Diffuse-interface capturing methods for compressible two-phase flows

R Saurel, C Pantano - Annual Review of Fluid Mechanics, 2018 - annualreviews.org
Simulation of compressible flows became a routine activity with the appearance of shock-
/contact-capturing methods. These methods can determine all waves, particularly …

The hllc riemann solver

EF Toro - Shock waves, 2019 - Springer
Abstract The HLLC (Harten–Lax–van Leer contact) approximate Riemann solver for
computing solutions to hyperbolic systems by means of finite volume and discontinuous …

A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems

M Dumbser, DS Balsara - Journal of Computational Physics, 2016 - Elsevier
In this paper a new, simple and universal formulation of the HLLEM Riemann solver (RS) is
proposed that works for general conservative and non-conservative systems of hyperbolic …

A mixture-energy-consistent six-equation two-phase numerical model for fluids with interfaces, cavitation and evaporation waves

M Pelanti, KM Shyue - Journal of Computational Physics, 2014 - Elsevier
We model liquid–gas flows with cavitation by a variant of the six-equation single-velocity two-
phase model with stiff mechanical relaxation of Saurel–Petitpas–Berry (Saurel et al …

Sockeye: A one-dimensional, two-phase, compressible flow heat pipe application

JE Hansel, RA Berry, D Andrs, MS Kunick… - Nuclear …, 2021 - Taylor & Francis
Sockeye is a heat pipe analysis application based on the Multiphysics Object-Oriented
Simulation Environment (MOOSE) finite element framework. The primary purpose of …

A numerical model for multiphase liquid–vapor–gas flows with interfaces and cavitation

M Pelanti, KM Shyue - International journal of multiphase flow, 2019 - Elsevier
We are interested in multiphase flows involving the liquid and vapor phases of one species
and a third inert gaseous phase. We describe these flows by a hyperbolic single-velocity …

A pressure‐based method for weakly compressible two‐phase flows under a Baer–Nunziato type model with generic equations of state and pressure and velocity …

B Re, R Abgrall - … Journal for Numerical Methods in Fluids, 2022 - Wiley Online Library
Within the framework of diffuse interface methods, we derive a pressure‐based Baer–
Nunziato type model well‐suited to weakly compressible multiphase flows. The model can …

A Godunov-type method for the seven-equation model of compressible two-phase flow

A Ambroso, C Chalons, PA Raviart - Computers & Fluids, 2012 - Elsevier
We are interested in the numerical approximation of the solutions of the compressible seven-
equation two-phase flow model. We propose a numerical srategy based on the derivation of …

Two approaches to compute unsteady compressible two-phase flow models with stiff relaxation terms

JM Hérard, G Jomée - ESAIM: Mathematical Modelling and …, 2023 - esaim-m2an.org
The paper deals with the numerical modeling of two-phase flows while using Baer–Nunziato
type models. Focus is given here on the numerical treatment of source terms that involve …

A robust high-resolution discrete-equations method for compressible multi-phase flow with accurate interface capturing

T Paula, S Adami, NA Adams - Journal of Computational Physics, 2023 - Elsevier
The discrete-equations method (DEM)[1] provides a universal approach to solve multi-phase-
flow equations as it combines the solutions of pairwise Riemann problems. Although very …