Publications

AIAA Journal HB Stabilization
Thomas, J. P., Custer, C. H., Dowell, E. H., Hall, K. C., Corre, C., "Compact Implementation Strategy for a Harmonic Balance Method within Implicit Flow Solvers," AIAA Journal, Vol. 51, No. 6, June 2013, pp. 1374-1381.

AIAA Journal POD Stabilization
Ekici, K., Hall, K. C., Huang, H., and Thomas, J. P., "Stabilization of Explicit Flow Solvers Using a Proper-Orthogonal-Decomposition Technique," AIAA Journal, Vol. 51, No. 5, May 2013, pp. 1095-1194.

SDM 2013
Thomas, J. P., Dowell, E. H., and Hall, K. C. "Discrete Adjoint Method for Nonlinear Aeroelastic Sensitivities for Compressible and Viscous Flows," AIAA Paper 2013-1860, 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Boston, MA, April, 2012.

IJCFD HB Method
Hall, K. C., Ekici, K., Thomas, J. P., and Dowell, E. H., "Harmonic Balance Methods Applied to Computational Fluid Dynamics Problems," International Journal of Computational Fluid Dynamics, Vol. 27, No. 2, 2013, pp. 52-67.

ASM 2012
Thomas, J. P., Dowell, E. H., and Hall, K. C., "An Automatic Differentiation Based Nonlinear Reduced Order Modeling Technique for Unsteady Separated Flows," AIAA Paper 2012-1098, 50th AIAA Aerospace Sciences Meeting, Nashville, TN, January 2012.

SDM 2011
Thomas, J. P. and Dowell, E. H., "Airfoil Transonic Flow Buffet Calculations Using the NASA OVERFLOW 2 Flow Solver," AIAA Paper 2011-2077, 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Denver, CO, April, 2011.


SDM 2010
Thomas, J. P., Custer, C. H., Dowell, E. H., and Hall, K. C., "F-16 Fighter Aeroelastic Computations Using a Harmonic Balance Implementation of the OVERFLOW~2 Flow Solver," AIAA Paper 2010-2632, 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Orlando, FL, April, 2010.

AIAA Journal NROM
Thomas, J. P., Dowell, E. H., and Hall, K. C., "Using Automatic Differentiation to Create a Nonlinear Reduced Order Model Aerodynamic Solver," AIAA Journal, Vol. 48, No. 1, January 2010, pp. 19-24.

JA Transonic Airfoil Flutter
Schwarz, J. B., Dowell, E. H., Thomas, J. P., Hall, K. C., Rausch, R. D., and Bartels, R. E., "Improved Flutter Boundary Prediction for an Isolated Two-Degree-of-Freedom Airfoil,"
Journal of Aircraft, Vol. 46, No. 6, 2009, pp. 2069-2076.

JA F16 LCO
Dowell, E. H., Thomas, J. P., Hall, K. C.,
and Denegri C. M., Jr., "Theoretical Predictions of F-16 Fighter Limit Cycle Oscillations for Flight Flutter Testing," Journal of Aircraft, Vol. 46, No. 5, 2009, pp. 1667-1672.

AIAA CFD Conference 2009
Thomas, J. P., Custer, C. H., Dowell, E. H., and Hall, K. C., "Unsteady Flow Computation Using a Harmonic Balance Approach Implemented about the OVERFLOW 2 Flow Solver," AIAA Paper 2009-4270, 19th AIAA Computational Fluid Dynamics Conference, San Antonio, TX, June, 2009.

IFASD 2009
Custer, C. H., Thomas, J. P., Dowell, E. H., and Hall, K. C., "A Nonlinear Harmonic Balance Method for the CFD Code OVERFLOW 2," International Forum on Aeroelasticity and Structural Dynamics (IFASD) Paper 2009-050, Seattle, WA, June, 2009.

ASME Turbo Expo 2009
Meingast, M., Kielb, R. E., and Thomas, J. P., "Preliminary Flutter Design Method for Supersonic Low Pressure Turbines," ASME Paper GT-2009-59177, Proceedings of the ASME Turbo Expo 2009: Gas Turbine Technical Congress and Exposition, Orlando, FL. June, 2009.

