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A four-field three-phase flow model with both miscible and immiscible components
Jean-Marc Hérard, Olivier Hurisse and Lucie Quibel ESAIM: Mathematical Modelling and Numerical Analysis 55 S251 (2021) https://doi.org/10.1051/m2an/2020037
Numerical Approximation of Hyperbolic Systems of Conservation Laws
Edwige Godlewski and Pierre-Arnaud Raviart Applied Mathematical Sciences, Numerical Approximation of Hyperbolic Systems of Conservation Laws 118 627 (2021) https://doi.org/10.1007/978-1-0716-1344-3_7
Validation Strategy of Reduced-Order Two-Fluid Flow Models Based on a Hierarchy of Direct Numerical Simulations
A positivity-preserving central-upwind scheme for isentropic two-phase flows through deviated pipes
Gerardo Hernandez-Duenas, Ulises Velasco-García and Jorge X. Velasco-Hernández ESAIM: Mathematical Modelling and Numerical Analysis 53(5) 1433 (2019) https://doi.org/10.1051/m2an/2019003
A splitting method adapted to the simulation of mixed flows in pipes with a compressible two-layer model
Charles Demay, Christian Bourdarias, Benoît de Laage de Meux, Stéphane Gerbi and Jean-Marc Hérard ESAIM: Mathematical Modelling and Numerical Analysis 53(2) 405 (2019) https://doi.org/10.1051/m2an/2018051
Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows
Numerical simulation of a compressible two-layer model: A first attempt with an implicit–explicit splitting scheme
Charles Demay, Christian Bourdarias, Benoît de Laage de Meux, Stéphane Gerbi and Jean-Marc Hérard Journal of Computational and Applied Mathematics 346 357 (2019) https://doi.org/10.1016/j.cam.2018.06.027
A fast, robust, and simple Lagrangian–Eulerian solver for balance laws and applications
Theory, Numerics and Applications of Hyperbolic Problems II
Nicolas Seguin Springer Proceedings in Mathematics & Statistics, Theory, Numerics and Applications of Hyperbolic Problems II 237 577 (2018) https://doi.org/10.1007/978-3-319-91548-7_43
An asymptotic preserving multidimensional ALE method for a system of two compressible flows coupled with friction
A well‐balanced scheme to capture non‐explicit steady states in the Euler equations with gravity
Vivien Desveaux, Markus Zenk, Christophe Berthon and Christian Klingenberg International Journal for Numerical Methods in Fluids 81(2) 104 (2016) https://doi.org/10.1002/fld.4177
Validation of a two-fluid model on unsteady liquid–vapor water flows
Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
Rémi Abgrall and Sophie Dallet Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems 78 749 (2014) https://doi.org/10.1007/978-3-319-05591-6_75
Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
Jean-Marc Hérard, Olivier Hurisse, Antoine Morente and Khaled Saleh Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems 78 857 (2014) https://doi.org/10.1007/978-3-319-05591-6_86