An implicit harmonic balance (HB) method for modeling the unsteady nonlinear periodic flow about vibrating airfoils in turbomachinery is presented. An implicit edge-based three-dimensional Reynolds-averaged Navier–Stokes equations (RANS) solver for unstructured grids, which runs both on central processing units (CPUs) and graphics processing units (GPUs), is used. The HB method performs a spectral discretization of the time derivatives and marches in pseudotime, a new system of equations where the unknowns are the variables at different time samples. The application of the method to vibrating airfoils is discussed. It is shown that a time-spectral scheme may achieve the same temporal accuracy at a much lower computational cost than a backward finite-difference method at the expense of using more memory. The performance of the implicit solver has been assessed with several application examples. A speed-up factor of 10 is obtained between the spectral and finite-difference version of the code, whereas an additional speed-up factor of 10 is obtained when the code is ported to GPUs, totalizing a speed factor of 100. The performance of the solver in GPUs has been assessed using the tenth standard aeroelastic configuration and a transonic compressor.
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March 2016
Research-Article
An Implicit Harmonic Balance Method in Graphics Processing Units for Oscillating Blades
Javier Crespo,
Javier Crespo
Technology and Methods Department,
Industria de TurboPropulsores S.A.,
Alcobendas 28108, Madrid, Spain
e-mail: Javier.Crespo@itp.es
Industria de TurboPropulsores S.A.,
Alcobendas 28108, Madrid, Spain
e-mail: Javier.Crespo@itp.es
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Roque Corral,
Roque Corral
Advanced Engineering Direction,
Industria de TurboPropulsores S.A.,
Alcobendas 28108, Madrid, Spain
e-mail: Roque.Corral@itp.es
Industria de TurboPropulsores S.A.,
Alcobendas 28108, Madrid, Spain
e-mail: Roque.Corral@itp.es
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Jesus Pueblas
Jesus Pueblas
Technology and Methods Department,
Industria de TurboPropulsores S.A.,
Alcobendas 28108, Madrid, Spain
e-mail: Jesus.Pueblas@itp.es
Industria de TurboPropulsores S.A.,
Alcobendas 28108, Madrid, Spain
e-mail: Jesus.Pueblas@itp.es
Search for other works by this author on:
Javier Crespo
Technology and Methods Department,
Industria de TurboPropulsores S.A.,
Alcobendas 28108, Madrid, Spain
e-mail: Javier.Crespo@itp.es
Industria de TurboPropulsores S.A.,
Alcobendas 28108, Madrid, Spain
e-mail: Javier.Crespo@itp.es
Roque Corral
Advanced Engineering Direction,
Industria de TurboPropulsores S.A.,
Alcobendas 28108, Madrid, Spain
e-mail: Roque.Corral@itp.es
Industria de TurboPropulsores S.A.,
Alcobendas 28108, Madrid, Spain
e-mail: Roque.Corral@itp.es
Jesus Pueblas
Technology and Methods Department,
Industria de TurboPropulsores S.A.,
Alcobendas 28108, Madrid, Spain
e-mail: Jesus.Pueblas@itp.es
Industria de TurboPropulsores S.A.,
Alcobendas 28108, Madrid, Spain
e-mail: Jesus.Pueblas@itp.es
1Also at the Department of Fluid Dynamics and Aerospace Propulsion of the School of Aeronautics, UPM, Madrid 28040, Spain.
Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the JOURNAL OF TURBOMACHINERY. Manuscript received July 20, 2015; final manuscript received October 20, 2015; published online November 17, 2015. Editor: Kenneth C. Hall.
J. Turbomach. Mar 2016, 138(3): 031001 (10 pages)
Published Online: November 17, 2015
Article history
Received:
July 20, 2015
Revised:
October 20, 2015
Citation
Crespo, J., Corral, R., and Pueblas, J. (November 17, 2015). "An Implicit Harmonic Balance Method in Graphics Processing Units for Oscillating Blades." ASME. J. Turbomach. March 2016; 138(3): 031001. https://doi.org/10.1115/1.4031918
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