Y. Zhou and Z. J. Wang, “A Low-Frequency Instability/Oscillation near the
Airfoil Leading-Edge at Low Reynolds Numbers and Moderate Incidences,” AIAA-2011-3548.
J. Andren, H. Gao, M. Yano, D. Darmofal, C. Gooch, Z.J. Wang, “A Comparison of Higher-Order Methods on a Set of
Canonical Aerodynamics Applications,” AIAA-2011-3230.
Z.J. Wang, L. Shi, S. Fu, H.
Zhang, L. Zhang,“ A PNPM-CPR Framework for
Hyperbolic Conservation Laws,” AIAA-2011-3227.
T. Haga, H. Gao and Z. J. Wang, “A
High-Order Unifying Discontinuous Formulation for the Navier-Stokes
Equations on 3D Mixed Grids,” Math. Model. Nat. Phenom., accepted.
R. Kannan and Z.J. Wang, “Curvature and Entropy Based Wall Boundary Condition for
the High Order Spectral Volume Euler Solver,”
Computers and Fluids, accepted.
K. Kitamura, E. Shima, K. Fujimoto, and Z. J. Wang, “Performance
of Low-Dissipation Euler Fluxes and Preconditioned LU-SGS at Low Speeds,” Communications in Computational Physics, accepted.
R. Kannan and Z.J. Wang, “LDG2: A variant of the LDG flux formulation for the
Spectral Volume Method", Journal of Scientific Computing, 46 (2),
314-328 (2011).
K. Kitamura, K. Fujimoto, E. Shima, K. Kuzuu and Z. J. Wang, “Validation
of an Arbitrary Unstructured CFD Code for Aerodynamic Analyses,” Transactions of the Japan Society for Aeronautical and
Space Sciences 53 (182), 311–319 (2011).
C. Liang, K. Ou, S.
Premasuthan, A. Jameson, and Z. J. Wang, “High-order
accurate simulations of unsteady flow past plunging and pitching airfoils”, Computer & Fluids 40, 236-248 (2011).
Y. Zhou and Z.J. Wang, “Effect of Surface Roughness on Laminar Separation
Bubble over a Wing at a Low-Reynolds Number,” AIAA-2011-736.
T. Haga and Z.J. Wang, “Efficient Solution Techniques for High-Order Methods on
3-D Anisotropic Hybrid Meshes,” AIAA-2011-45.
H. Gao
and Z.J. Wang, “A Residual-Based Procedure for
Hp-Adaptation on 2-D Hybrid Meshes,” AIAA-2011-492.
2010
Y. Zhou and Z.J. Wang, “Absorbing boundary conditions for the Euler and Navier–Stokes equations with
the spectral difference method”, Journal of
Computational Physics 229, 8733–8749 (2010).
R. Kannan and Z.J. Wang, “The direct discontinuous Galerkin
(DDG) viscous flux scheme for the high order Spectral Volume method",
Computer & Fluids 39, (2010) 2007–2021.
H. Gao,
Z.J. Wang, and Y. Liu, “A study of curved boundary
representations for 2D high order Euler solvers,”
J. Scientific Computing 44, 323–336, 2010.
A.H. Mohammad, Z.J. Wang,
C.L. Liang, “Large eddy simulation of flow over a
cylinder using high-order spectral difference method,”
Advances in Applied Mathematics and Mechanics2 (4), 451-466, 2010.
Yi Li and Z.J. Wang, “A Frequency-optimized Discontinuous Formulation for
Wave Propagation Problems", AIAA-2010-5035.
V. Vikas, Z. J. Wang, A.
Passalacqua, R. O. Fox, “A fully coupled
fluid-particle solver using quadrature-based moment method with
higher-order realizable schemes on unstructured grids”,
7th International Conference on Multiphase Flow (ICMF), Tampa, Florida, May
30th – June 4th, 2010. [PDF]
R. Kannan and Z.J. Wang, “A high order Spectral Volume method for moving boundary
problems", AIAA-2010-4992.
Francesca Iacono, Georg May
and Z.J. Wang, “Relaxation Techniques for
High-Order Discretizations of Steady
Compressible Inviscid Flows", AIAA-2010-4991.
Y. Zhou and Z.J. Wang, “Implicit Large Eddy Simulation of Transitional Flow
over a SD7003 Wing Using High-order Spectral Difference Method", AIAA-2010-4442.
