Selected Publications

• Karniadakis G.E., Bullister E.T. and Patera A.T., A spectral element method for solution of two- and three-dimensional time-dependent Navier-Stokes equations, Proc. Europe-U.S. Conf. on Finite Element Methods for Nonlinear Problems, Springer-Verlag, p. 803, 1985.
• Karniadakis G.E., Mikic B.B. and Patera A.T., Transport enhancement by flow destabilization: Reynolds' analogy revisited, J. Fluid Mech., vol. 192, p. 365, 1988.
• Karniadakis G.E., Numerical simulation of forced convection heat transfer from a cylinder in crossflow, Int. J. Heat and Mass Transfer, vol. 31, p. 107, 1988.
• Karniadakis G.E., Spectral element simulations of laminar and turbulent flows in complex geometries, Appl. Num. Math., vol. 6, p. 85, 1989.
• Karniadakis G.E. and Triantafyllou G.S., Frequency selection and asymptotic states in laminar wakes, J. Fluid Mech., vol. 199, p. 447. 1989.
• Karniadakis G.E. and Triantafyllou G.S., The crisis of transport measures in chaotic flow past a cylinder, Phys. Fluids, vol. 4, p. 628, 1989.
• Karniadakis G.E., Spectral element-Fourier methods for incompressible turbulent flows, C.M.A.M.E., vol. 80, p. 362, 1990.
• Karniadakis G.E. and Orszag S.A., Parallel spectral computations of complex engineering flows, chapter 9 in Supercomputing in Engineering Analysis, New Generation Computing, ed. H. Adeli, 1990.
• Kaiktsis L., Karniadakis G.E. and Orszag S.A., Onset of three-dimensionality, equilibria, and early transition in flow over a backward-facing step, J. Fluid Mech., vol. 231, p. 501, 1991.
• Karniadakis G.E., Israeli M. and Orszag S.A., High-order time-accurate splitting methods for incompressible Navier-Stokes equations, J. Comp. Phys., vol. 97, p. 414, 1991.
• Karniadakis G.E. and Triantafyllou G.S., Three-dimensional dynamics and transition in the wake of bluff objects, J. Fluid Mech., vol. 238, p. 1, 1991.
• Sidilkover D.  and   Karniadakis G.E.,  Non-oscillatory spectral element Chebyshev method for shock wave calculations, Proc. 5th Conf. on Domain Decomposition Methods, SIAM, 1991, also in J. Comp. Phys., vol. 107, p. 10, 1993.
• Henderson R.D. and Karniadakis G.E., A hybrid spectral element-finite difference method for parallel computers, in Unstructured Scientific Computation on Scalable Multiprocessors, eds. P. Mehrota, J. Saltz and R. Voigt, MIT Press, p. 221, 1992.
• Giannakouros J. and Karniadakis G.E., Spectral element-FCT method for scalar hyperbolic laws, Int. J. Num. Meth. Fluids, vol. 14, p. 707, 1992.
•  Giannakouros J., Sidilkover  D.  and  Karniadakis G.E., Spectral element-FCT method for the  one- and two-dimensional  Euler equations, C.M.A.M.E., vol. 116, p. 113, 1994; also in ICOSAHOM, p. 113, (eds. C. Bernardi and  Y. Maday), North Holland, 1992.
• Chu D.,   Henderson R.D. and   Karniadakis G.E., Parallel  spectral element-Fourier  simulation of turbulence over riblet-mounted surfaces,  Theor. and Comput. Fluid Dynamics,  vol. 3, p.219, 1992.

 
• Chu D. and Karniadakis G.E., A direct numerical simulation of laminar and turbulent flow over riblet-mounted surfaces, J. Fluid Mech., vol. 250, p. 1, 1993.
• Sherwin S.J.,  Barough E., Karniadakis G.E.  and  Orszag S.A.,  Modeling of multilayer etching processes,  J. of Vacuum Science and Technology, vol. 11, p. 1310, 1993.
• Zagarola M.V.,  Smits A.J. and  Karniadakis G.E.,  Heat transfer enhancement in transitional  channel flow,  J. Wind Engineering and  Industrial Aerodynamics, vol. 49, p. 257, 1993.
