Suchuan Dong
Professor of Mathematics
Purdue University
Home  About Me  Publications  Research  Miscellaneous 
Journal Papers

S. Dong & Z. Li. A modified batch intrinsic plasticity method for pretraining
the random coefficients of extreme learning machines. submitted, 2021.
[arXiv]

S. Dong & Z. Li. Local extreme learning machines and domain decomposition for solving
linear and nonlinear partial differential equations. submitted, 2020.
[arXiv]

S. Dong & N. Ni. A method for representing periodic functions and enforcing exactly
periodic boundary conditions with deep neural networks. Journal of Computational Physics,
435, 110242, 2021.
[PDF] [arXiv]

Y. Qian, Z. Yang, F. Wang & S. Dong. gPAVbased unconditionally energystable schemes
for the CahnHilliard equation: Stability and error analysis. Computer Methods in Applied
Mechanics and Engineering, 372, 113444, 2020. [PDF]
[arXiv]

X. Liu, Z. Xie & S. Dong. On a simple and effective thermal open
boundary condition for convective heat transfer problems. International Journal of
Heat and Mass Transfer, 151, 119355, 2020. [PDF]
[ResearchGate]
[arXiv]

L. Lin, N. Ni, Z. Yang & S. Dong. An energystable scheme for incompressible
NavierStokes equations with periodically updated coefficient matrix.
Journal of Computational Physics, 418, 109624, 2020.
[PDF] [arXiv] [ResearchGate]

L. Lin, X. Liu & S. Dong. A gPAVbased unconditionally energystable scheme
for incompressible flows with outflow/open boundaries. Computer Methods
in Applied Mechanics and Engineering, 365, 112969, 2020.
[PDF]
[arXiv]

Z. Yang & S. Dong. A roadmap for discretely energystable schemes for
dissipative systems based on a generalized auxiliary variable with
guaranteed positivity. Journal of Computational
Physics, 404, 109121, 2020.
[PDF] [arXiv]

Z. Wang, S. Dong, M.S. Triantafyllou, Y. Constantinides & G.E. Karanidakis.
A stabilized phasefield method for twophase flow at high Reynolds number and
large density/viscosity ratio. Journal of Computational Physics,
397, 108832, 2019. [PDF]

Z. Yang & S. Dong. An unconditionally energystable scheme
based on an implicit auxiliary energy variable for
incompressible twophase flows with different densities
involving only precomputable coefficient matrices.
Journal of Computational Physics, 393, 229257, 2019. [PDF] [arXiv]

S.H. Challa, S. Dong & L.D. Zhu. A threedimensional hybrid
spectral elementFourier spectral method for wallbounded
twophase flows. submitted, 2018. [arXiv]

N. Ni, Z. Yang & S. Dong. Energystable boundary conditions
based on a quadratic form: Applications to
outflow/openboundary problems in incompressible flows.
Journal of Computational Physics, 391, 179215, 2019.
[PDF]
[arXiv]

L. Lin, Z. Yang & S. Dong. Numerical approximation of incompressible NavierStokes equations
based on an auxiliary energy variable. Journal of Computational Physics,
388, 122, 2019.
[PDF] [arXiv]

S. Yue, F. Lin, Q. Zhang, N. Epie, S. Dong, X. Shan, D. Liu, W.K. Chu,
Z. Wang & J. Bao. Gold implanted plasmonic quartz plates as a
launch pad for laser driven phototacoustic microfluidic pumps.
Proceedings of National Academy of Sciences of USA, 116(14),
65806585, 2019.
[PDF]

Z. Yang, L. Lin & S. Dong. A family of secondorder energystable
schemes for CahnHilliard type equations.
Journal of Computational Physics, 383, 2454,
2019. [PDF] [arXiv]

Z. Yang & S. Dong. Multiphase flows of N immiscible incompressible fluids: An
outflow/open boundary condition and algorithm. Journal of Computational
Physics, 366, 3370, 2018. [PDF] [arXiv]

S. Dong. Multiphase flows of N immiscible incompressible fluids: A reductionconsistent
and thermodynamicallyconsistent formulation and associated
algorithm. Journal of Computational Physics, 361, 149, 2018. [PDF] [arXiv]

