Contents

1. Available solvers with hybrid approximation
2. Meeting points for users and developers
3. Available OpenFOAM versions
4. Derived projects
5. Research studies where the library was useful
6. For citation

Available solvers with hybrid approximation

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United collection of hybrid Central solvers based on central-upwind schemes of Kurganov and Tadmor and LTS support for steady-state calculations: one-phase, two-phase and multicomponent versions.

Only OpenFOAM+ version of the OpenFOAM technology is supported since 2018. The framework contains next solvers:

1. Compressible single phase flow solvers:
   • pimpleCentralFoam - Pressure-based semi implicit solver for compressible flow of perfect gas
   • rhoPimpleCentralFoam - Pressure-based semi implicit solver for compressible flow of real gas
   • pimpleCentralDyMFoam - Pressure-based semi implicit solver for compressible flow of perfect gas with mesh motion and AMR
   • chtMultiRegionCentralFoam - Pressure-based semi implicit solver for conjugate simulation of compressible perfect gas flow (Mach number is ranging from 0 to 6) and solid body heat transfer.
2. Multi-component solvers:
   • reactingPimpleCentralFoam - Pressure-based semi implicit solver for compressible flow with combustion and chemical reactions
   • reactingLagrangianPimpleCentralFoam - Pressure-based semi implicit solver for compressible flow with combustion, particles motion, phase change and chemical reactions
3. Multi-phase solvers:
   • vofTwoPhaseCentralFoam - an improved version (since OpenFOAM+ 2312) of interTwoPhaseCentralFoam solver that uses volumetric fluxes for transport (increased robustness).
   • interTwoPhaseCentralFoam - pressure-based solver for compressible (0-4 Mach numbers) flow of two-phase media with account to viscosity and gravity. The solver utilizes VoF method for resolution of phase interface and ACID technique ( https://doi.org/10.1016/j.jcp.2018.04.028) to calculate properties in the region where both phases are present.
   • twoPhaseMixingCentralFoam - Transient Eulerian two-phase solver. Liquid and gas are considered as compressible fluids. Mass transfer at the interface is not accounted.
   • twoPhaseMixingCentralDyMFoam - Transient Eulerian two-phase solver with dynamic meshes. Liquid and gas are considered as compressible fluids. Mass transfer at the interface is not accounted.

Meeting points for users and developers

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You can discuss questions of hybridCentralSolvers usage at Telegram Group: https://t.me/hybridCentralSolvers

There is a ResearchGate project dedicated to the development of hybridCentralSolvers library

Available OpenFOAM versions

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The library is available for next versions of OpenFOAM:

• OpenFOAM 3.1 - master branch
• OpenFOAM 4.1 - dev-of4.1 branch
• OpenFOAM 6 - dev-of6 branch
• OpenFOAM+ 1812 - digitef-dev-1812
• OpenFOAM+ 1912 - digitef-dev-1912
• OpenFOAM+ 2012 - digitef-dev-2012
• OpenFOAM+ 2112 - digitef-dev-2112
• OpenFOAM+ 2212 - digitef-dev-2212
• OpenFOAM+ 2312 - digitef-dev-2312

Latest changes and bug fixes are applied only in branches corresponding to latest version of OpenFOAM.

Derived projects

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The library or approach were used in next projects:

• multiRegionRectingPimpleCentralFoam - the solver for coupled simulation of gas dynamics and heat transfer using hybrid KT/PIMPLE approximation of convective fluxes
• adjointReactingRhoPimpleCentralFoam - the solver for adjoint shape optimization of region with gas flow modelled using hybrid KT/PIMPLE approximation of convective fluxes
• HLLCFoam - the solver for perfect gas dynamics using hybrid HLLC/PIMPLE approach (an extension of the hybrid KNP/PIMPLE scheme for HLLC approximate Riemann solver).

Research studies where the library was useful

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If you want to see your research in this list, please write to Issues .