• Karniadakis G.E. and Orszag S.A., Nodes, Modes and Flow Codes, Physics Today, p. 34, March 1993.
• Sidilkover D. and Karniadakis G.E., Non-oscillatory spectral element Chebyshev methods for shock wave calculations, J. Comp. Phys., vol. 107, p. 10, 1993.
• Karniadakis, G.E. and Orszag S.A. Some Novel Aspects of Spectral Methods, Algorithmic Trends in Computational Fluid Dynamics, eds. M.Y. Hussaini, A. Kumar, M.D. Salas, p. 245, Springer-Verlag, 1993.
• Karniadakis G.E. and Orszag S.A., Some Novel Aspects of Spectral Methods, Algorithmic Trends in Computational Fluid Dynamics, eds. M.Y. Hussaini, A. Kumar, M.D. Salas, p. 245, Springer-Verlag, 1993.
• Karniadakis G.E., Orszag S.A., Ronquist, E.M. and Patera, A..T., Spectral element and lattice gas methods for incompressible fluid dynamics, Chapter 8 in Incompressible Fluid Dynamics, eds. M.D. Gunzburger and R.A. Nicolaides, Cambridge University Press, 1993.
• Sherwin S.J., Karniadakis G.E. and Orszag S.A., Numerical simulation of the ion etching process, J. Comp. Phys., vol 110, p.373, 1994.
• Beskok A. and Karniadakis G.E., Simulation of heat and momentum transfer in complex  micro-geometries, J. Thermophys. and Heat Transfer,  vol. 8, no. 4, p. 647, 1994.
• Batcho P. F. and  Karniadakis G.E.,  Generalized Stokes eigenfunctions: A new trial basis for the incompressible Navier-Stokes equations, J. Comp. Phys., vol 115, p. 121, 1994.
• Giannakouros J. and Karniadakis G.E., A spectral element-FCT method for the compressible Euler equations, J. Comp. Phys., vol. 115, p. 65,  1994.
• Pathria  D. and Karniadakis  G.E., Spectral element methods for elliptic problems in non-smooth domains, J. Comp. Phys., vol. 122, p. 83, 1995.
• Sherwin S.J. and Karniadakis G.E.,  A triangular spectral element method; Applications to the incompressible Navier-Stokes equations, C.M.A.M.E., vol. 123, p. 189, 1995.
• Sherwin S.J. and  Karniadakis G.E.,  A new triangular and tetrahedral basis for high-order  finite element methods,  Int. J. Num. Meth. Eng., vol. 38, p. 3775, 1995.
• Henderson R.D.  and  Karniadakis G.E., Unstructured spectral element methods for simulation of turbulent flows,  J. Comp. Phys., vol. 122 p. 191, 1995.
• Karniadakis G.E. and  Brown G.L, Vorticity transport in modeling three-dimensional unsteady shear flows,  Phys. Fluids,  vol 7(4), p. 688, 1995.
• Newman D.J. and Karniadakis G.E., Simulations of flow over a flexible cable: A comparison of forced and flow-induced vibrations, J. Fluids and Structures, vol. 10, p. 439, 1996.
• Beskok A., Karniadakis G.E and  Trimmer W.,  Rarefaction and compressibility effects in gas microflows, J. Fluids Engineering, vol. 118, p. 448, 1996.
• Sherwin S.J. and  Karniadakis G.E., Tetrahedral hp finite elements: Algorithms and flow  simulations, J. Comp. Phys., vol. 124, p. 14, 1996.
• Kaiktsis L.,  Karniadakis G.E. and  Orszag S.A., Unsteadiness and convective instabilities in flow over a backward-facing step, J. Fluid Mech., vol. 321, p. 157, 1996.
• Evangelinos C.  and Karniadakis G.E , Parallel CFD Benchmarks on Cray Computers, Parallel Algorithms and Applications, vol. 9, p. 273, 1996, also in Proc. Int. Conf. Parallel Algorithms,  October 1995, Wuhan, China (invited presentation).
• Crawford C.H.,  Evangelinos C.,  Newman D.J. and  Karniadakis G.E., Parallel benchmarks of turbulence in complex geometries, Computers and Fluids, vol. 25, p. 677, 1996,  also in Proc. Parallel CFD'95, June 26-29, 1995, Pasadena, CA.