Y. Wang, Q. Zhang, Z. Zhu, F. Lin, J. Deng, G. Ku, S. Dong, S. Song, M.K. Alam, D. Liu, Z. Wang & J.
Bao. Laser streaming: turning a laser beam into a liquid flow. Science Advances, 3(9),
e1700555, 2017.
[PDF]

S. Dong. Wallbounded multiphase flows of N immiscible incompressible fluids: consistency and
contactangle boundary condition. Journal of Computational Physics, 338, 2167, 2017. [PDF] [arXiv]

Y.T. Delorme, K. Puri, J. Nordstrom, V. Linders, S. Dong & S.H. Frankel. A simple and efficient incompressible
NavierStokes solver for unsteady complex geometry flows on truncated domains.
Computers and Fluids, 150, 8494, 2017. [PDF]

S. Dong & X. Wang. A rotational pressurecorrection scheme for incompressible twophase
flows with open boundaries. PLOS One, 11(5), e0154565, 2016. [PDF] [arXiv]

S. Dong. A convectivelike energystable open boundary condition for simulations of incompressible
flows. Journal of Computational Physics, 302, 300328, 2015. [PDF] [arXiv]

S. Dong & J. Shen. A pressure correction scheme for generalized form of energystable
open boundary conditions for incompressible flows. Journal of
Computational Physics, 291, 254278, 2015. [PDF] [arXiv]

S. Dong. Physical formulation and numerical algorithm for simulating N immiscible
incompressible fluids involving general order parameters. Journal of
Computational Physics, 283, 98128, 2015. [PDF]
[arXiv]

X. Zheng, H. Babaee, S. Dong, C. Chryssostomidis & G.E. Karniadakis. A phasefield
method for 3D simulation of twophase heat transfer. International Journal of Heat
and Mass Transfer, 82, 282298, 2015. [PDF]

S. Dong. An efficient algorithm for incompressible Nphase
flows. Journal of Computational Physics, 276, 691728, 2014.
[PDF]

S. Dong. An outflow boundary condition and algorithm for incompressible twophase flows with
phase field approach.
Journal of Computational Physics, 266, 4773, 2014. [PDF]

S. Dong, G.E. Karniadakis & C. Chryssostomidis. A robust and accurate outflow boundary
condition for incompressible flow simulations on severelytruncated unbounded domains.
Journal of Computational Physics, 261, 83105, 2014. [PDF]

S. Dong. On imposing dynamic contactangle boundary conditions for wallbounded liquidgas flows.
Computer Methods in Applied Mechanics and Engineering, vol 247248, 179200, 2012. [PDF]

S. Dong & J. Shen. A timestepping scheme involving constant coefficient matrices for
phasefield simulations of twophase incompressible flows with large density ratios. Journal of Computational Physics,
231, 57885804, 2012. [PDF]

X. Zheng & S. Dong. An eigenbased highorder expansion basis for
structured spectral elements.
Journal of Computational Physics, 230, 85738602, 2011. [PDF]

S. Dong & X. Zheng. Direct numerical simulation of spiral turbulence.
Journal of Fluid Mechanics, 668, 150173, 2011. [PDF]

S. Dong & J. Shen. An unconditionally stable rotational velocitycorrection scheme
for incompressible flows. Journal of Computational Physics, 229, 70137029, 2010.
[PDF]

S. Dong. BDFlike methods for nonlinear dynamic analysis. Journal of Computational Physics,
229, 30193045, 2010. [PDF]

K. Yeo, S. Dong, E. Climent & M.R. Maxey. Modulation of homogeneous turbulence seeded
with finite size bubbles or particles. International of Journal of Multiphase Flow, 36, 221233, 2010.
[PDF]

S. Dong. Evidence for internal structures of spiral turbulence. Physical Review E, 80, 067301, 2009.
[PDF]

S. Dong & Z. Yosibash. A parallel spectral element method for dynamic
threedimensional nonlinear elasticity problems.
Computers & Structures, 87, 5972, 2009.
[PDF]
 S. Dong.
Turbulent flow between counterrotating concentric cylinders: A DNS study.
Journal of Fluid Mechanics, 615, 371399, 2008.
[PDF]

