Numerical analysis on mixing processes for transcritical real-fluid simulations

The accurate and robust simulation of transcritical real-fluid flows is crucial for many engineering applications. Diffused interface methods are frequently employed and several numerical schemes have been developed for simulating transcritical flows. These schemes can be categorized into two types, namely fully conservative and quasi-conservative schemes. An adaptive scheme which is a hybrid of the two is developed in this study. By considering several numerical test cases, it is shown that different schemes predict distinctly different mixing behaviors. It is shown that the mixing processes follow the isobaric-adiabatic and isobaric-isochoric mixing models for fully and quasi-conservative schemes, respectively, and the adaptive scheme yields a mixing behavior that spans both models. The distinct mixing behaviors are a consequence of numerical diffusion instead of physical diffusion and can be attributed to insufficient numerical spatial resolution. This work provides a better understanding on the interpretation of numerical simulation results and the mixing models that are commonly used to study transcritical flows.

[1]  Guilhem Lacaze,et al.  A non-premixed combustion model based on flame structure analysis at supercritical pressures , 2012 .

[2]  Hiroshi Terashima,et al.  Approach for simulating gas-liquid-like flows under supercritical pressures using a high-order central differencing scheme , 2012, J. Comput. Phys..

[3]  M. Habiballah,et al.  EXPERIMENTAL STUDIES OF HIGH-PRESSURE CRYOGENIC FLAMES ON THE MASCOTTE FACILITY , 2006 .

[4]  Bruce Chehroudi,et al.  Recent Experimental Efforts on High-Pressure Supercritical Injection for Liquid Rockets and Their Implications , 2012 .

[5]  V. Yang,et al.  Comparison of tabulation and correlated dynamic evaluation of real fluid properties for supercritical mixing , 2017 .

[6]  K. Kobe.  The properties of gases and liquids , 1959 .

[7]  R. Reitz,et al.  An investigation of thermodynamic states during high-pressure fuel injection using equilibrium thermodynamics , 2015 .

[8]  Josette Bellan,et al.  Supercritical (and subcritical) fluid behavior and modeling: drops, streams, shear and mixing layers, jets and sprays , 2000 .

[9]  N. S. Barnett,et al.  Private communication , 1969 .

[10]  Nikolay Ivanov Kolev,et al.  Large eddy simulations , 2007 .

[11]  Matthias Ihme,et al.  Regularized deconvolution method for turbulent combustion modeling , 2017 .

[12]  Matthias Ihme,et al.  Large Eddy Simulation of Shear Coaxial Rocket Injector: Real Fluid Effects , 2013 .

[13]  M. Ihme,et al.  Numerical framework for transcritical real-fluid reacting flow simulations using the flamelet progress variable approach , 2017, 1704.02639.

[14]  Matthew P. Juniper,et al.  STRUCTURE AND DYNAMICS OF CRYOGENIC FLAMES AT SUPERCRITICAL PRESSURE , 2006 .

[15]  Pierre Haldenwang,et al.  High pressure vaporization of LOX droplet crossing the critical conditions , 1996 .

[16]  Vigor Yang,et al.  Modeling of supercritical vaporization, mixing, and combustion processes in liquid-fueled propulsion systems , 2000 .

[17]  Paul W. Nyholm,et al.  Engine combustion network. , 2010 .

[18]  J. Oefelein,et al.  Non-equilibrium gas–liquid interface dynamics in high-pressure liquid injection systems , 2015 .

[19]  Matthias Ihme,et al.  Sub- or Supercritical? A flamelet analysis of high pressure rocket propellant injection , 2016 .

[20]  Vigor Yang,et al.  Subgrid scale modeling of the equation of state for turbulent flows under supercritical conditions , 2017 .

[21]  W. Sirignano,et al.  Transcritical Vaporization of Liquid Fuels and Propellants , 1999 .

[22]  M. Ihme,et al.  A Flamelet Model with Heat-Loss Effects for Predicting Wall-Heat Transfer in Rocket Engines , 2017 .

[23]  J. Matheis,et al.  Multi-component vapor-liquid equilibrium model for LES and application to ECN Spray A , 2016, 1609.08533.

[24]  Carlos Pantano,et al.  An oscillation free shock-capturing method for compressible van der Waals supercritical fluid flows , 2017, J. Comput. Phys..

[25]  P. Moin,et al.  Unstructured Large Eddy Simulation for Prediction of Noise Issued from Turbulent Jets in Various Configurations , 2011 .

[26]  M. Ihme,et al.  Seven questions about supercritical fluids - towards a new fluid state diagram , 2017 .