AIAA Aerosciences Conference 2009
Spiker, M. A., Kielb, R. E., Thomas, J. P., and Hall, K. C., "Application of Enforced Motion to Study 2-D Cascade Lock-in Effect," AIAA Paper 2009-0892, 47th AIAA Aerospace Sciences Meeting, Orlando, FL, January, 2009.

ASME Turbo Expo 2008
Spiker, M. A., Kielb, R. E., Hall, K. C., and Thomas, J. P., "Efficient Design Method for Non-Synchronous Vibrations Using Enforced Motion," ASME Paper GT-2009-50599,
Proceedings of the ASME Turbo Expo 2008: Gas Turbine Technical Congress and Exposition,Berlin, Germany, June, 2008.

SDM 2008
Thomas, J. P., Dowell, E. H., and Hall, K. C., "Using Automatic Differentiation to Create a Nonlinear Reduced Order Model Aeroelastic Solver," AIAA Paper 2008-2322, 49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Schaumburg, IL, April, 2008.

SDM 2008
Schwarz, J., Dowell, E. H., Thomas, J. P., and Hall, K. C., "Computational Flutter Prediction for Isolated Airfoils," AIAA Paper 2008-1819, 49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Schaumburg, IL, April, 2008.

IUTAM 2007
Dowell, E. H., Hall, K. C., Thomas, J. P., Kielb, R. E., Spiker, M. A., and Denegri, C. M., "A New Solution Method for Unsteady Flows Around Oscillating Bluff Bodies," IUTAM Symposium on Fluid-Structure Interaction in Ocean Engineering Hamburg University of Technology Hamburg, Germany, 23-27 July 2007.

AIR FORCE T&E 2007
Thomas, J. P., Dowell, E. H., Hall, K. C., and Denegri C. M., "Virtual Aeroelastic Flight Testing for the F-16 Fighter with Stores," AIAA Paper 2007-1640, U.S. Air Force T&E Days, Destin, FL, February, 2007.

JFS HB AIRFOIL CUBIC NONLINERITY
Liu, L., Dowell, E. H., and Thomas, J. P., A High Dimensional Harmonic Balance Approach for an Aeroelastic Airfoil with Cubic Restoring Forces, Journal of Fluids and Structures, Vol. 23, No. 3, April 2007, pp. 351-363.

AIAA JOURNAL SYSTEMS ID
Attar, P. J., Dowell, E. H., White, J. R., and Thomas, J. P., "Reduced Order Nonlinear System Identification Methodology," AIAA Journal, Vol. 44, No. 8, 2006, pp. 1895-1904.

JA SDROM

Thomas, J. T., Dowell, E. H., and Hall, K. C., "Static/Dynamic Correction Approach for Reduced-Order Modeling of Unsteady Aerodynamics,"
Journal of Aircraft, Vol. 43, No. 4, 2006, pp. 865-878.

MDO 2006
Thomas, J. P., Dowell, E. H., and Hall, K. C., "Using Automatic Differentiation to Create a Nonlinear Reduced Order Model of a Computational Fluid Dynamic Solver," AIAA Paper 2006-7115, 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Portsmouth, VA, September, 2006.

JCP HB JUNE 2006
Liu, L., Thomas, J. P., Dowell, E. H., Attar, P. J., and Hall, K. C., "A Comparison of Classical and High Dimensional Harmonic Balance Approaches for a Duffing Oscillator," Journal of Computational Physics, Vol. 215, No. 1, 2006, pp. 298-320.

SDM 2006
Spiker, M. A., Thomas, J. P., Kielb, R. E., Hall, K. C., and Dowell, E. H., "Modeling Cylinder Flow Vortex Shedding with Enforced Motion Using a Harmonic Balance Approach,"  AIAA Paper 2006-1965, 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Newport, RI, May, 2006.

SDM 2006
Thomas, J. P., Dowell, E. H., Hall, K. C., and Denegri, C. M., "An Investigation of the Sensitivity of F-16 Fighter Limit Cycle Oscillations to Uncertainties,"  AIAA Paper 2006-1847, 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Newport, RI, May, 2006.