S. Dong, G.S. Triantafyllou & G.E. Karniadakis. Elimination of vortex streets in bluffbody
flows.
Physical Review Letters,
100, 204501, 2008.
[PDF]
 S. Dong.
Herringbone streaks in TaylorCouette turbulence.
Physical Review E, 77, 035301(R), 2008.
[PDF]

S. Dong. DNS of turbulent TaylorCouette flow.
Journal of Fluid Mechanics, 587, 373393, 2007.
[PDF]

J.M. Dahl, F.S. Hover, M.S. Triantafyllou, S. Dong & G.E. Karniadakis.
Resonant vibrations of bluff bodies cause multivortex shedding
and high frequency forces. Physical Review Letters, 99, 144503, 2007.
[PDF]
 J. Xu, S.
Dong, M.R. Maxey & G.E. Karniadakis. Turbulent drag
reduction by constant nearwall forcing.
Journal of Fluid Mechanics, 582, 79101, 2007.
[PDF]
 B. Boghosian, P. Coveney, S. Dong,
L. Finn, S. Jha, G.E. Karniadakis & N.T. Karonis. NEKTAR, SPICE and Vortonics:
using federated grids for large scale scientific applications.
Cluster Computing, 10, 351364, 2007.
 J.A. Insley, M.E. Papka, S.Dong, G.E. Karniadakis
& N.T. Karonis. Runtime visualization of the human arterial tree. IEEE Transactions
on Visualization and Computer Graphics, 13(4), 810821, 2007.
 S. Dong, G.E.
Karniadakis, A. Ekmekci & D. Rockwell. A combined DNSPIV
study of the turbulent near wake. Journal of Fluid
Mechanics, 569, 185207, 2006.
[PDF]
 S. Dong, J. Insley, N.T. Karonis, M. Papka, J. Binns & G.E. Karniadakis. Simulating and visualizing human
arterial system on the TeraGrid.
Future Generation Computer Systems, The International
Journal of Grid Computing, Theory, Methods and Applications,
22, 10111017, 2006.
 S. Dong, G.E.
Karniadakis & N.T. Karonis. Crosssite computations on the TeraGrid.
Computing in Science & Engineering, 7(5), 1423, 2005.
[PDF]
 S. Dong & G.E.
Karniadakis. DNS of flow past a stationary and oscillating
cylinder at Re=10000, Journal of Fluids and Structures,
20 (4), 519531, 2005.
[PDF]
 D. Xiu, S.J.
Sherwin, S. Dong & G.E. Karniadakis. Strong and Auxiliary forms
of the semiLagrangian method for incompressible
flows. Journal of Scientific Computing, 25 (1), 323346,
2005.
 S. Dong & H.
Meng. Flow past a trapezoidal tab. Journal of Fluid
Mechanics, 510, 219242, 2004.
 S. Dong, D.
Liu, M.R. Maxey & G.E. Karniadakis. Spectral distributed
Lagrange multiplier method: Algorithm and benchmark tests.
Journal of Computational Physics, 195, 695717, 2004.
 S. Dong & G.E.
Karniadakis. Duallevel parallelism for highorder CFD
methods. Parallel Computing, Vol. 30, 120, 2004.
[PDF]
 S. Dong & G.E.
Karniadakis. Multilevel parallelization models in CFD.
Journal of Aerospace Computing, Information, Communication,
1, 256268, 2004.
 S. Dong & G.E.
Karniadakis. Prefinement and Pthreads. Computer Methods
in Applied Mechanics and Engineering, 192 (19),
21912201, 2003.
 J. Xu, S.
Dong, M.R. Maxey & G.E. Karniadakis. Direct numerical
simulation of turbulent channel flow with bubbles.
Contemporary Mathematics, Vol. 329, pp. 347354, 2003.
 S. Dong, H.
Meng & R.O. Fox. Application of fractionalstep scheme and
finite volume method for simulating flow past a
surfacemounted mixing tab. Numerical Heat Transfer A,
41(5), 469490, 2002.
 S. Dong & H.
Meng. Chebyshev spectral method and Chebyshev noise
processing procedure for vorticity calculation in PIV
postprocessing, Experimental Thermal and Fluid Science.
24 (12), 4759, 2001.
 Y.X. Chen &
S. Dong. Chiral ring structure in the N=2 superconformal
field theory based on the coset construction with
SU(1,1)/U(1). Communications in Theoretical Physics,
30(1), 8592, 1998.