Y. Zhou and Z.J. Wang, “Simulation of CAA Benchmark Problems Using High-Order
Spectral Difference Method and Perfectly Matched Layers," AIAA-2010-838.
M. Yu, H. Hu, Z.J. Wang, “A Numerical Study of Flow Around
an Oscillating Airfoil with High-Order Spectral Difference Method,” AIAA-2010-726.
R. Harris and Z. J. Wang, “Partition Design and Optimization for High-Order
Spectral Volume Schemes on Tetrahedral Grids, AIAA-2010-720.
T. Haga, H. Gao, Z.J. Wang, “A High-Order Unifying Discontinuous Formulation for 3-D
Mixed Grids,” AIAA-2010-540.
V Vikas, Z J Wang, R.O. Fox,
A. Passalacqua, “High-Order Realizable Finite
Volume Schemes for Quadrature Based Moment Method, AIAA-2010-1080.
K. Kitamura, K. Fijimoto, E. Shima, Z. Wang,
“Performance of Low-Dissipation Euler Fluxes and
Preconditioned Implicit Schemes in Low Speeds,” AIAA-2010-1272.
2009
Z.J. Wang and Haiyang Gao, “A unifying lifting collocation penalty formulation including
the discontinuous Galerkin, spectral
volume/difference methods for conservation laws on mixed grids,” Journal of Computational Physics 228 (2009) 8161–8186.
R. Harris and Z.J. Wang, “High-order adaptive quadrature-free spectral volume
method on unstructured grids,” Computers &
Fluids 38 (2009) 2006–2025.
M. Yang and Z.J. Wang,
"A Parameter-Free Generalized Moment Limiter for High-Order Methods
on Unstructured Grids," Advances in Applied Mathematics and Mechanics
1 (2009), 451-480.
C. Liang, A. Jameson, and
Z.J. Wang, “Spectral difference method for
compressible flow on unstructured grids with mixed elements,” Journal of Computational Physics, 228 (2009) 2847–2858.
R. Kannan and Z.J. Wang, “A Study of Viscous Flux Formulations for a P-Multigrid Spectral Volume Navier
Stokes Solver" Journal of Scientific Computing 41 (2), (2009)
165-199.
T. Haga, K. Sawada, and Z.J.
Wang, “An Implicit LU-SGS Scheme for the Spectral
Volume Method on Unstructured Tetrahedral Grids,”
Communications in Computational Physics 6 (2009), 978-996.
Y. Sun, Z.J. Wang and Y. Liu,“Efficient
Implicit Non-linear LU-SGS Approach for Compressible Flow Computation
Using High-Order Spectral Difference Method”, Communications in
Computational Physics, Vol.5, No.2-4, pp. 760-778 (2009).
C. Liang, R. Kannan and Z.J. Wang, “A p-multigrid Spectral Difference method with explicit and
implicit smoothers on unstructured triangular grids,” Computers &
Fluids 38, 254–265 (2009).
H. Gao and Z.J. Wang , " A High-Order
Lifting Collocation Penalty Formulation for the Navier-Stokes
Equations on 2-D Mixed Grids,” AIAA-2009-3784
Z.J. Wang and H. Gao,
"A Unifying Lifting Collocation Penalty Formulation for the Euler
Equations on Mixed Grids,” AIAA-2009-401.
C. Liang, S. Premasuthan,A.Jameson,Z.J.Wang, "Large Eddy Simulation
of Compressible Turbulent Channel Flow with Spectral Difference
Method," AIAA-2009-402.
M. Yang and Z.J. Wang, "A Parameter-Free
Generalized Moment Limiter for High-Order Methods on Unstructured
Grids," AIAA-2009-605.
S. Premasuthan, C. Liang, A. Jameson and Z.J.Wang, "A p-Multigrid
Spectral Difference method for viscous compressible flow using 2D
quadrilateral meshes," AIAA-2009-950.
K. Fujimoto, K. Fujii, and Z. J. Wang,
"Improvements in the Reliability and Efficiency of Body-fitted
Cartesian Grid Method," AIAA-2009-1173.?/font>
R. Harris and Z. J. Wang, "Partition
Design and Optimization for High-Order Spectral Volume Schemes," AIAA-2009-1333.
2008
K Van den Abeele, C. Lacor and Z.J. Wang,
"On the stability and accuracy of the spectral difference method,”
Journal of Scientific Computing, Journal of Scientific Computing 37,
(2008) 162–188.