• Newman D.J.and Karniadakis G.E., Simulations of flow past a freely vibrating cable, J. Fluid Mech., vol. 344, p. 95, 1997.
• Bangia A.K.,  Batcho P.F.,. Kevrekidis  I.G and Karniadakis G.E., Unsteady 2D flows in  complex geometries: Comparative bifurcation studies with global eigenfunction expansions, SIAM J. Sci. Stat. Comp., vol. 18, p. 775, 1997.
• Crawford C.H.  and  Karniadakis G.E., Reynolds stress analysis of EMHD-controlled wall  turbulence, Part I: Streamwise forcing, Phys. Fluids, vol. 9(3), 1997.
• Karniadakis, Towards a Numerical Error Bar in CFD, Editorial Article, J. Fluids Engineering, March 1995.
• Karniadakis, G.E. and Henderson, R.D., Spectral element Methods for Incompressible Flows, Chapter 29 in Handbook of Fluid Dynamics, edited by R.W. Johnson, CRC Press, 1998.
•  Lomtev I.,  Quillen C.B. and  Karniadakis G.E., Spectral/hp methods for viscous compressible flows on unstructured 2D meshes, J. Comp. Phys., vol. 144, pp. 325-357, 1998.
• Sherwin S.J.,  Warburton T.C. and  Karniadakis G.E., Spectral/hp methods for elliptic problems on hybrid grids, Contemporary Mathematics, vol. 218, p. 191-215, 1998.
• Karniadakis, G.E., Simulating turbulence in complex geometries, Fluid Dynamics Research, vol. 24(6), pp. 343-362, 1999
• Evangelinos C. and Karniadakis, G.E., Dynamics and flow structures in the turbulent wake of rigid and flexible cylinders subject to vortex-induced vibrations, J. Fluid Mech., vol. 400, pp. 91-124, 1999.
• Lomtev I., Kirby R.M. and Karniadakis, G.E., A discontinuous Galerkin ALE method for compressible viscous flows in moving domains, J. Comp. Phys., vol. 155, pp. 128-159, 1999.
• Evangelinos C., Lomtev, I. and Karniadakis G.E., Shedding patterns in flow-structure interactions, J. Visualization, vol. 2(2), pp. 135-142, 1999.
• Warburton T.C. and Karniadakis, A discontinuous Galerkin method for the viscous MHD equations, J. Comp. Phys., vol 152, pp. 608-641, 1999.
•  Warburton T.C.,  Lomtev I.,  Du Y,  Sherwin S.J. and Karniadakis G.E. , Galerkin and discontinuous Galerkin spectral/hp methods, Comp. Meth. Appl. Mech. Engr., vol. 175, pp. 343-359, 1999.
•  Beskok A. and  Karniadakis G.E., A model for flows in channels, pipes and ducts at micro-and nano-scales,  J. Microscale Thermophysical Engineering,  vol. 3, pp. 43-77, 1999.
•  Warburton T.C., Sherwin S.J. and Karniadakis G.E., Spectral basis functions for 2D hybrid hp elements, SIAM J. Scientific Computing, vol. 20(5), pp. 1671-1695, 1999.
•  Lomtev I., and  Karniadakis G.E., A discontinuous Galerkin method for the Navier-Stokes equations, Int. J. Num. Meth. Fluids, vol. 29, pp. 587-603, 1999.
• Karniadakis G.E. and Sherwin S.J., Spectral/hp element Methods for CFD, Oxford University Press, March 1999.
• Spectral, Spectral Element and hp Methods for CFD, guest editor of C.M.A.M.E., (co-editors; M. Ainsworth and C. Bernardi), Volume 175.
• Discontinuous Galerkin Methods: Theory, Computation and Applications, (editors: B. Cockburn, G.E. Karniadakis and C.-W. Shu), Springer-Verlag, February 2000.
• Ma X., Karamanos, G.-S., and Karniadakis, G.E., Dynamics and low-dimensionality in turbulent near-wake, J. Fluid Mech., vol. 410. pp.29-65, 2000.
• Evangelinos C., Lucor, D. and Karniadakis G.E., DNS-derived force distribution on flexible cylinders subject to vortex-induced vibration, Journal of Fluids and Structures, vol. 14(3), pp. 429-440, 2000.

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