ISUAAAT 2006 (2003 Conference)
Hall, K. C., Kielb, R. E., and Thomas, J. P., editors, Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines, Springer, April 2006, ISBN: 1402042671.  Proceedings of the Tenth International Symposium on Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines held September 7-11, 2003, Duke University, Duham, NC.

AIAA JOURNAL ADJOINT HB
Thomas, J. P.,
Hall, K. C., and Dowell, E. H., "Discrete Adjoint Approach for Modeling Unsteady Aerodynamic Sensitivities," AIAA Journal, Vol. 43, No. 9, 2005, pp. 1931-1936.

SDM 2005
Thomas, J. P., Dowell, E. H., Hall, K. C., and Denegri, C. M., "Further Investigation of Modeling Limit Cycle Oscillation Behavior of the F-16 Fighter Using a Harmonic Balance Approach," AIAA Paper 2005-1917, 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Austin, TX, April, 2005.

SDM 2005
Liu, L., Dowell, E. H., and Thomas, J. P., "Higher Order Harmonic Balance Analysis for Limit Cycle Oscillations in an Airfoil with Cubic Restoring Forces,
" AIAA Paper 2005-1918, 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Austin, TX, April, 2005.

RENO 2005
Carlson, H. A., Feng, J. Q., Thomas, J. P., Kielb, R. E., Hall, K. C., and Dowell, E. H., "Computational Models for Nonlinear Aeroelasticity," AIAA Paper 2005-1085, 43rd AIAA Aerospace Sciences Meeting, Reno, NV, January 2005.

JA HBVISC

Thomas, J. T., Dowell, E. H., and Hall, K. C., "Modeling Viscous Transonic Limit Cycle Oscillation Behavior Using a Harmonic Balance Approach,"
Journal of Aircraft, Vol. 41, No. 6, 2004, pp. 1266-1274.

JA TRANSONIC AIRFOIL LCO
Kholodar, D. B., Dowell, E. H., Thomas, J. P., and Hall, K. C., "Limit Cycle Oscillation of a Typical Airfoil in Transonic Flow," Journal of Aircraft, Vol. 41, No. 5, 2004, pp. 1067-1072.

JA FLUTTER SURFACE PAPER
Kholodar, D. B., Dowell, E. H., Thomas, J. P., and Hall, K. C., "Improved Understanding of Transonic Flutter: A Three-Parameter Flutter Surface," Journal of Aircraft, Vol. 41, No. 4, 2004, pp. 911-916.

SDM 2004
Thomas, J. P., Dowell, E. H., Hall, K. C., and Denegri C. M., "Modeling Limit Cycle Oscillation Behavior of the F-16 Fighter Using a Harmonic Balance Approach," AIAA Paper 2004-1696, 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Palm Springs, CA, April, 2004.

HCF 2004
Hall, K. C., Thomas, J. P., Spiker, M. A., and Kielb, R.E., "Prediction of Non-Synchronous Vibration Using a Harmonic Balance Technique," 9th National Turbine Engine High Cycle Fatigue (HCF) Conference, Village of Pinehurst, NC, March 2004.

JFS - TRANSONIC AIRFOIL POD
Dowell, E. H., Thomas, J. T., and Hall, K. C., "Transonic Limit Cycle Oscillation Analysis Using Reduced Order Aerodynamic Models," Journal of Fluids and Structures, Vol. 19, No. 1, 2004, pp. 17-27.

FDEC 2003
Hall, K. C., Thomas, J. P., Ekici, K., and Voytovich, D. M., "Frequency Domain Techniques for Complex and Nonlinear Flows in Turbomachinery," AIAA Paper 2003-3998,  33rd AIAA Fluid Dynamics Conference  and Exhibit, Orlando, FL, June 2003.

TURBO 2003
Kielb, R. E., Barter, J. W., Thomas, J. P., and Hall, K. C., "Blade Excitation by Aerodynamic Instabilities - A Compressor Blade Study," ASME Paper GT-2003-38634, Presented at the ASME Turbo-Machinery Exposition, Atlanta, GA, June, 2003.

JA PODROM3D
Thomas, J. T., Dowell, E. H., and Hall, K. C., "Three-Dimensional Aeroelasticity Using Proper Orthogonal Decomposition Based Reduced Order Models," Journal of Aircraft, Vol. 40, No. 3, 2003, pp. 544-551.