R. Harris, Z.J. Wang and Y. Liu, “Efficient
Quadrature-Free High-Order Spectral Volume Method on Unstructured Grids:
Theory and 2D Implementation,” Journal of Computational Physics, Volume
227, No. 3, pp. 1620-1642 (2008).
J.P. Bons, S.T. McClain, Z.J. Wang, X. Chi and
T. I.-P. Shih, “A Comparison of Approximate Vs. Exact Geometrical
Representations of Roughness for CFD Calculations of Cp and St,” Journal
of Turbomachinery, Volume 130, 021024 (2008).
A. H. Mohammad, Z. J. Wang, and C. Liang,
"Large Eddy Simulation of Flow over a Cylinder Using High-Order
Spectral Difference Method," AIAA-2008-7184.
R. Harris and Z.J. Wang, High-Order Adaptive
Quadrature-Free Spectral Volume Method on Unstructured Grids, AIAA-2008-779.
H. Gao, H. Hu and Z.J.
Wang, Computational Study of Unsteady Flows around Dragonfly and Smooth
Airfoils at Low Reynolds Numbers, AIAA-2008-385.
R. Kannan, Y. Sun and Z.J. Wang, A Study of Viscous Flux Formulations for an Implicit P-Multigrid Spectral Volume Navier
Stokes Solver, AIAA-2008-783.
2007
Z.J. Wang, “High-order methods for the Euler
and Navier–Stokes equations on unstructured
grids,” Journal of Progress in Aerospace Sciences, Vol. 43, pp. 1–41
(2007).
K Van den Abeele, C. Lacor and Z.J. Wang,
"On the connection between the spectral volume and the spectral
difference method,” Journal of Computational Physics, Volume 227, No. 2,
pp. 877-885 (2007).
R. Kannan and Z.J. Wang, “Overset Adaptive
Cartesian/Prism Grid Method for Moving Boundary Flow Problems,” AIAA
Journal, Vol. 45, No. 7, pp. 1774-1779 (2007).
Z.J. Wang, Y. Liu, G. May and A. Jameson,
“Spectral Difference Method for Unstructured Grids II: Extension to the
Euler Equations,” Journal of Scientific Computing, Vol. 32, No. 1, pp.
45-71 (2007).
Y. Sun, Z.J. Wang and Y. Liu, “High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations on Unstructured Hexahedral
Grids”, Communications in Computational Physics, Vol. 2, No. 2, pp. 310-333
(2007).
Y. Sun, Z.J. Wang, and Y. Liu, “Efficient
Implicit LU- SGS Scheme For Viscous Flow Computation Using High- Order
Spectral Difference Method,” AIAA-2007-4322.
H. Yang, R. Harris, Z. Wang, and Y. Liu, “Efficient
Quadrature- Free 3d High- Order Spectral Volume Method On
Unstructured Grids,” AIAA-2007-4325.
P. Tota, and Z.J.
Wang, “Meshfree Euler Solver Using Local Radial
Basis Functions For Inviscid Compressible Flows,” AIAA-2007-4581.
C. Liang, R. Kannan And
Z. Wang, “P- Multigrid Spectral Difference
Method With Explicit and Implicit Smoothers On Unstructured Grids,” AIAA-2007-4326.
C. Chen, Y. Chen, B. Chen, R. Jain, Z.J. Wang,
Lund, “High Fidelity Multidisciplinary Tool Development For Helicopter
Quieting,” AIAA-2007-3807.
Y. Sun, Z.J. Wang and Y. Liu, “Efficient
Implicit LU-SGS Scheme for High-Order Spectral Difference Method on
Unstructured Hexahedral Grids”, AIAA-2007-313.
R. Harris, Z.J. Wang and Y. Liu, “Efficient
Implementation of High-Order Spectral Volume Method for Multidimensional
Conservation Laws on Unstructured Grids”, AIAA-2007-912.
K. Varma, H. Hu and Z.J. Wang, “Numerical
Investigation of The Effect Of Buoyancy on the
Wake Instability of a Heated Cylinder in a Contra Flow” AIAA-2007-0801.
M. Tamai, G. He, Z.J.
Wang, G. Rajagopalan and H. Hu,"Aerodynamic
Performance of A Corrugated Dragonfly Airfoil Compared with Smooth
Airfoils at Low-Reynolds-Numbers", AIAA-2007-0483,
45th AIAA Aerospace Sciences Meeting And Exhibit, Jan 8 – 11, 2007, Reno,
Nevada.
