Selected Reprints and Preprints

• F. Q. Hu and D. M. Nark, On a stabilization of the Ingard-Myers impedance boundary condition and its time domain implementation, International Journal of Aeroacoustics, Vol. 23(3-4), 318-341, 2024. [PDF].

• M. E. Rodio, F. Q. Hu, and D. M. Nark, Time-Domain Boundary Element Method with Broadband Impedance Boundary Condition, AIAA Journal, Vol. 60, 3661-3670, 2022. [PDF].

• F. Q. Hu and D. M. Nark, On the Implementation and Further Validation of a Time Domain Boundary Element Method Broadband Impedance Boundary Condition, AIAA paper 2022-2898, 2022. [PDF].

• D. M. Nark and F. Q. Hu, Time Domain Boundary Element Method Prediction of Noise Shielding by a NACA 0012 Airfoil, AIAA paper 2021-2201, 2021. [PDF].

• F. Q. Hu, On hybrid temporal basis functions for stable numerical solution of time domain boundary integral equations , Advances in Aerodynamics, Vol. 1, 1:9, 2019. [PDF].

• F. Q. Hu, M. E. Pizzo, and D. M. Nark, On the use of a Prandtl-Glauert-Lorentz transformation for acoustic scattering by rigid bodies with a uniform flow , Journal of Sound and Vibration, Vol. 443, 198-211, 2019. [PDF].

• F. Q. Hu, M. E. Pizzo, and D. M. Nark, On a time domain boundary integral equation formulation for acoustic scattering by rigid bodies in uniform mean flow , Journal of the Acoustical Society of America, Vol. 142, 3624-3636, 2017. [PDF].

• F. Q. Hu, M. E. Pizzo, and D. M. Nark, On the assessment of acoustic scattering and shielding by time domain boundary integral equation solutions , AIAA paper 2016-2779, 2016. [PDF].

• A. M. Fernando and F. Q. Hu, A study of accuracy on numerical methods for nonuniform meshes (Invited) , AIAA paper 2015-3131, 2015. [PDF].

• F. Q. Hu, Further Development of a Time Domain Boundary Integral Equation Method for Aeroacoustic Scattering Computation , AIAA paper 2014-3194, 2014. [PDF].

• L. Liu, X. D. Li and F. Q. Hu, Nonuniform-time-step explicit Runge-Kutta scheme for high-order finite difference method , Computers & Fluids, Vol. 105, 166-178, 2014. [PDF].

• F. Q. Hu, An efficient solution of time domain boundary integral equations for acoustic scattering and its acceleration by Graphics Processing Units , AIAA paper 2013-2018, 2013. [PDF].

• F. Q. Hu, X. D. Li, X. Y. Li and M. Jiang, Time Domain Wave Packet method and suppression of instability wave in aeroacoustic computations , Journal of Fluid Engineering, to appear, 2013. [PDF].

• F. Q. Hu, I. Kocaogul and X. D. Li, On the adjoint problem in duct acoustics and its solution by the Time Domain Wave Packet method , AIAA paper 2012-2247, 2012. [PDF].

• D. K. Lin, X. D. Li and F. Q. Hu Absorbing boundary condition for nonlinear Euler equations in primitive variables based on the Perfectly Matchde Layer technique , Computers & Fluids, Vol. 40, 333-337, 2011. [PDF].

• A. M. Fernando and F. Q. Hu, DGM-FD: A finite difference scheme based on the discontinuous Galerkin method applied to wave propagation , Journal of Computational Physics, Vol. 230, 4871-4898, 2011. [PDF].

• L. Liu, X. D. Li and F. Q. Hu, Nonuniform time-step Runge-Kutta dicontinuous Galerkin method for Computational Aeroacoustics, , Journal of Computational Physics, Vol. 229, 6874-6897, 2010. [PDF].

• E. Craig and F. Q. Hu, On the Perfectly Matched Layer for the Boltzmann-BGK equation and its application to computational aeroacoustics, , AIAA paper 2010-3935, 2010. [PDF],

• S. A. Parrish and F. Q. Hu, PML absorbing boundary conditions for the linearized and nonlinear Euler equations in the case of oblique mean flow , International Journal for Numerical Methods in Fluids, Vol. 60, 565-589, 2009. [PDF].

