A simple HLLC-type Riemann solver for compressible non-equilibrium two-phase flows

2015 ◽  
Vol 111 ◽  
pp. 159-178 ◽  
Author(s):  
Damien Furfaro ◽  
Richard Saurel
Keyword(s):  
Riemann Solver ◽  
Two Phase Flows ◽  
Two Phase ◽  
Non Equilibrium

scholarly journals Riemann solver with internal reconstruction (RSIR) for compressible single-phase and non-equilibrium two-phase flows

2020 ◽  
Vol 408 ◽  
pp. 109176
Author(s):  
Quentin Carmouze ◽  
Richard Saurel ◽  
Alexandre Chiapolino ◽  
Emmanuel Lapebie
Keyword(s):  
Single Phase ◽  
Riemann Solver ◽  
Two Phase Flows ◽  
Two Phase ◽  
Non Equilibrium

Zuber-Type Parameter Distributions for Non-Equilibrium Two-Phase Flows: Generalization for Annular Channel and Rod Cluster Geometries

2013 ◽  
Author(s):  
Y. Kornienko
Keyword(s):  
Current Method ◽  
Annular Channel ◽  
Elementary Functions ◽  
Two Phase Flows ◽  
Principle Of Superposition ◽  
Two Phase ◽  
Drift Flux Model ◽  
Drift Flux ◽  
Cross Section Profile ◽  
Non Equilibrium

This study presents the main results of the analysis of the previously developed generalized hierarchical closed system of analytical closure relations for the distribution parameters (DPs) Cks (k = f - fluid or g - vapor; s = 0,1,2,3 - mass, energy, momentum) that are used in quasi-one-dimensional form of the conservation laws for mass, momentum and energy in non-equilibrium two-phase flows. The current method has been expanded to account for non-uniform in cross-section profile of void fraction. The main assumptions of the received quadrature relationships for DP are: (a) the use of the drift flux model, (b) the quasi-steady-state approximation, and (c) the power-mode approximations of the local distribution profiles of the variables. These DPs Cks quadrature are expressed in terms of elementary functions, they directly reflect the principle of superposition, generalize and unify not only the Zuber-Findlay method, but also Hancox-Nicoll and Hibiki-Ishii methods. The revealed complementarity properties are particularly useful for the purposes of testing, validating and verifying DPs.

scholarly journals A Non Homogeneous Riemann Solver for shallow water and two phase flows

2006 ◽  
Vol 76 (4) ◽  
pp. 391-402 ◽  
Author(s):  
Fayssal Benkhaldoun ◽  
Laure Quivy
Keyword(s):  
Shallow Water ◽  
Riemann Solver ◽  
Two Phase Flows ◽  
Two Phase

scholarly journals Analysis and computation of non-equilibrium two-phase flows

Sadhana ◽  
1997 ◽  
Vol 22 (3) ◽  
pp. 295-321 ◽  
Author(s):  
Abhijit Guha
Keyword(s):  
Two Phase Flows ◽  
Two Phase ◽  
Non Equilibrium

Implementation of Approximate Riemann Solver to Two-Phase Flows in Mortar Systems

2010 ◽  
Vol 77 (5) ◽  
Author(s):  
Ragini Acharya ◽  
Kenneth Kuo
Keyword(s):  
Mathematical Model ◽  
Three Dimensional ◽  
Test Problems ◽  
Riemann Solver ◽  
Rarefaction Waves ◽  
Two Phase Flows ◽  
Specific System ◽  
Two Phase ◽  
Approximate Riemann Solver ◽  
Projectile Motion

This work presents a mathematical model for the two-phase flows in the mortar systems and demonstrates the application of approximate Riemann solver on such model. The mathematical model for the two-phase gas-dynamical processes in the mortar tube consists of a system of first-order, nonlinear coupled partial differential equations with inhomogeneous terms. The model poses an initial value problem with discontinuous initial and boundary conditions that arise due to the design complexity and nonuniformity of granular propellant distribution in the mortar tube. The governing equations in this model possess characteristics of the Riemann problem. Therefore, a high-resolution Godunov-type shock-capturing approach was used to address the formation of flow structure such as shock waves, contact discontinuities, and rarefaction waves. A linearized approximate Riemann solver based on the Roe–Pike method was modified for the two-phase flows to compute fully nonlinear wave interactions and to directly provide upwinding properties in the scheme. An entropy fix based on Harten–Heyman method was used with van Leer flux limiter for total variation diminishing. The three-dimensional effects were simulated by incorporating an unsplit multidimensional wave propagation method, which accounted for discontinuities traveling in both normal and oblique coordinate directions. A mesh generation algorithm was developed to account for the projectile motion and coupled with the approximate Riemann solver. The numerical method was verified by using exact solutions of three test problems. The specific system considered in this work is a 120 mm mortar system, which contains an ignition cartridge that discharges hot gas-phase products and unburned granular propellants into the mortar tube through multiple vent-holes on its surface. The model for the mortar system was coupled with the solution of the transient gas-dynamic behavior in the ignition cartridge. The numerical results were validated with experimental data. Based on the close comparison between the calculated results and test data, it was found that the approximate Riemann solver is a suitable method for studying the two-phase combustion processes in mortar systems.

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