2006
X. Lv, Y. Zhao，X.Y. Huang, G.H. Xia, and
Z.J. Wang, “An Efficient Parallel/Multigrid
Preconditioned Implicit Compressible Solver on Unstructured Grids for
Simulating 3D Unsteady Flows with Moving Objects,” Journal of
Computational Physics. Volume 215, Issue 2, 1 July 2006, Pages 661-690.
Y. Liu, M. Vinokur, and Z.J. Wang,
"Discontinuous Spectral Difference Method for Conservation Laws on
Unstructured Grids," Journal of Computational Physics Vol. 216, pp.
780-801 (2006).
Y. Sun, Z.J. Wang and Y. Liu, “Spectral
(Finite) Volume Method for Conservation Laws on Unstructured Grids VI:
Extension to Viscous Flow,” Journal of Computational Physics Vol. 215, No.
1, pp. 41-58 (2006).
Y. Liu, M. Vinokur, and Z.J. Wang, "
Spectral (Finite) Volume Method for Conservation Laws on Unstructured
Grids V: Extension to Three-Dimensional Systems," Journal of
Computational Physics Vol. 212, pp. 454-472 (2006).
Z.J. Wang and Y. Liu, “Extension of the
Spectral Volume Method to High-Order Boundary Representation,” Journal of
Computational Physics Vol. 211, pp. 154-178 (2006).
R. Kannan and Z.J. Wang, “A Parallel Overset
Adaptive Cartesian/Prism Grid Method for Moving Boundary Flow Problems”,
in Proceedings of the 4th International Conference on Computational Fluid
Dynamics, Ghent, Belgium, July 2006.
Z.J. Wang, Y. Sun, C. Liang and Y. Liu,
“Extension of the Spectral Difference Method to Viscous Flow on
Unstructured Grids”, in Proceedings of the 4th International Conference on
Computational Fluid Dynamics, Ghent, Belgium, July 2006.
Sun, Y., Wang, Z.J. and Liu, Y., “High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations,” AIAA-2006-0301.
Wang, Zhu and Wang, Z.J., “A Fast Level Set
Method with Particle Correction on Adaptive Cartesian Grid,” AIAA-2006-0887.
Yoon, S., Na, S., Wang, Z.J., Bons, J.P. and
Shih, T.I-P., “Flow and Heat Transfer over Rough Surfaces: Usefulness of
2-D Roughness-Resolved Simulations,” AIAA-2006-0025.
2005 &
before
Wang, Z.J. and Liu, Y., "The Spectral
Difference Method for the 2D Euler Equations on Unstructured Grids ," AIAA-2005-5112.
Huang, P.G., Wang, Z.J. and Liu, Y.,"An Implicit Space-Time Spectral Difference
Method for Discontinuity Capturing Using Adaptive Polynomials," AIAA-2005-5255.
B. Greschner, C. Yu,
S. Zheng, M. Zhuang, Z. J. Wang and F. Thiele, "Knowledge Based
Airfoil Aerodynamic and Aeroacoustic
Design," AIAA-2005-2968.
Wang, Zhu. and Wang, Z.J.,"Multi-Phase Flow Computation with Semi-Lagrangian Level Set Method on Adaptive Cartesian
Grids," AIAA-2005-1390.
Wang, Z.J. and Kannan,R.,"An Overset Adaptive Cartesian/Prism
Grid Method for Moving Boundary Flow Problems," AIAA-2005-0322.
Liu, Y., Vinokur, M. and Wang, Z.J. ,"Multi-Dimensional Spectral Difference Method
for Unstructured Grids," AIAA-2005-0320.
Grove, D. and Wang, Z.J., "Computational
Fluid Dynamics Study of Turbulence Modeling for an Ogive
Using a 2N Tree Based Cartesian Grid Generator," AIAA-2005-1042.
Z.J. Wang, L. Zhang and Y. Liu, "Spectral
(Finite) Volume Method for Conservation Laws on Unstructured Grids IV:
Extension to Two-Dimensional Euler Equations ", J. of Comput. Physics, Vol. 194, No. 2, pp. 716-741 (2004).here
Wang, Z.J. and Liu, Yen, "Spectral
(Finite) Volume Method for Conservation Laws on Unstructured Grids III:
Extension to One-Dimensional Systems", J. Scientific Computing, Vol.
