Professor

Mathematics & Statistics

#### Fang Hu

2216 ENGR & COMP SCI BLDG

NORFOLK, 23529

**Ph.D.** in Mathematics, Florida State University, (1990)

**M.S.** in Engineering, Zhejiang University, (1985)

**B.S.** in Mathematics, Zhejiang University, (1982)

## Contracts, Grants and Sponsored Research

- Hu, F. Q. "TD-FAST (Time Domain Fast Acoustic Scattering Toolkit)" $82,400. Other. May 5, 2017 - March 31, 2018
- Hu, F. Q. "Fast and efficient computing of acoustic scattering and its application to aircraft noise prediction. Federal. June 10, 2011 - March 30, 2015
- Hu, F. Q. "Supperssion of instability waves for linear aeroacoustics computations in time domain. State. June 1, 2009 - December 31, 2012
- Hu, F. Q. "Analysis and implementation of accurate numerical boundary conditions for Large Eddy Simulations and the Boltzmann equation" $146,000. Federal. September 1, 2008 - August 31, 2011
- Hu, F. Q. "Study of dispersive waves and development of accurate non-reflecting boundary conditions" $120,846. Federal. September 1, 2004 - August 31, 2008
- Hu, F. Q. "Investigation of airframe noise based on steady RANS simulations" $148,737. Federal. August 25, 2003 - August 24, 2006
- Hu, F. Q. "An investigation of wave propagations in Discontinuous Galerkin Method. Federal. March 1, 2001 - February 28, 2004