[27]  Guilhem Lacaze,et al.  Modeling of High Density Gradient Flows at Supercritical Pressures. , 2013 .

[28]  Joseph C. Oefelein,et al.  Microscopic investigation of the atomization and mixing processes of diesel sprays injected into high pressure and temperature environments , 2014 .

[29]  Guilhem Lacaze,et al.  Effects of Pressure on the Fundamental Physics of Fuel Injection in Diesel Engines , 2012 .

[30]  D. Peng,et al.  A New Two-Constant Equation of State , 1976 .

[31]  Matthias Ihme,et al.  An entropy-stable hybrid scheme for simulations of transcritical real-fluid flows , 2017, J. Comput. Phys..

[32]  Hiroshi Tamura,et al.  Propellant injection in a liquid oxygen/gaseous hydrogen rocket engine , 1996 .

[33]  Chi-Wang Shu,et al.  Strong Stability-Preserving High-Order Time Discretization Methods , 2001, SIAM Rev..

[34]  W. Mayer,et al.  Atomization and Breakup of Cryogenic Propellants Under High-Pressure Subcritical and Supercritical Conditions , 1998 .

[35]  J. Bellan,et al.  The Lewis number under supercritical conditions , 1999 .

[36]  Hao Wu,et al.  MVP-Workshop Contribution: Modeling of Volvo bluff body flame experiment , 2017 .

[37]  Michael Oschwald,et al.  INJECTION OF FLUIDS INTO SUPERCRITICAL ENVIRONMENTS , 2006 .

[38]  C. Segal,et al.  Disintegrating supercritical jets in a subcritical environment , 2013, Journal of Fluid Mechanics.

[39]  Anthony Ruiz,et al.  Large-Eddy Simulation of Supercritical-Pressure Round Jets , 2010 .

[40]  J. Bellan,et al.  Isolated fluid oxygen drop behavior in fluid hydrogen at rocket chamber pressures , 1998 .

[41]  Wenting Sun,et al.  Global Pathway Analysis of the Extinction and Re-ignition of a Turbulent Non-Premixed Flame , 2017 .

[42]  Anthony Ruiz,et al.  Unsteady Numerical Simulations of Transcritical Turbulent Combustion in Liquid Rocket Engines. (Simulations Numériques Instationnaires de la Combustion Turbulente et Transcritique dans les Moteurs Cryotechniques) , 2012 .

[43]  Luis Bravo,et al.  Supercritical and Transcritical Real-Fluid Mixing in Diesel Engine Applications , 2015 .

[44]  Thierry Poinsot,et al.  Numerical Benchmark for High-Reynolds-Number Supercritical Flows with Large Density Gradients , 2016 .

[45]  Hiroshi Tamura,et al.  Injection and Mixing Processes in High-Pressure Liquid Oxygen/Gaseous Hydrogen Rocket Combustors , 2000 .

[46]  Matthias Ihme,et al.  On underresolved simulations of compressible turbulence using an entropy-bounded DG method: Solution stabilization, scheme optimization, and benchmark against a finite-volume solver , 2018 .

[47]  Guilhem Lacaze,et al.  Analysis of high-pressure Diesel fuel injection processes using LES with real-fluid thermodynamics and transport , 2013 .

[48]  Joseph C. Oefelein,et al.  Understanding high-pressure gas-liquid interface phenomena in Diesel engines , 2013 .

[49]  J. A. Newman,et al.  Behavior of a Liquid Jet near the Thermodynamic Critical Region , 1971 .

[50]  G. Strang.  On the Construction and Comparison of Difference Schemes , 1968 .

[51]  M. Ihme,et al.  Large-eddy simulations of fuel effects on gas turbine lean blow-out , 2017 .

[52]  Josette Bellan,et al.  Efficient High-Pressure State Equations , 1997 .

[53]  B. Weigand,et al.  An efficient multi-fluid-mixing model for real gas reacting flows in liquid propellant rocket engines , 2016 .

[54]  M. Ihme,et al.  Widom Lines in Binary Mixtures of Supercritical Fluids , 2017, Scientific Reports.

[55]  M. Ihme,et al.  Numerical methods to prevent pressure oscillations in transcritical flows , 2017, 1704.02637.

[56]  Vigor Yang,et al.  Vaporization of liquid oxygen (LOX) droplets in supercritical hydrogen environments , 1994 .

[57]  William A. Sirignano,et al.  Numerical Study of the Transient Vaporization of an Oxygen Droplet at Sub- and Super-Critical Conditions , 1993 .

[58]  Soshi Kawai,et al.  A robust and accurate numerical method for transcritical turbulent flows at supercritical pressure with an arbitrary equation of state , 2015, J. Comput. Phys..