SDM 2003
Thomas, J. P., Hall, K. C., and Dowell, E. H., "A Harmonic Balance Approach for Modeling Nonlinear Aeroelastic Behavior of Wings in Transonic Viscous Flow," AIAA Paper 2003-1924, 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Norfolk, VA, April 2003.

SDM 2003
Thomas, J. P., Dowell, E. H., and Hall, K. C., "Modeling Limit Cycle Oscillations for an NLR 7301 Airfoil Aeroelastic Configuration Including Correlation with Experiment," AIAA Paper 2003-1429, 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Norfolk, VA, April 2003.

JA AIRFOIL FLUTTER
Kholodar, D. B., Thomas, J. P., Dowell, E. H., and Hall, K. C., "Parametric Study of Flutter for an Airfoil in Inviscid Transonic Flow," Journal of Aircraft,
Vol. 40, No. 2, 2003, pp. 303-313.

RENO 2003
Thomas, J. P., Hall, K. C., and Dowell, E. H.,
"A Discrete Adjoint Approach for Modeling Unsteady Aerodynamic Design Sensitivities," AIAA Paper 2003-0041, 41st AIAA Aerospace Sciences Meeting, Reno, NV, January 2003.

ASME 2002
Thomas, J. P., Dowell, E. H., and Hall, K. C., "A Harmonic Balance Approach for Modeling Three-Dimensional Nonlinear Unsteady Aerodynamics and Aeroelasticity," ASME Paper IMECE-2002-32532, Proceedings of the ASME International Mechanical Engineering Conference and Exposition, New Orleans, LA
, November, 2002.

AIAA JOURNAL HB
Hall, K. C., Thomas, J. P., and Clark, W. S., "Computation of Unsteady Nonlinear Flows in Cascades Using a Harmonic Balance Technique," AIAA Journal, Vol. 40, No. 5, 2002, pp. 879-886.


AIAA JOURNAL HBLCO
Thomas, J. P., Dowell, E. H., and Hall, K. C., "Nonlinear Inviscid Aerodynamic Effects on Transonic Divergence, Flutter and Limit Cycle Oscillations," AIAA Journal, Vol. 40, No. 4, 2002, pp. 638-646.

HCF 2002
Hall, K. C., and Thomas, J. P., "Sensitivity Analysis of Coupled Aerodynamic/Structural Dynamic Behavior of Blade Rows," 7th National Turbine Engine High Cycle Fatigue (HCF) Conference, Palm Beach Gardens, FL, May 2002.

SDM 2002
Thomas, J. T., Dowell, E. H., and Hall, K. C., "Modeling Viscous Transonic Limit Cycle Oscillation Behavior Using a Harmonic Balance Approach," AIAA Paper 2002-1414, 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Denver, CO, April, 2002. Accepted for Publication - Journal of Aircraft.

SDM 2002
Kholodar, D. B., Thomas, J. P., Dowell, E. H., and Hall, K.
C., "A Parametric Study of Transonic Airfoil Flutter and Limit Cycle Oscillation Behavior," AIAA Paper 2002-1211, 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Denver, CO, April, 2002. Now Appears in Journal of Aircraft, Vol. 40, No. 2, 2003, pp. 303-313.

SDM 2001
Thomas, J. P., Dowell, E. H., and Hall, K. C.,
"Three-Dimensional Aeroelasticity Using Proper Orthogonal Decomposition Based Reduced Order Models," AIAA Paper 2001-1526, 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Seattle, WA, April 2001. Now Appears in Journal of Aircraft, Vol. 40, No. 3, 2003, pp. 544-551.

SDM 2001
Dowell, E. H., Thomas, J. T., and Hall, K. C., "Transonic Limit Cycle Oscillation Analysis Using Reduced Order Aerodynamic Models," AIAA Paper 2001-1212, 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Seattle, WA, April, 2001.  Now Appears in
Journal of Fluids and Structures, Vol. 19, No. 1, 2004, pp. 17-27.