## Articles

- Hu, F. Q., Pizzo, M. E.. and Nark, D. M.. (2017). On a time domain boundary integral equation formulation for acoustic scattering by rigid bodies in uniform mean flow.
*The Journal of the Acoustical Society of America*142 (6) , pp. 3624-3636. - Kocaogul, I., Hu, F. Q. and Li, X. (2014). Adjoint problem in duct acoustics and its reciprocity to forward problem by the Time Domain Wave Packet method.
*Bulletin of the American Physical Society*. - Fernando, A. M. and Hu, F. Q. (2014). Computationally-inferred numerical wave number for non-uniform grids.
- Hu, F. Q. (2014). Further Development of a Time Domain Boundary Integral Equation Method for Aeroacoustic Scattering Computations.
- Hu, F. Q., Li, X., Li, X. and Jiang, M. (2014). Time Domain Wave Packet method and suppression of instability waves in aeroacoustic computations.
*Journal of Fluids Engineering*136 (6) , pp. 060905. - Hu, F. Q. (2013). An efficient solution of time domain boundary integral equations for acoustic scattering and its acceleration by Graphics Processing Units.
- Hu, F. Q., Kocaogul, I. and Li, X. (2012). On the adjoint problem in duct acoustics and its solution by the Time Domain Wave Packet method.
*AIAA paper*(2012-2247). - Lin, D., Li, X. and Hu, F. Q. (2011). Absorbing boundary condition for nonlinear Euler equations in primitive variables based on the Perfectly Matched Layer technique.
*Computers & Fluids*40 (1) , pp. 333–337. - Fernando, A. M. and Hu, F. Q. (2011). DGM-FD: A finite difference scheme based on the discontinuous Galerkin method applied to wave propagation.
*Journal of Computational Physics*230 (12) , pp. 4871–4898. - Liu, L., Li, X. and Hu, F. Q. (2010). Nonuniform time-step Runge–Kutta discontinuous Galerkin method for computational aeroacoustics.
*Journal of Computational Physics*229 (19) , pp. 6874–6897. - Craig, E. and Hu, F. Q. (2010). On the Perfectly Matched Layer for the Boltzmann-BGK Equation and its Application to Computational Aeroacoustics.
*& Proceedings 저널 프로시딩즈| 기술보고서| 해외연구초록| Reference DB| 공학설계| 부품규격| 항공우주특허| 논문스크랩| 연구자 DB 해외개발| 국내개발| 우주기술전략지도| AIAA 연차보고서| 저널번역| 일본항공우주| 국내연구성과| IP 제공정보| 부품개발현황 ARIC 용어사전| 교육도서| 인물사건| Web Link| 항공 우주 Spec 항공우주기사| 학술행사안내| 과제 기관소식| 해외개발 소식| 뉴스레터 자유게시판| 오피니언| 실험실/업체 홍보| 갤러리*. - Lin, D., Li, X. and Hu, F. Q. (2009). PML Absorbing Boundary Condition for Nonlinear Euler Equations in Primitive Variables.
*& Proceedings 저널 프로시딩즈| 기술보고서| 해외연구초록| Reference DB| 공학설계| 부품규격| 항공우주특허| 논문스크랩| 연구자 DB 해외개발| 국내개발| 우주기술전략지도| AIAA 연차보고서| 저널번역| 일본항공우주| 국내연구성과| IP 제공정보| 부품개발현황 ARIC 용어사전| 교육도서| 인물사건| Web Link| 항공 우주 Spec 항공우주기사| 학술행사안내| 과제 기관소식| 해외개발 소식| 뉴스레터 자유게시판| 오피니언| 실험실/업체 홍보| 갤러리*. - Parrish, S. A. and Hu, F. Q. (2009). 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*60 (5) , pp. 565–589. - Fernando, A. and Hu, F. Q. (2008). a finite difference scheme based on the discontinuous Galerkin method applied to wave propagation.
*AIAA*. - Parrish, S. A. and Hu, F. Q. (2008). A survey of PML absorbing boundary conditions for the Euler equations in cylindrical coordinates.
*INTER-NOISE and NOISE-CON Congress and Conference Proceedings*2008 (4) , pp. 5196–5214. - Hu, F. Q., Li, X. D. and Lin, D. K. (2008). Absorbing boundary conditions for nonlinear Euler and Navier-Stokes equations based on the perfectly matched layer technique.
*Journal of Computational Physics*227 , pp. 4398-4424. - Hu, F. Q. (2008). Development of PML absorbing boundary conditions for computational aeroacoustics: A progress review.
*Computers & Fluids*37 , pp. 336-348. - Parrish, S. A. and Hu, F. Q. (2008). PML absorbing boundary conditions for the linearized and nonlinear Euler equations in the case of oblique mean flow.
*International Journal of Numerical Methods in Fluids*. - Jones, A. and Hu, F. Q. (2007). A Three-dimensional Time-domain Boundary Element Method for the Computation of Exact Green’s Functions in Acoustic Analogy.
*13th AIAA/CEAS Aeroacoustics*, pp. 3479. - Parrish, S. A. and Hu, F. Q. (2007). Application of PML absorbing boundary condition to aeroacoustics problems with an oblique mean flow.
*AIAA Paper*3509 , pp. 2007. - Hu, F. Q. and Parrish, S. A. (2006). On developing a PML absorbing boundary condition for computational aeroacoustics with oblique mean flow.
*INTER-NOISE and NOISE-CON Congress and Conference Proceedings*2006 (6) , pp. 1690–1699. - Hu, F. Q. (2006). On the construction of PML absorbing boundary condition for the non-linear Euler equations.
*AIAA*. - Hu, F. Q., Li, X. D. and Lin, D. K. (2006). PML absorbing boundary condition for non-linear aeroacoustics problems.
*AIAA*2521. - Hu, F. Q. (2005). A perfectly matched layer absorbing boundary condition for linearized Euler equations with a non-uniform mean flow.
*Journal of Computational Physics*208 , pp. 469-492. - Jones, A. and Hu, F. Q. (2005). An Investigation of Spectral Collocation Boundary Element Method for the Computation of Exact Green’s Function in Acoustic Analogy.
*AIAA paper*2636 , pp. 2006. - Hu, F. Q., Guo, Y. P. and Jones, A. D. (2005). On the computation and application of exact Green's function in acoustic analogy.
*AIAA*2986. - Hu, F. Q. (2004). Absorbing boundary conditions.
*International Journal of Computational Fluid Dynamics*18 (6) , pp. 513–522. - Hu, F. Q. (2004). An Investigation of Wave Propagations in Discontinuous Galerkin Method.
- Tam, C. KW. and Hu, F. Q. (2004). An optimized multi-dimensional interpolation scheme for computational aeroacoustics applications using overset grids.
*AIAA paper*2812 , pp. 2004. - Hu, F. Q. (2004). On using Perfectly Matched Layer for the Euler equations with a non-uniform mean flow.