• F. Q. Hu, X. D. Li and D. K. Lin, Absorbing boundary conditions for nonlinear Euler and Navier-Stokes equations based on the Perfectly Matched Layer technique , Journal of Computational Physics, Vol. 227, 4398-4424, 2008, [PS], [PDF].

• F. Q. Hu, Development of PML absorbing boundary conditions for computational aeroacoustics: A progress review , Computers \& Fluids, Vol. 37, 336-348, 2008 [PDF].

• S. A. Parrish and F. Q. Hu, Application of PML Absorbing Boundary Condition to Aeroacoustics Problems with An Oblique Mean Flow , AIAA paper 2007-3509, 2007, [PS], [PDF].

• A. D. Jones and F. Q. Hu, A three-dimensional time-domain bounadry element method for the computation of exact Green's functions in acoustic analogy , AIAA paper 2007-3479, 2007, [PS], [PDF].

• F. Q. Hu, X.D. Li and D. K. Lin, PML absorbing boundary condition for non-linear aeroacoustics problems , AIAA paper 2006-2521, 2006, [PS], [PDF].

• A. D. Jones and F. Q. Hu, An investigation of spectral collocation bounadry element method for the computation of exact Green's functions in acoustic analogy , AIAA paper 2006-2636, 2006, [PS], [PDF].

• F. Q. Hu, On the construction of PML absorbing boundary condition for the non-linear Euler equations , AIAA paper 2006-0798, 2006, [PS], [PDF].

• F. Q. Hu, Y. P. Guo and A. D. Jones, On the computation and application of exact Green's function in acoustic analogy , AIAA paper 2005-2986, 2005, [PS], [PDF].

• F. Q. Hu, A Perfectly Matched Layer Absorbing Boundary Condition for Linearized Euler Equations With a Non-uniform Mean Flow , Journal of Computational Physics, Vol. 208, 469-492, 2005 [PS], [PDF].

• C. K. W. Tam and F. Q. Hu, An optimized multi-dimensional interpolation scheme for computational aeroacoustics applications using overset grids , AIAA-paper 2004-2812, 2004, [PDF].

• F. Q. Hu, On using Perfectly Matched Layer for the Euler equations with a non-uniform mean flow , AIAA-paper 2004-2966, 2004, [PS], [PDF].

• F. Q. Hu, Absorbing boundary conditions (a review), International Journal of Computational Fluid Dynamics, Vol. 18, No. 6, 513-522, 2004, [PS], [PDF]

• F. Q. Hu, Solution of aeroacoustic benchmark problems by discontinuous Galerkin method and Perfectly Matched Layer for nonuniform mean flows , To appear in the Proceedings of the 4th CAA Workshop on Benchmark Problems, 2003, [PS], [PDF]

• F. Q. Hu and H. L. Atkins, A discrete analysis of non-reflecting boundary conditions for Discontinuous Galerkin Method , AIAA-paper 2003-3301, 2003, [PS], [PDF].

• F. Q. Hu and H. L. Atkins, Two-dimensional wave analysis of the discontinuous Galerkin method with non-uniform grids and boundary conditions, AIAA-paper 2002-2514, 2002, [PS], [PDF].

• F. Q. Hu and H. L. Atkins, Eigensolution analysis of discontinuous Galerkin method. Part I, One space dimension, ICASE report 2001-40, Journal of Computational Physics,Vol. 182, 516-545, 2002, [PS],[PDF].

• F. Q. Hu, On Constructing stable Perfectly Matched Layers as an absorbing boundary condition for Euler equations, AIAA paper 2002-0227, 2002, [PS],[PDF].

• F. Q. Hu, A stable, Perfectly Matched Layer for linearized Euler equations in unsplit physical variables, Journal of Computational Physics, Vol. 173, 455-480, 2001, [PS]. [PDF].

• F. Q. Hu, Results of Benchmark problems for the third computational aeroacoustics workshop, NASA CP 2000-20790, 2000, [PS], [PDF]

• F. Q. Hu, On application of discontinuous Galerkin method to computational acoustics, AIAA paper 99-3308, 1999. [PDF].

• F. Q. Hu, M. Y. Hussaini and P. Rasetarinera, An analysis of the discontinuous Galerkin method for wave propagation problems, Journal of Computational Physics, Vol. 151, 921-946, 1999, [PS], [PDF].