Conference Papers

S. Dong. Blended Time Integration Algorithms for Nonlinear Dynamics.
AIAA Paper 20102890.
51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference.
Orlando, FL, Apr. 2010.

S. Dong & X. Zheng. A numerical study of spiral turbulence. AIAA Paper 20101257.
48th AIAA Aerospace Science Meeting. Orlando, FL, Jan. 2010.

S. Dong. Simulation of spiral turbulence. AIAA Paper 20093683. 39th AIAA Fluid Dynamics Conference,
San Antonio, TX, June 2009.

S .Dong. Control of vortex induced vibration of a circular cylinder.
9th International Conference on Flow Induced Vibration
, Prague, Czech Republic, June 2008.

S .Dong & Z. Yosibash. A spectral/hp element method for threedimensional
nonlinear elasticity problems. AIAA Paper 20081921,
49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Schaumburg, IL, Apr. 2008.

S .Dong. Gortler vortices in turbulent TaylorCouette flow. AIAA Paper 20080545,
46th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 2008.

S .Dong & G.E. Karniadakis. Suppressing the fluctuating lift and vortex induced vibration
of a circular cylinder.
5th Conference on Bluff Body Wakes and VortexInduced Vibrations (BBVIV5), Costa do Sauipe, Brazil, Dec.
2007.
 B. Boghosian, P. Coveney, S. Dong, L. Finn, S. Jha, G.E. Karniadakis
& N.T. Karonis. Nektar, SPICE and Vortonics: Using Federated Grids for
Large Scale Scientific Applications. In Workshop on Challenges of Large
Applications in Distributed Environments (CLADE), 15th International Symposium
on High Performance Distributed Computing (HPDC15), Paris, France, June 2006.
 S. Dong, N.T. Karonis & G.E. Karniadakis.
Grid solutions for biological and physical crosssite simulations
on the TeraGrid.
In Proceedings of 20th IEEE International Parallel and Distributed
Processing Symposium (IPDPS'06), Rhodes Island, Greece, April
2006.
 M.R. Maxey, S. Dong, J. Xu & G.E. Karniadakis.
Simulations for microbubble drag reduction at high Reynolds
numbers. In Proceedings of Department of Defense High
Performance Computing UGC 2005, pp.153159, Nashville, TN, June
2005.
 S. Dong & G.E.
Karniadakis. A DNS study of cylinder shear layer
instability. Proceedings of Fourth Conference on Bluff
Body Wakes and Vortex Induced Vibrations (BBVIV4),
pp. 4548, Santorini, Greece, June 2005.
 M.R. Maxey,
D. Liu, S. Dong & G.E. Karniadakis. New advances in
forcecoupling method: from Micro to Macro. IUTAM
Symposium on Computational Approaches to Disperse Multiphase
Flow, Argonne, IL, 2005.
 S. Dong, J.
Xu, M.R. Maxey & G.E. Karniadakis. Microbubble dynamics in
turbulent channel flow. 2nd International Symposium on
Seawater Drag Reduction, Busan, Korea, May 2005.
 J. Xu, S.
Dong, M.R. Maxey & G.E. Karniadakis. Wall slippage effect in
microbubble drag reduction. 2nd International Symposium
on Seawater Drag Reduction, Busan, Korea, May 2005.
 S. Dong, J.
Xu, M.R. Maxey & G.E. Karniadakis. Slippery issues in
microbubble drag reduction. AIAA Paper 2005673. 43rd
Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan.
2005.
 S. Dong & G.E.
Karniadakis. DNS of flow past a stationary and oscillating
rigid cylinder at Re=10,000. In Proceedings of the 8th
International Conference on FlowInduced Vibration (FIV2004)
(Eds: E. de Langre and F. Axisa), Vol. 2, pp. 309314,
Paris, France, July 2004.
 S. Dong, D.
Lucor & G.E. Karniadakis. Flow past a stationary and moving
cylinder: DNS at . In
Proceedings of Department of Defense High Performance
Computing UGC 2004, pp. 7279, published by Institute of
Electrical and Electronics Engineers (IEEE) Inc.
Williamsburg, VA, June 2004.
 S. Dong & G.E.
Karniadakis. Multilevel parallelization models for
highorder CFD. AIAA Paper 20041087, 42nd Aerospace
Sciences Meeting and Exhibitions, Reno, NV, Jan. 2004.