*AIAA-Paper*2966 , pp. 2004. - Hu, F. Q. (2004). Solution of aeroacoustic benchmark problems by discontinuous Galerkin method and Perfectly Matched Layer for nonuniform mean flows.
*the Proceedings of the 4th CAA Workshop on Benchmark Problems, NASA/CP-2004-212954*. - Hu, F. Q. and Atkins, H. L. (2003). A discrete analysis of non-reflecting boundary conditions for discontinuous Galerkin method.
*AIAA paper*3301. - Hu, F. Q. and Atkins, H. L. (2002). Eigensolution analysis of the discontinuous Galerkin method with nonuniform grids: I. one space dimension.
*Journal of Computational Physics*182 (2) , pp. 516–545. - Hu, F. Q. (2002). On constructing stable perfectly matched layers as an absorbing boundary condition for Euler equations.
*American Institute of Aeronautics and Astronautics Paper*227. - Hu, F. Q. and Atkins, H. L. (2002). Two-dimensional wave analysis of the discontinuous Galerkin method with non-uniform grids and boundary conditions.
*Proceedings of the 8th AIAA/CEAS Aeroacoustics Conference*. - Hu, F. Q. (2001). A stable, perfectly matched layer for linearized Euler equations in unsplit physical variables.
*Journal of Computational Physics*173 (2) , pp. 455–480. - Zhu, C., Hu, F. Q. and Burden, D. S. (2001). Multi-component reactive transport modeling of natural attenuation of an acid groundwater plume at a uranium mill tailings site.
*Journal of Contaminant Hydrology*52 (1) , pp. 85–108. - Hu, F. Q. (2000). Results of Benchmark Problems for the Third Computational Aeroacoustics Workshop.
*Third Computational Aeroacoustics(CAA) Workshop on Benchmark Problems*1. - Hu, F. Q., Hussaini, M. and Rasetarinera, P. (1999). An analysis of the discontinuous Galerkin method for wave propagation problems.
*Journal of Computational Physics*151 (2) , pp. 921–946. - Hu, F. Q. (1999). Application of discontinuous Galerkin method to computational acoustics.
*AIAA Computational Fluid Dynamics Conference, 14 th, Norfolk, VA*. - Hayder, M. Ehtesham., Hu, F. Q. and Hussaini, M. Yousuff. (1999). Toward perfectly absorbing boundary conditions for Euler equations.
*AIAA journal*37 (8) , pp. 912–918. - Hu, F. Q. and Manthey, J. L. (1997). Application of PML absorbing boundary conditions to the benchmark problems of computational aeroacoustics.
*NASA Conference Publication*, pp. 119–152. - An, On Perfectly Matched Layer As and Hu, F. Q. (1996). 2nd AIAA/CEAS Aeroacoustics Conference May 6-8, 1996/State College, PA.
- Hu, F. Q., Hussaini, M. Yousuff. and Manthey, J. (1996). Low-dissipation and low-dispersion Runge–Kutta schemes for computational acoustics.
*Journal of Computational Physics*124 (1) , pp. 177–191. - Hu, F. Q. (1996). On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer.
*Journal of Computational Physics*129 (1) , pp. 201–219. - Hu, F. Q., Martin, J. and Hussaini, M. (1996). On computing sound radiation of a temporally evolving mixing layer by vortex method and matched asymptotic expansions.
*AIAA paper*, pp. 96–0875. - Hu, F. Q. (1996). On perfectly matched layer as an absorbing boundary condition.
*AIAA paper*, pp. 96–1664. - Otto, SR, Jackson, T. and Hu, F. Q. (1996). On the spatial evolution of centrifugal instabilities within curved incompressible mixing layers.
*Journal of Fluid Mechanics*315 , pp. 85–103. - Hu, F. Q. (1995). The acoustic and instability waves of jets confined inside an acoustically lined rectangular duct.
*Journal of sound and vibration*183 (5) , pp. 841–856. - Hu, F. Q. (1994). A fast numerical solution of scattering by a cylinder: Spectral method for the boundary integral equations.
*The Journal of the Acoustical Society of America*96 (6) , pp. 3693–3703. - Otto, SR, Jackson, T. Luther. and Hu, F. Q. (1994). On the evolution of centrifugal instabilities within curved incompressible mixing layers.
*Institute for Computer Applications in Science and Engineering (ICASE)*. - Hu, F. Q. (1993). A numerical study of wave propagation in a confined mixing layer by eigenfunction expansions.
*Physics of Fluids A: Fluid Dynamics (1989-1993)*5 (6) , pp. 1420–1426. - Hu, F. Q., Jackson, T., Lasseigne, D. and Grosch, C. E. (1993). Absolute–convective instabilities and their associated wave packets in a compressible reacting mixing layer.
*Physics of Fluids A: Fluid Dynamics (1989-1993)*5 (4) , pp. 901–915. - Hu, F. Q., Jackson, T., Lasseigne, D. and Grosch, C. E. (1993). Induced Mach wave–flame interactions in laminar supersonic fuel jets.
*Physics of Fluids A: Fluid Dynamics (1989-1993)*5 (2) , pp. 422–427. - Lasseigne, D., Jackson, T. and Hu, F. Q. (1992). Temperature and suction effects on the instability of an infinite swept attachment line.
*Physics of Fluids A: Fluid Dynamics (1989-1993)*4 (9) , pp. 2008–2012. - Hu, F. Q. and Tam, C. KW. (1991). Parametric instability of supersonic shear layers induced by periodic Mach waves.
*Physics of Fluids A: Fluid Dynamics (1989-1993)*3 (6) , pp. 1645–1656. - Tam, C. KW. and Hu, F. Q. (1991). Resonant instability of ducted free supersonic mixing layers induced by periodic Mach waves.
*Journal of Fluid Mechanics*229 , pp. 65–85. - Tam, C. KW. and Hu, F. Q. (1989). On the three families of instability waves of high-speed jets.
*Journal of Fluid Mechanics*201 , pp. 447–483. - Tam, C. KW. and Hu, F. Q. (1989). The instability and acoustic wave modes of supersonic mixing layers inside a rectangular channel.
*Journal of Fluid Mechanics*203 , pp. 51–76. - Tam, C. and Hu, F. Q. (1988). Instabilities of supersonic mixing layers inside a rectangular channel.
*AIAA Paper*, pp. 88–3675.