• F. Q. Hu and J. L. Manthey, Application of PML absorbing boundary conditions to the Benchmark Problems of Computational Aeroacoustics, NASA CP 3352, 119-151, Second Computational Aeroacoustics (CAA) Workshop on Benchmark Problems, 1997, [PS], [PDF].

• F. Q. Hu, On Perfectly Matched Layer as an absorbing boundary condition, AIAA paper 96-1664, 1996, [PS], [PDF].

• F. Q. Hu, On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer, Journal of Computational Physics, Vol. 129, 201-219, 1996, [PS], [PDF].

• F. Q. Hu, M. Y. Hussaini and J. Manthey, Low-dissipation and -dispersion Runge-Kutta schemes for computational acoustics. Journal of Computational Physics, Vol. 124, 177-191, 1996, [PS], [PDF].

• F. Q. Hu, J. E. Martin and M. Y. Hussaini, On computing sound radiation of a temporally evolving mixing layer by vortex method and matched asymptotic expansions . AIAA paper 1996-0875, 1996, [PDF].

• F. Q. Hu, A spectral boundary integral equation method for the 2-D Helmholtz equation. Journal of Computational Physics, Vol. 120 (2), 340-347, 1995, [PS], [PDF].

• F. Q. Hu, The acoustic and instability waves of jets confined inside an acoustically lined rectangular duct, Journal of Sound and Vibration, Vol. 183, 841-856, 1995, [PS], [PDF].

• F. Q. Hu, A fast numerical solution of scattering by a cylinder: Spectral method for the boundary integral equations , Journal of Acoust. Soc. Am., Vol. 96, 3693-3703, 1994, [PDF].

• F. Q. Hu, A numerical study of wave propagation in a confined mixing layer by eigenfunction expansions , Physics of Fluids A, Vol. 5, No. 6, 1420-1426, 1993, [PDF].

• F. Q. Hu, T. L. Jackson, D. G. Lasseigne and C. E. Grosch, Absolute-convective instabilities and their associated wave packets in a compressible reacting mixing layer , Physics of Fluids A, Vol. 5, No. 4, 901-915, 1993, [PDF].

• F. Q. Hu, T. L. Jackson, D. G. Lasseigne and C. E. Grosch, Induced Mach wave-flame interactions in laminar supersonic fuel jets , Physics of Fluids A, Vol. 5, No. 5, 422-427, 1993, [PDF].

• C. K. W. Tam and F. Q. Hu, Resonant instability of ducted free supersonic mixing layers induced by periodic Mach waves , Journal of Fluid Mechanics, Vol. 229, 65-85, 1991, [PDF].

• F. Q. Hu and C. K. W. Tam, Parametric instability of supersonic shear layers induced by periodic Mach waves , Physics of Fluids A, Vol. 3, No. 6, 1845-1656, 1991, [PDF].

• C. K. W. Tam and F. Q. Hu, The instability and acoustics waves of supersonic mixing layers inside a rectangular channel , Journal of Fluid Mechanics, Vol. 203, 51-76, 1989, [PDF].

• C. K. W. Tam and F. Q. Hu, On the three families of instability waves of high speed jets , Journal of Fluid Mechanics, Vol. 201, 447-483, 1989, [PDF].

ICASE Reports

• ICASE Report 93-8, A Numerical Study Of Wave Propagation In A Confined Mixing Layer By Eigenfunction Expansions , [PDF], 1993.

• ICASE Report 93-98, The acoustic and instability waves of jets confined inside an acoustically lined rectangular duct , [PDF], 1993.

• ICASE Report 94-15, A spectral boundary integral equation method for the 2-D Helmholtz equation , [PDF], 1994.

• ICASE Report 94-36, A fast numerical solution of scattering by a cylinder : Spectral Method for the Boundary Integral Equations , [PDF], 1994.

• ICASE Report 94-102, Low-dissipation and -dispersion Runge-Kutta schemes for computational acoustics , [PDF], 1994.

• ICASE Report 95-70, On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer , [PDF], 1995.

• ICASE Report 2001-40, Eigensolution analysis of discontinuous Galerkin method. Part I, One space dimension , [PDF], 2001.