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¨C8186.
R. Harris and Z.J. Wang, ¡°High-order adaptive quadrature-free spectral
volume method on unstructured grids,¡± Computers & Fluids 38 (2009) 2006¨C2025.
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¨C2858.
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¨C265
(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.ì
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 volume method,¡±
Journal of Scientific Computing, Journal of Scientific Computing 37, (2008)
162¨C188.
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¨CStokes equations on unstructured grids,¡± Journal
of Progress in Aerospace Sciences, Vol. 43, pp. 1¨C41 (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 ¨C 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.
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.
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