>>>>> 2024 <<<<<

Title	Description
Turbulent Combustion Modeling of an Ejector Ramjet Propulsion System: MsC Thesis
Study of the mechanism of shock-induced and detonation-induced droplet breakup based on hybrid solvers: Article	---
Aeroacoustic Improvements during Lift-off of Launch Vehicles: PhD Thesis
Validation of High Speed Reactive Flow Solver in OpenFOAM with Detailed Chemistry: Article
A real-fluid low-dissipative solver for flash boiling simulations of non-equilibrium mixtures: Article

>>>>> 2023 <<<<<

Title	Description
Experimental and Numerical Comparison of Weakly Unstable Detonation using Planar Laser-Induced Fluorescence of Nitric Oxide Imaging: Article
Study of the Mechanism of Shock-Induced Droplet Breakup Based on a Hybrid Solver: Article
Simulation of DDT in obstructed channels: wavy channels vs. fence-type obstacles: Article
Deflector shape impact on aero-acoustic noise generation and propagation: Article
Numerical Simulation of Supersonic Jet Noise Using Open Source Software: Article	---
The diffraction and re-initiation behavior of detonation wave in premixed H2–O2–Ar mixture : Article
Numerical Study of Forced Nonlinear Acoustic Gas Oscillations in a Tube under the Action of Two Pistons with Phase Shift: Article	: Article
Self-consistent model and numerical approach for laser-induced non-equilibrium plasma: Article
On the Resolution of Approximation Errors on an Ensemble of Numerical Solutions: Article	---
Numerical and experimental analysis of autoignition induced by shock wave focusing: Article
Investigations on Hydrogen Injections Using a Real-Fluid Approach: Article
Numerical Investigations of Pseudo-Boiling and Multi-Component Mixing Under Trans-/supercritical Conditions for Engine Applications: Article	---
Numerical and experimental analysis of detonation induced by shock wave focusing: Article
Validation and Verification of reactingPimpleCentralFOAM for Ejector Ramjet Applications: Article
Beam Shaping for the Laser Energy Deposition in Air: Article	---
Analysis of the oscillations induced by a supersonic jet applied to produce nanofibers: Article

>>>>> 2022 <<<<<

Title	Description
Calculation of the velocity profile and experimental observations during pulse injection of a gas into the PF camera (In Russian) Расчеты профиля плотности при импульсной инжекции рабочего газа в камеру ПФ и экппериментальные результаты: Article
Aerothermodynamic analysis of an experimental rocket aimed to test micro-launcher technologies: MSc Thesis
CFD simulations of under-expanded hydrogen jets under high-pressure injection conditions: Article
Steady rotation of a Mach shock: experimental and numerical evidences: Article
Large eddy simulation of subsonic and supersonic flow using hybrid pressure-based solver: MSc Thesis
Validation and Verification of pimpleCentralFOAM and a 1D-ERAM Solver for Analysis of an Ejector-Ramjet: Article
Implementation of Higher-order PIMPLE Algorithm for Time Marching Analysis of Transonic Wing Compressibility Effects with High Mach Pre-conditioning: Article
An extension of the all-Mach number pressure-based solution framework for numerical modelling of two-phase flows with interface: Article
Numerical simulation of forced acoustic gas oscillations with large amplitude in closed tube: Article
In Russian: Dynamics of the current shell in a self-compressing plasma charge with additional gas injection (in Russian, Динамика токовой оболочки в самосжимающемся плазменном разряде с дополнительной инжекцией газа) In English: Calculations of the Density Profile for Pulse Injection of Working Gas into the PF Chamber and Experimental Results : Article
URANS Analysis of a Launch Vehicle Aero-Acoustic Environment: Article
A study of the mesh effect on a rocket plume simulation: Article
Analysis of the ignition induced by shock wave focusing equipped with conical and hemispherical reflectors: Article
Three-dimensional Effects in Dual-pulse Laser Energy Deposition: Article

>>>>> 2021 <<<<<

Title	Description
The Eulerian–Lagrangian Approach for the Numerical Investigation of an Acoustic Field Generated by a High-Speed Gas-Droplet Flow: Article
Numerical Study of Thermoacoustic Waves in a Cavity under Rapid Wall Heating: Article
Real-Gas Effects and Single-Phase Instabilities during Injection, Mixing and Combustion under High-Pressure Conditions: PhD Thesis
Dynamics of detonation transmission and propagation in a curved chamber: a numerical and experimental analysis: Article
Modelling of Supersonic and Subsonic Flows Using Hybrid PressureBased Solver in Openfoam: Article

