Limitations in Turbomachinery CFD

Nowadays, Computational Fluid Dynamics (CFD) is a widely used method for the analysis and the design of gas turbines. The accuracy of CFD is rapidly increasing thanks to the available computational resources that allow simulating high-speed flows using hi-fidelity methodologies. However CFD uses models, and several approximations and errors derive from the process, for example from the truncation errors due to the discretization of the Navier-Stokes equations and from the turbulence models. Typical examples of such kind of limitations may be the steady flow assumption, the turbulence closure or the mesh resolution. The impact of approximations could be minimum to evaluate the trends of variation of global parameters, but it will have a strong impact on the prediction of local values of important parameters such as flow temperature and heat transfer. It is worth highlighting that the available computational resources are pushing towards the so called high fidelity CFD and it is important to highlight what is needed to achieve this goal and to reduce the impact of approximations.

[1]  L. Richardson The Approximate Arithmetical Solution by Finite Differences of Physical Problems Involving Differential Equations, with an Application to the Stresses in a Masonry Dam , 1911 .

[2]  Ronald Scott Bunker,et al.  The Effects of Manufacturing Tolerances on Gas Turbine Cooling , 2009 .

[3]  Li He,et al.  An Euler Solution for Unsteady Flows Around Oscillating Blades , 1990 .

[4]  L. He,et al.  Method of Simulating Unsteady Turbomachinery Flows with Multiple Perturbations , 1992 .

[5]  Simone Salvadori,et al.  Simulation of Combustor/NGV Interaction Using Coupled RANS Solvers: Validation and Application to a Realistic Test Case , 2014 .

[6]  Graham Pullan,et al.  Secondary flows and loss caused by blade row interaction in a turbine stage , 2006 .

[7]  Michael B. Giles,et al.  Stator/rotor interaction in a transonic turbine , 1988 .

[8]  P. Roache Verification of Codes and Calculations , 1998 .

[9]  Francesco Martelli,et al.  Numerical Predictions of Film Cooled NGV Blades , 2003 .

[10]  Jiang Luo,et al.  Conjugate heat transfer analysis of a cooled turbine vane using the V2F turbulence model , 2007 .

[11]  P. Roache QUANTIFICATION OF UNCERTAINTY IN COMPUTATIONAL FLUID DYNAMICS , 1997 .

[12]  Ismail Celik Numerical uncertainty in fluid flow calculations: Needs for future research , 1993 .

[13]  Francesco Montomoli,et al.  Geometrical Uncertainty and Film Cooling: Fillet Radii , 2012 .

[14]  Johannes Janicka,et al.  A Compressible Pressure-based Solution Algorithm for Gas Turbine Combustion Chambers Using the PDF/FGM Model , 2013 .

[15]  H. D. Joslyn,et al.  Redistribution of an inlet temperature distortion in an axial flow turbine stage , 1989 .

[16]  D. K. Walters,et al.  A Three-Equation Eddy-Viscosity Model for Reynolds-Averaged Navier-Stokes Simulations of Transitional Flow , 2008 .

[17]  K. Ghia,et al.  Editorial Policy Statement on the Control of Numerical Accuracy , 1986 .

[18]  Francesco Montomoli,et al.  Geometrical uncertainty in turbomachinery: Tip gap and fillet radius , 2011 .

[19]  R. Prim,et al.  On the Multiplicity of Steady Gas Flows Having the Same Streamline Pattern. , 1947, Proceedings of the National Academy of Sciences of the United States of America.

[20]  Thomas Povey,et al.  Analysis on the Effect of a Nonuniform Inlet Profile on Heat Transfer and Fluid Flow in Turbine Stages , 2012 .

[21]  HighWire Press Philosophical Transactions of the Royal Society of London , 1781, The London Medical Journal.

[22]  Kazunori Watanabe,et al.  Assessment of URANS and DES for prediction of leading edge film cooling , 2012 .

[23]  Guillermo Paniagua,et al.  Energy Analysis of Pulsating Coolant Ejection , 2014 .

[24]  Mauro Carnevale,et al.  A Comparative Study of RANS, URANS and NLES Approaches for Flow Prediction in Pin Fin Array , 2013 .

[25]  Guillermo Paniagua,et al.  Aerothermal Impact of Stator-Rim Purge Flow and Rotor-Platform Film Cooling on a Transonic Turbine Stage , 2010 .

[26]  F. Martelli,et al.  Turbine blade boundary layer separation suppression via synthetic jet: An experimental and numerical study , 2012 .

[27]  Roger L. Davis,et al.  Unsteady analysis of hot streak migration in a turbine stage , 1990 .

[28]  Simone Salvadori,et al.  Conjugate Heat Transfer Analysis of a Film Cooled High-Pressure Turbine Vane Under Realistic Combustor Exit Flow Conditions , 2014 .

[29]  Juan J. Alonso,et al.  Integrated Simulations for Multi-Component Analysis of Gas Turbines:RANS Boundary Conditions , 2004 .

[30]  Man Mohan Rai,et al.  Multi-airfoil Navier-Stokes simulations of turbine rotor-stator interaction , 1988 .

[31]  Roger W. Ainsworth,et al.  Unsteady loss in a high pressure turbine stage: Interaction effects , 2005 .

[32]  P. Roache Perspective: A Method for Uniform Reporting of Grid Refinement Studies , 1994 .

[33]  M. L. Celestina,et al.  A model for closing the inviscid form of the average−passage equation system , 1986 .

[34]  F. Lien,et al.  Computations of transonic flow with the v2–f turbulence model , 2001 .

[35]  Roger L. Davis,et al.  UNSTEADY MULTISTAGE ANALYSIS USING A LOOSELY COUPLED BLADE ROW APPROACH , 1996 .

[36]  L. Richardson,et al.  The Deferred Approach to the Limit. Part I. Single Lattice. Part II. Interpenetrating Lattices , 1927 .

[37]  Francesco Martelli,et al.  Conjugate Heat Transfer Modelling in Film Cooled Blades , 2004 .

[38]  Francesco Martelli,et al.  Analysis of the shroud leakage flow and mainflow interactions in high-pressure turbines using an unsteady computational fluid dynamics approach , 2007 .

[39]  G. Medic,et al.  Integrated RANS/LES Computations of an Entire Gas Turbine Jet Engine , 2007 .

[40]  J. L. Kerrebrock,et al.  Intra-Stator Transport of Rotor Wakes and Its Effect on Compressor Performance , 1970 .

[41]  Elena Collado Morata,et al.  Impact of the unsteady aerothermal environment on the turbine blades temperature , 2012 .

[42]  Michael B. Giles,et al.  Calculation of Unsteady Wake/Rotor Interaction , 1987 .

[43]  Francesco Montomoli,et al.  Uncertainty Quantification: A Stochastic Method for Heat Transfer Prediction Using LES , 2013 .