1. Books

  1. M.O. Deville, P.F. Fischer, and E.H. Mund, High-Order Methods for Incompressible Fluid Flow, Cambridge University Press (2002).

2. Journal articles and book chapters

  1. Fischer, P., Schmitt, M., & Tomboulides, A. (2017). Recent developments in spectral element simulations of moving-domain problems. In Fields Institute Communications (Vol. 79, pp. 213-244). (Fields Institute Communications; Vol. 79). Springer New York LLC.
  2. P. Fischer, K. Heisey, M. Min, Scaling Limits for PDE-Based Simulation, AIAA Aviation Conference, Dallas, 2015.
  3. J. Ohlsson, P. Schlatter, P.F. Fischer, and D.S. Henningson, Direct numerical simulation of separated flow in a three-dimensional diffuser, J. Fluid Mech. 650, pp. 307-318 (2010)
  4. D. Giannakis, R. Rosner, P. Fischer: Instabilities in free-surface Hartmann flow at low magnetic Prandtl numbers, J. Fluid Mech. 636, pp. 217-277 (2009)
  5. Duan, J., P.F. Fischer, T. Iliescu and T. M. Ozgokmen: Bridging the Boussinesq and primitive equations through spatio-temporal filtering. Applied Math. Letters (2009).
  6. D. Giannakis, R. Rosner, P. Fischer: A spectral Galerkin method for the coupled Orr-Sommerfeld and induction equations for free-surface MHD J Comp. Phys. 228, p 1188-1233 (2009)
  7. Ozgokmen, T.M., T. Iliescu, and P.F. Fischer, 2009: Reynolds number dependence of mixing in a lock-exchange system from direct numerical and large eddy simulations. Ocean Modelling, 30, 190-206.
  8. Ilicak, M., T.M. Ozgokmen, E. Özsoy and P.F. Fischer, 2009: Non-hydrostatic modeling of exchange flows across complex geometries. Ocean Modelling, 29, 159-175.
  9. Ozgokmen, T.M., T. Iliescu, and P.F. Fischer, 2009: Large eddy simulation of stratified mixing in a three-dimensional lock-exchange system. Ocean Modelling, 26, 134-155.
  10. Francis Loth, P.F. Fischer, Hisham Bassiouny, "Blood Flow in Vascular End-to-Side Anastomoses," Annu. Rev. Fluid Mech. (2008).
  11. Ozgokmen, T.M. and P.F. Fischer: On the role of bottom roughness in overflows. Ocean Modelling, 20 (2008) 336-361.
  12. P. Fischer, G. Leaf, J. M. Restrepo: Torque Effects on the Lift and Drag of Particles in an Oscillatory Boundary Flow, J. of Fluids Engineering, 130:101303, 2008.
  13. L. Zeng, S. Balachandar, P. Fischer, and F. Najjar, "Interactions of a stationary finite-sized particle with wall turbulence," J. Fluid Mech. 594: 271-305 (2008)
  14. Varghese, S. S., Frankel, S. H. & Fischer, P. F., "Modeling Transition to Turbulence in Eccentric Stenotic Flows," J. Biomech. Eng., 190 014502-1, 2008.
  15. Paul Fischer, James Lottes, David Pointer, and Andrew Siegel Petascale Algorithms for Reactor Hydrodynamics, J. Phys. Conf. Series (2008).
  16. W.D. Pointer, P.F. Fischer, A. Siegel, and J. Smith, "RANS-based CFD Simulations of Wire-Wrapped Fast Reactor Fuel Assemblies" Proc. of the Int. Congress on Advances in Nuclear Power Plants, Anaheim, CA (2008).
  17. P.F. Fischer, J.W. Lottes, A. Siegel, and G. Palmiotti, "Large Eddy Simulation of Wire Wrapped Fuel Pins", Joint Int. Topical Meeting on Math. and Comp. and Supercomputing in Nuclear Applications, Monterey, 2007.
  18. Varghese, S. S., Frankel, S. H. & Fischer, P. F., "Direct numerical simulation of stenotic flows. Part 1. Steady flow" J. Fluid Mech. 582(2007), 253-280.
  19. Varghese, S. S., Frankel, S. H. & Fischer, P. F., "Direct numerical simulation of stenotic flows. Part 2. Pulsatile flow" J. Fluid Mech. 582(2007), 281-318.
  20. P.F. Fischer, Francis Loth, Seung E. Lee, Sang-Wook Lee, David Smith, and Hisham Bassiouny, "Simulation of High Reynolds Number Vascular Flows", CMAME 196 pp. 3049-3060, 2007.
  21. S.W. Lee, D.S. Smith, F. Loth, P.F. Fischer, H.S. Bassiouny, "Importance of flow division on transition to turbulence within an arteriovenous graft," J. Biomech., 40-5, pp. 981-992 (2007).
  22. A. Duggleby, K. S. Ball, M. R. Paul, and P. F. Fischer, 2007. "Dynamical Eigenfunction Decomposition of Turbulent Pipe Flow," Journal of Turbulence, vol. 8, no. 43.
  23. Ozgokmen, T.M., T. Iliescu, P.F. Fischer, A. Srinivasan and J. Duan "Large eddy simulation of stratified mixing in two-dimensional dam-break problem in a rectangular enclosed domain." Ocean Modelling, 16, 106-140 (2007).