>>>>> 2020 <<<<<

Title	Description
Numerical simulation of transpiration cooling experiments in supersonic flow using OpenFOAM : Article
On uncertainty quantification via the ensemble of independent numerical solutions: Article
Influence of hydrogen equivalence ratios on supersonic combustion based on large eddy simulations: Article
A quasi-direct numerical simulation solver for compressible reacting flows: Article
ON THE CONSTRUCTION OF A GENERALIZED COMPUTATIONAL EXPERIMENT IN VERIFICATION PROBLEMS: Article
Enhanced Pressure Based Coupled Algorithm to Combine with Pressure–Velocity-Enthalpy for all Mach Number Flow: Article
Pressure-Based Solution Framework for Non-Ideal Flows at All Mach Numbers: Article
Entwicklung eines Simulationsmodells für Schaltlichtbögen in Überspannungsableitern: PhD Thesis
A pressure-based solution framework for sub- and supersonic flows considering real-gas effects and phase separation under engine-relevant conditions: Article
Mixing and Autoignition of Underexpanded Methane Jets at High Pressure Conditions: PhD Thesis, Results of computations with hybrid approach were used as reference for STAR-CCM

>>>>> 2019 <<<<<

Title	Description
Numerical method to simulate detonative combustion of hydrogen-air mixture in a containment: Article
Numerical investigation of the auto-ignition of transient hydrogen injection in supersonic airflow: Article
Verification on the Ensemble of Independent Numerical Solutions: Article
Computational Study of Reactants Mixing in a Rotating Detonation Combustor Using Compressible RANS: Article
Numerical investigation of the flow characteristics of underexpanded methane jets: Article
The numerical simulation of compressible jet at low Reynolds number using OpenFOAM: Article
Rocket plume URANS simulation using OpenFOAM: Article
Numerische Modellierung und Untersuchung der Hochdruckeindüsung nicht-idealer Fluide bei überkritischen Druckverhältnissen (in German): PhD Thesis

>>>>> 2018 <<<<<

Title	Description
Real-Gas Effects and Phase Separation in Underexpanded Jets at Engine-Relevant Conditions: Article
Analysis of the Accuracy of OpenFOAM Solvers for the Problem of Supersonic Flow Around a Cone: Article
Development of a new OpenFOAM solver using regularized gas dynamic equations: Article
A hybrid pressure-based solver for nonideal single-phase fluid flows at all speeds: Article
Comparison of the Performance of Open-Source and Commercial CFD Packages for Simulating Supersonic Compressible Jet Flows: Article
Numerical modelling of two-dimensional perfect gas flows using RKDG method on unstructured meshes: Article
CFD methodologies for compressible atomising and cavitating multi-phase flows: PhD Thesis

>>>>> 2017 <<<<<

Title	Description
Numerical investigation on an array of Helmholtz resonators for the reduction of micro-pressure waves in modern and future high-speed rail tunnel systems: Article
Comparative Study of the Accuracy for OpenFOAM Solvers: Article
Analysis of Radiation Discretization for Modelling a Spark Gap for Surge Currents : Article
Numerical analysis of cavitation about marine propellers using a compressible multiphase VOF fractional step method: Article
Computational analysis and mitigation of micro-pressure waves in high-speed train tunnels: PhD Thesis
Numerical study of characteristic modes and frequencies of flow in high-speed compressors (in English): Article
Implementation of the solver for coupled simulation for heat transfer in gas and solid - 12th OpenFOAM Workshop: Presentation
Numerical modelling of compressible flows with hybrid approximation of convective fluxes (In Russian): PhD Thesis
Application of open-source software for industrial problems of vehicle lift-off gas dynamics (in Russian): Article
Optimization for Internal Turbulent Compressible Flows Using Adjoints: Article

>>>>> 2016 <<<<<

Title	Description
On the Stability of Supersonic Boundary Layers with Injection: PhD Thesis
Study of capabilities of hybrid scheme for advection terms approximation in mathematical models of compressible flows (in Russian): Article
LES Discretization Methods for Unstructured Meshes Based on the Finite Volume Method: Article

For citation

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When using these solvers, please cite the following works:

• 
• Kraposhin MV, Banholzer M, Pfitzner M, Marchevsky IK. A hybrid pressure‐based solver for nonideal single‐phase fluid flows at all speeds. Int J Numer Meth Fluids. 2018;88:79–99. https://doi.org/10.1002/fld.4512
• Kraposhin MV, Strijhak SV, Bovtrikova A Adaptation of Kurganov-Tadmor Numerical Scheme for Applying in Combination with the PISO Method in Numerical Simulation of Flows in a Wide Range of Mach Numbers. Procedia Computer Science. 2015;66:43-52. https://doi.org/10.1016/j.procs.2015.11.007
• Kraposhin, M., Kukharskii, A., Victoria, & Shevelev, A. (2022). An extension of the all-Mach number pressure-based solution framework for numerical modelling of two-phase flows with interface. Industrial Processes and Technologies, 2(3(5), 6–27. https://doi.org/10.37816/2713-0789-2022-2-3(5)-6-27