S. Dong, D. Lucor, V. Symeonidis, J. Xu & G.E. Karniadakis.
Multilevel parallelization models: Application to VIV. In
Proceedings of Department of Defense High Performance
Computing UGC 2003, pp149159, published by Institute of
Electrical and Electronics Engineers (IEEE) Inc. Seattle,
WA, June 2003.
 M.R. Maxey,
J. Xu, S. Dong & G.E. Karniadakis. Simulation results for
microbubbles and turbulent drag reduction. Proceedings
of FEDSM’03, Fourth ASME/JSME Joint Fluids Engineering
Conference, Honolulu, Hawaii, 2003.
 M.R. Maxey,
J. Xu, S. Dong & G.E. Karniadakis. Simulations of turbulent
drag reduction using microbubbles. Proceedings of Fourth
Symposium on Smart Control of Turbulence, pp3139,
University of Tokyo, Japan, 2003.
 S. Dong, D.
Liu, M.R. Maxey & G.E. Karniadakis. Fast methods for
colloidal microdevices. AIAA Paper 20030437. 41st
Aerospace Sciences Meeting and Exhibition, Reno, NV,
2003. (Invited).
 S. Dong & G.E.
Karniadakis. Duallevel parallelism for deterministic and
stochastic CFD problems. Proceedings of Supercomputing
2002 (SC02): High Performance Networking and Computing,
Baltimore, MD, 2002.
 J. Xu, S.
Dong, M.R. Maxey & G.E. Karniadakis. Parallel DNS of
multiphase turbulent flow. Proceedings of ICM 2002 – Beijing
Satelite Conference on Scientific Computing, 2002.

Conference Presentations

X. Zheng & S. Dong. An eigenbased highorder expansion basis for spectral elements.
SIAM Conference on Computational Science and Engineering.
Reno, NV, March 2011.

S. Dong. A timestepping scheme for flow simulations that allows the use of
large time step sizes. APS Division of Fluid Dynamics 63nd Annual Meeting.
Long Beach, CA, Nov. 2010.

S. Dong & X. Zheng. Spiral turbulence: A direct numerical simulation study.
APS Division of Fluid Dynamics 62nd Annual Meeting.
Minneapolis, MN, Nov. 2009.

S. Dong. Direct numerical simulation of spiral turbulence.
16th International CouetteTaylor Workshop.
Princeton, NJ, Sept. 2009.

S. Dong. A class of blended time integration algorithms for nonlinear elastodynamics.
10th US National Congress on Computational Mechanics.
Columbus, OH, July 2009.

S. Dong. A family of composite time integration algorithms for nonlinear dynamic analysis.
SIAM Annual Meeting (AN09), Denver, CO, July 2009.

S. Dong. A highorder method for 3D nonlinear elastodynamics.
SIAM Conference on Computational Science and Engineering.
Miami, FL, March 2009.

S. Dong. DNS of Herringbone Streaks in Rotating Turbulence Near Curved Walls.
American Physical Society Division of Fluid Dynamics
61st Annual Meeting.
San Antonio, TX, Nov. 2008.

S. Dong. Suppression of Vortex Induced Vibration of a
Circular Cylinder.
American Physical Society Division of Fluid Dynamics
60th Annual Meeting.
Salt Lake City, UT, Nov. 2007.

S. Dong. Large scale simulations of complex flow phenomena.
American Chemical Society 234th National Meeting & Exposition.
Boston, MA, August 2007.

S. Dong. Simulation of turbulent cylinder flow at high Reynolds numbers.
9th US National Congress on Computational Mechanics (USNCCM9),
San Francisco, CA, July 2007.