SDM 2001
Thomas, J. P., Dowell, E. H., and Hall, K. C.,
"Nonlinear Inviscid Aerodynamic Effects on Transonic Divergence, Flutter and Limit Cycle Oscillations," AIAA Paper 2001-1209, 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, Seattle, WA, April 2001.  Now Appears in AIAA Journal, Vol. 40, No. 4, 2002, pp. 638-646.

RENO 2001
Thomas, J. T., Dowell, E. H., and Hall, K. C., "A Static/Dynamic Correction Approach for Reduced-Order Modeling of Unsteady Aerodynamics," AIAA Paper 2001-0855, 39th Aerospace Sciences Meeting Exhibit, Reno, NV, January 2001. Accepted for Publication - Journal of Aircraft.

AIAA PODROM
Hall, K. C., Thomas, J. P., and Dowell, E. H., "Proper Orthogonal Decomposition Technique for Transonic Unsteady Aerodynamic Flows," AIAA Journal, Vol. 38, No. 10, 2000, pp. 1853-1862.

ISUAAAT LYON 2000
Hall, K. C., Thomas, J. P., and Clark, W. S.,
"Computation of Unsteady Nonlinear Flows in Cascades Using a Harmonic Balance Technique," 9th International Symposium on Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines (ISUAAAT), Lyon, France, September 2000.  Now Appears in AIAA Journal, Vol. 40, No. 5, 2002, pp. 879-886.

AEROELASTICITY FORUM 1999
Thomas, J. T., Hall, K. C., and Dowell, E. H., "Reduced-Order Aeroelastic Modeling Using Proper-Orthogonal Decompositions," CEAS/AIAA/ICASE/NASA Langley International Forum on Aeroelasticity and Structural Dynamics 1999, Williamsburg, VA, June 1999.

ENGINEERING MECHANICS
Dowell, E. H., Hall, K. C., Thomas, J. P., and Florea, R.,
"Reduced Order Models in Unsteady Aerodynamics," Engineering Mechanics, Vol. 6, 1999, No. 4/5, p.229-252.

SDM 1999
Dowell, E. H., Hall, K. C., Thomas, J. P., Florea, R., Epureanu, B. I., and Heeg, J. "Reduced Order Models in Unsteady Aerodynamics," AIAA Paper 99-1261, 40th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conference, St. Louis, MO, April 1999.  Now Appears in Engineering Mechanics, Vol. 6, 1999, No. 4/5, p.229-252.

RENO 1999
Hall, K. C., Thomas, J. P., and Dowell, E. H., "Reduced-Order Modelling of Unsteady Small-Disturbance Flows Using a Frequency-Domain Proper Orthogonal Decomposition Technique," AIAA Paper 99-0655, 37th Aerospace Sciences Meeting Exhibit, Reno, NV, January 1999.  Now Appears in AIAA Journal, Vol. 38, No. 10, 2000, pp. 1853-1862.

AIAA CFD CONFERENCE 1997
Kim, C., Roe, P. L., and Thomas, J. P., "Accurate Schemes for Advection and Aeroacoustics," AIAA Paper 97-2091, 13th AIAA Computational Fluid Dynamics Conference, Snowmass Village, CO, June, 1997. Collection of Technical Papers. Pt. 1. (A97-32407 08-34).

AIAA CFD CONFERENCE 1995
Thomas, J. P., Kim, C., and Roe, P. L., "Progress Towards a New Computational Scheme for Aeroacoustics," AIAA Paper 95-1758, 12th AIAA Computational Fluid Dynamics Conference, San Diego, CA, June, 1995. Collection of Technical Papers. Pt. 2. (A95-36501 09-34).

AIAA CFD CONFERENCE 1993
Thomas, J. P., and Roe, P. L., "Development of Non-Dissipative Numerical Schemes for Computational Aeroacoustics," AIAA Paper 93-3382, 11th AIAA Computational Fluid Dynamics Conference, Orlando, FL, June, 1993.

AIAA APPLIED AERODYNAMICS CONFERENCE 1991
Thomas, J. P., and Lan, C. E., "The Simulation and Correction of Wind Tunnel Wall Interference of Delta Wing Lift Using Navier-Stokes and Euler Solution," AIAA Paper 91-3300, 9th AIAA Applied Aerodynamics Conference, Baltimore, MD, September, 1991.