20 No. 1, pp.137-157 (2004). here
Sun, Yuzhi and Wang, Z.J., "Evaluation of
Discontinuous Galerkin and Spectral Volume
Methods for Conservation Laws on Unstructured Grids,"AIAA
Paper No. 2003-0253. here
Wang, Z.J., "High-Order Spectral Volume
Method for Benchmark Aeroacoustic
Problems," AIAA Paper No. 2003-0880. here
Wang, Z.J. and Liu, Yen, "Spectral
(Finite) Volume Method for Conservation Laws on Unstructured Grids II:
Extension to Two-Dimensional Scalar Equation", J. Comput. Physics, Vol. 179, pp. 665-697
(2002).here
Wang, Z.J., "Spectral (Finite) Volume
Method for Conservation Laws on Unstructured Grids: Basic
Formulation", J. Computational Physics, Vol. 178, pp. 210-251
(2002).here
Wang, Z.J., Przekwas,
A.J. and Liu, Yen, "A FV-TD Electromagnetic Solver Using Adaptive
Cartesian Grids," Computer Physics Communications, Vol. 148,
pp. 17-29 (2002). here
Wang, Z.J. and Srinivasan,
K., "An Adaptive Cartesian Grid Generation Method for 'Dirty'
Geometry," International Journal for Numerical Methods in Fluids ,
Vol. 39, pp. 703-717, 2002, here.
Wang, Z.J., and Liu, Yen, "A High-Order
Spectral (Finite) Volume Method for Conservation Laws on Unstructured
Grids," AIAA-2002-1058
.
Wang, Z.J., and Sun Yuzhi, "A
Curvature-Based Wall Boundary Condition for the Euler Equations on
Unstructured Grids," AIAA-2002-0966
.
Wang, Z.J. and Chen, R.F., "Parallel
Adaptive Cartesian Grid Method for Viscous Flow with Complex
Geometries,"CFD Journal,
Vol. 10, No. 4, pp.575-584, 2002.
Wang, Z.J., Hariharan, N and Chen, R.F.,
"Recent Development on the Conservation Property of Chimera", International
J. of Computational Fluid Dynamics , Vol. 15, No. 4, pp. 265-278,
2001.
Wang, Z.J. and Srinivasan,
K., "Complex Dirty Geometry Handling with an Interior-to-Boundary
Grid Generation Method," AIAA
Paper No. 2001-2538 , 2001.
Wang, Z.J. and Chen, R.F., "Optimized
Essentially Non-Oscillatory Schemes for Computational Aeroacoustics,"
AIAA Paper No. 2001-1101 ,
2001.
Wang, Z.J. and Chen, R.F., "Anisotropic
Cartesian Grid Method for Viscous Turbulent Flow," AIAA Paper No. 2000-0395(gzipped) , 2000.
Chen, R.F. and Wang, Z.J., "Fast, Block
Lower-Upper Symmetric Gauss Seidel Scheme for Arbitrary Grids," AIAA
Journal, vol. 38, no. 12, pp. 2238-2245, 2000.
Wang, Z.J. and V. Parthasarathy,
"A Fully Automated Chimera Methodology for Multiple Moving Body
Problems," International Journal for Numerical Methods in Fluids ,
vol. 33, No. 7, pp 919-938, 2000.
Wang, Z.J., "A Fast Nested Multi-Grid
Viscous Flow Solver for Adaptive Cartesian/Quad Grids," International
Journal for Numerical Methods in Fluids, vol. 33, No. 5, pp. 657-680,
2000.
Wang, Z.J., "Improved Formulation for
Geometric Properties of Arbitrary Polyhedra,"
AIAA Journal ,
vol. 37, pp 255, 1999.
Wang, Z.J., Chen, R.F., N. Hariharan, A.J. Przekwas and D. Grove, "A 2^N Tree Based
Automated Viscous Cartesian Grid Methodology for Feature Capturing," AIAA Paper No. 99-3300 , 1999.
Wang, Z.J. and Bayyuk,
S.A., "An Automated, Adaptive, Unstructured, Cartesian-Prism-Based
Technique for Moving Boundary Simulations," in Proceedings of 6th
International Conference on Numerical Grid Generation in Computational
Field Simulations, pp. 619-628, University of Greenwich, London, July
1998. pdf