S. Dong. A spectral element method for 3D linear and nonlinear
elasticity problems. 7th International Conference on Spectral and
HighOrder Methods (ICOSAHOM), Beijing, China, June 2007.
 L. Grinberg, S. Dong, J. Noble, A. Yokhot,
G.E. Karniadakis & N.T. Karonis.
Human arterial tree simulation on TeraGrid.
Supercomputing Conference 2006 (SC06)  Poster
,
Tampa, FL, November
2006.
 S. Dong, Z. Yosibash,
& G.E.
Karniadakis. A highorder method for flowstructure interactions.
7th World Congress on Computational Mechanics (WCCM),
Los Angeles, CA, July 2006.
 S. Dong, L. Grinberg,
A. Yakhot, S. Sherwin & G.E.
Karniadakis. Simulation of blood flow in human arterial tree on the TeraGrid.
SIAM Conference on Parallel Processing for Scientific Computing,
San Francisco, CA, Feb. 2006.
 S. Dong, L. Grinberg,
A. Yakhot, S. Sherwin & G.E.
Karniadakis. TeraGrid simulations of blood flow in human arterial tree.
58th Annual Meeting of American Physical Society,
Division of Fluid Dynamics, Chicago, IL, Nov. 2005.
 S. Dong & G.E.
Karniadakis. Spectral distributed Lagrange Multiplier
Method. International Conference On Spectral and High
Order Methods (ICOSAHOM), Providence, RI, Jun. 2004.
 S. Dong & G.E.
Karniadakis. Multilevel parallelization models in CFD.
SIAM Conference on Parallel Processing for Scientific
Computing. San Francisco, CA, Jan. 2004.
 S. Dong & G.E.
Karniadakis. DNS of flow past a cylinder at Re=10,000.
56th Annual Meeting of American Physical Society,
Division of Fluid Dynamics, East Rutherford, NJ, Nov. 2003.
 J. Xu, S.
Dong, E. Climent, M.R. Maxey & G.E. Karniadakis. Simulation
result for microbubble drag reduction. 56th Annual
Meeting of American Physical Society, Division of Fluid
Dynamics, East Rutherford, NJ, Nov. 2003.
 M.R. Maxey,
S. Dong, D. Liu & J. Xu. Simulation of particulate flows
with the forcecoupling method. Fourth ASME/JSME Joint
Fluids Engineering Conference, Honolulu, Hawaii, 2003.
 S. Dong, D.
Xiu & G.E. Karniadakis. A parallel semiLagrangian method
for turbulence simulations. SIAM Conference on
Computational Science and Engineering, San Diego, CA,
2003.
 S. Dong, M.R.
Maxey & G.E. Karniadakis. Comparison of FCM, DLM and DNS
schemes in particulate flows. 55th Annual Meeting of
American Physical Society, Division of Fluid Dynamics,
Dallas, TX, 2002.
 M.R. Maxey &
S. Dong. Effect of microbubbles on homogeneous turbulence.
55th Annual Meeting of American Physical Society,
Division of Fluid Dynamics, Dallas, TX, 2002.
 H. Meng, S.
Dong & Y. Pu. Flow past a mixing tab studied by DNS and
Holographic PIV. 54th Annual Meeting of American Physical
Society, Division of Fluid Dynamics. San Diego, CA,
2001.
 S. Dong & H.
Meng. A numerical study of vortex structures in wake of a
surfacemounted HEV static mixer, 1000 Islands Fluid
Dynamics Meeting, Gananoque, Ontario, Canada, 2000.
 S. Dong, R.O.
Fox, & H. Meng. A direct numerical simulation of the flow
past a surfacemounted mixing tab. Annual Meeting of
American Institute of Chemical Engineers, Dallas, TX,
1999.
 S. Dong & H.
Meng. Direct numerical simulation of flow past a
surfacemounted HEV mixer. 52nd Annual Meeting of
American Physical Society, Division of Fluid Dynamics,
New Orleans, LA, 1999.
 S. Dong & H.
Meng. Vorticity calculation with filtered Chebyshev spectral
method in postprocessing of PIV velocity data. 50th
Annual Meeting of American Physical Society, Division of
Fluid Dynamics, San Francisco, CA, 1997.

Publications in Magazines at a Popular Level
 S. Dong, D.
Lucor & G.E. Karniadakis. Multilevel parallel paradigms for
flowinduced vibrations. NAVO Navigator, Fall 2003,
pp. 58.

Home  About Me  Publications  Research  Miscellaneous
