Daniel, N Favrie, S Gavrilyuk Journal of Computational Physics 334, 468-496, 2017 | 86 | 2017 |

Generalized vorticity for bubbly liquidand dispersive shallow water equations SL Gavrilyuk, VM Teshukov Continuum Mechanics and Thermodynamics 6 (13), 365-382, 2001 | 81 | 2001 |

A new form of governing equations of fluids arising from Hamilton's principle S Gavrilyuk, H Gouin International Journal of Engineering Science 37 (12), 1495-1520, 1999 | 79 | 1999 |

On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems S Busto, M Dumbser, C Escalante, N Favrie, S Gavrilyuk Journal of Scientific Computing 87 (2), 48, 2021 | 66 | 2021 |

Criterion of hyperbolicity in hyperelasticity in the case of the stored energy in separable form S Ndanou, N Favrie, S Gavrilyuk Journal of Elasticity 115 (1), 1-25, 2014 | 66 | 2014 |

Lagrangian coordinates for a drift-flux model of a gas-liquid mixture SL Gavrilyuk, J Fabre International journal of multiphase flow 22 (3), 453-460, 1996 | 65 | 1996 |

Dispersive nonlinear waves in two‐layer flows with free surface. I. Model derivation and general properties R Barros, SL Gavrilyuk, VM Teshukov Studies in Applied Mathematics 119 (3), 191-211, 2007 | 58 | 2007 |

Spilling breakers in shallow water: applications to Favre waves and to the shoaling and breaking of solitary waves SL Gavrilyuk, VY Liapidevskii, AA Chesnokov Journal of Fluid Mechanics 808, 441-468, 2016 | 57 | 2016 |

Modelling dynamic and irreversible powder compaction R Saurel, N Favrie, F Petitpas, MH Lallemand, SL Gavrilyuk Journal of Fluid Mechanics 664, 348-396, 2010 | 54 | 2010 |