## Books

- Hu, F. Q. and Atkins, H. L. (2001).
*Eigensolution analysis of the discontinuous Galerkin method with non-uniform grids*. na.

## Book Chapters

- Hu, F. Q. (2007). Boundary conditions for acoustics
*Large Eddy Simulation for Acoustics*Cambridge Press. - Rasetarinera, P., Hussaini, M. and Hu, F. Q. (2000). Some remarks on the accuracy of a discontinuous Galerkin method
*Discontinuous Galerkin Methods*(pp. 407–412) Springer Berlin Heidelberg. - Hu, F. Q., Otto, SR and Jackson, T. (1994). On the stability of a curved mixing layer
*Transition, Turbulence and Combustion*(pp. 107–116) Springer Netherlands.

## Conference Proceeding

- Parrish, S. and Hu, F. Q. (2007). Construction of Perfectly Matched Layer in cylindrical coordinates with non-zero mean flow
*APS Division of Fluid Dynamics Meeting Abstracts*. - Hu, F. Q., Hussaini, M. and Manthey, J. A. (1995). Application of low dissipation and dispersion Runge-Kutta schemes to benchmark problems in computational aeroacoustics
*ICASE/LaRC workshop on benchmark problems in computational aeroacoustics (CAA)*(pp. 73–98). - Hu, F. Q. (1995). On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer J. Comput. Phys.

## Presentations

- Fernando, A. and Hu, F. Q. (May , 2008). A finite difference scheme based on the discontinuous Galerkin 14th AIAA/CEAS Aeroacoustics Conference Vancouver, British Columbia, Canada.
- Jones, A. and Hu, F. Q. (May , 2007). A three-dimensional time-domain boundary element method for the computation of exact Green's functions in acoustic analogy 13th AIAA/CEAS Aeroacoustics Conference Rome, Italy.
- Parrish, S. A. and Hu, F. Q. (May , 2007). Application of PML absorbing boundary condition to aeroacoustics problems with an oblique mean flow 14th AIAA/CEAS Aeroacoustics Conference Rome, Italy.
- Hu, F. Q. and Parrish, S. A. (December , 2006). PML absorbing boundary condition for oblique mean flows INTER-NOISE 2006 Honolulu, Hawaii.
- Jones, A. and Hu, F. Q. (May , 2006). An investigation of spectral collocation boundary element method for the computation of exact Green's functions in acoustic analogy 12th AIAA/CEAS Aeroacoustics Conference Cambridge, Massachusetts.
- Hu, F. Q., Li, X. D. and Lin, D. K. (May , 2006). PML absorbing boundary condition for non-linear aeroacoustics problems 12th AIAA/CEAS Aeroacoustics Conference Cambridge, MA.
- Hu, F. Q. (January , 2006). On the construction of PML absorbin boundary condition for the non-linear Euler equations 44th AIAA Aerospace Science Meeting and Exhibit Reno, NV.
- Hu, F. Q. ( 2005). A survey of numerical schemes for computational aeroacoustics, I & II Marseille, France.
- Hu, F. Q. (December 5, 2005). Non-reflecting boundary conditions for computational aeroacoustics Beijing, China.
- Hu, F. Q. (July , 2005). Non-reflecting boundary conditions for computational aeroacoustics Euromech:Turbulent Flow and Noise Generation Marseille, France.
- Hu, F. Q., Guo, Y. P. and Jones, A. D. (May , 2005). On the computation and application of exact Green's function in acoustic analogy 11th AIAA/CEAS Aeroacoustics Conference Monterey, CA.