Bibliography

References used in this documentation:

Eul57

L. Euler. Principes généraux du mouvement des fluides. Mémoires de l'Académie des Sciences de Berlin, pages 274–315, 1757.

GR09

C. Geuzaine and J.-F. Remacle. Gmsh: A 3-D finite element mesh generator with built-in pre-and post-processing facilities. International Journal for Numerical Methods in Engineering, 79(11):1309–1331, 2009.

GZI+79

S.K. Godunov, A. Zabrodin, M. Ivanov, A. Kraiko, and G. Prokopov. Resolution numerique des problemes multidimensionnels de la dynamique des gaz. Editions Mir, Moscou, 1979.

HA68

F. H. Harlow and A. A. Amsden. Numerical calculation of almost incompressible flow. Journal of Computational Physics, 3(1):80–93, 1968.

KMB+01

A. Kapila, R. Menikoff, J. Bdzil, S. Son, and D. Stewart. Two-phase modeling of DDT in granular materials: Reduced equations. Physics of Fluids, 13:3002–3024, 2001.

LMSN14

S. Le Martelot, R. Saurel, and B. Nkonga. Towards the direct numerical simulation of nucleate boiling flows. International Journal of Multiphase Flow, 66:62–78, 2014.

LMetayerS16

O. Le Métayer and R. Saurel. The Noble-Abel Stiffened-Gas equation of state. Physics of Fluids, 28(4):046102, 2016.

Roe86

P. L. Roe. Characteristic-based schemes for the Euler equations. Annual review of fluid mechanics, 18(1):337–365, 1986.

SPB09

R. Saurel, F. Petitpas, and R.A. Berry. Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures. Journal of Computational Physics, 228(5):1678–1712, 2009.

SPD19

K. Schmidmayer, F. Petitpas, and E. Daniel. Adaptive Mesh Refinement algorithm based on dual trees for cells and faces for multiphase compressible flows. Journal of Computational Physics, 388:252–278, 2019.

SPD+17

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

SPLMD20

K. Schmidmayer, F. Petitpas, S. Le Martelot, and E. Daniel. ECOGEN: An open-source tool for multiphase, compressible, multiphysics flows. Computer Physics Communications, 251:107093, 2020. URL: https://doi.org/10.1016/j.cpc.2019.107093, doi:10.1016/j.cpc.2019.107093.

SX14

K.M. Shyue and F. Xiao. An Eulerian interface sharpening algorithm for compressible two-phase flow: the algebraic THINC approach. Journal of Computational Physics, 268:326–354, 2014.

Tor13

E.F. Toro. Riemann solvers and numerical methods for fluid dynamics: a practical introduction. Springer Science & Business Media, 2013.

VAVLR97

G.D. Van Albada, B. Van Leer, and W. Roberts. A comparative study of computational methods in cosmic gas dynamics. In Upwind and High-Resolution Schemes, pages 95–103. Springer, 1997.

VL74

B. Van Leer. Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme. Journal of Computational Physics, 14(4):361–370, 1974.

VL77

B. Van Leer. Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection. Journal of computational physics, 23(3):276–299, 1977.

LeMetayerMS04

O. Le Métayer, J. Massoni, and R. Saurel. Elaborating equations of state of a liquid and its vapor for two-phase flow models. International Journal of Thermal Sciences, 43:265–276, 2004.