  24. Bongolan-Walsh, V.P., J. Duan, P.F. Fischer, T.M. Ozgokmen and T. Iliescu, "Impact of boundary conditions on entrainment and transport in gravity currents." Applied Mathematical Modelling, 31 1338-1350 (2007).
  25. M.R. Paul, M.I. Einarsson, P.F. Fischer, M.C. Cross, "Extensive Chaos in Rayleigh-Benard Convection", Phys. Rev. E 75, 045203(R), 2007.
  26. A. Jayaraman, J. D. Scheel, H. S. Greenside and P. F. Fischer, "Characterization of the domain chaos convection state by the largest Lyapunov exponent," Physical Review E, vol. 74:016209 (2006).
  27. M.S. Min, T.W. Lee, P.F. Fischer, and S.K. Gray. "Fourier spectral simulations of Gegenbauer reconstructions for electromagnetic waves in the presence of a metal nanoparticle." J. Comput. Phys., 213:730-47, 2006.
  28. D. Rosenberg, A. Fournier, P. Fischer, A. Pouquet, "Geophysical-astrophysical spectral element adaptive refinement (GASpAR): Object-oriented h-adaptive code for geophysical fluid dynamics simulation,", J. Comp. Phys. 215(1) p.59-80, (2006).
  29. T.M. Ozgokmen, P.F. Fischer, and W.E. Johns "Product water mass formation by turbulent density currents from a high-order nonhydrostatic spectral element model," Ocean Modelling 12:237-267, 2006.
  30. P. Fischer, F. Loth, S.-W. Lee, D. Smith, H. Tufo, and H. Bassiouny, "Parallel Simulation of High Reynolds Number Vascular Flows", Proc. of Parallel CFD, 2005.
  31. P.F. Fischer "Anisotropic Diffusion in a Toroidal Geometry,", J. Phys. Conf. Series 16 p. 446-455 (2005).
  32. J.W. Lottes and P.F. Fischer "Hybrid Multigrid/Schwarz Algorithms for the Spectral Element Method,", J. Sci. Comp. 24, (2005).
  33. S.-W. Lee, P.F. Fischer, F. Loth, T.J. Royston, J.K. Grogan, and H.S. Bassiouny, "Flow-induced vein-wall vibration in an arteriovenous graft," J. Fluids and Structures 20 p. 837--852 (2005).
  34. P.F. Fischer, G.K. Leaf, and J.M. Restrepo, "Influence of Wall Proximity on the Lift and Drag of a Particle in an Oscillatory Flow," J. of Fluids Eng. 127 pp. 583-594 (2005).
  35. L. Zeng, S. Balachandar, and P. Fischer, "Wall-induced forces on a rigid sphere at finite Reynolds number" J. Fluid Mech.. 536 pp. 1--25 (2005).
  36. Chang, Y.S., X. Xu, T.M. Ozgokmen, E.P. Chassignet, H. Peters and P.F. Fischer, "Comparison of gravity current mixing parameterizations and calibration using a high-resolution 3D nonhydrostatic spectral element model." Ocean Modelling 10 342-368 (2005).
  37. V.P. Bongolan-Walsh, J. Duan, H. Go, A., T.M. Özgökmen, P.F. Fischer, and T. Iliescu, "Enstrophy and ergodicity of gravity currents," IMA Volumes in Mathematics and its Applications, Vol. 140 - Probability and Partial Differential Equations in Modern Applied Mathematics , J. Duan and E.C. Waymire, Eds. Springer-Verlag, New York, pp. 61-74, in press (2005)
  38. K.-H. Chiam, M. C. Cross, H. S. Greenside, and P. F. Fischer "Enhanced tracer transport by the spiral defect chaos state of a convecting fluid," Phys. Rev. E. 71, 036205, (2005).<\a>
  39. C. Frouzakis, A. Tomboulides, P. Papas, P. Fischer, R. Rais, K. Boulouchos, and P. Monkewitz, "Three-Dimensional Numerical Simulations of Cellular Jet Diffusion Flames," Proc. Comb. Inst., Volume 30, 185-192, Part 1 (2004).

  40. Tamay Ozgokmen, Paul Fischer, Jinqiao Duan, and Traian Iliescu, "Entrainment in bottom gravity currents over complex topography from three-dimensional nonhydrostatic simulations," Geophys. Res. Letters , 31 L13212, doi:10.1029/2004GL020186 (2004)
  41. Tamay Ozgokmen, Paul Fischer, Jinqiao Duan, and Traian Iliescu, "Three-Dimensional Turbulent Bottom Density Currents from a High-Order Nonhydrostatic Spectral Element Model" J. Phys. Ocean. 34 9 p. 2006-36 (2004)
  42. S. J. Thomas, J. M. Dennis, H. M. Tufo, and P. F. Fischer, ``A Schwarz Preconditioner for the Cubed-Sphere," SIAM J. Sci. Comp., Vol. 25, No. 2, pp 442-453 (2003).
  43. F. X. Giraldo, J. B. Perot and P. F. Fischer, ``A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations,'' J. of Comp. Phys., 190 2, pp. 623-650 (2003).
  44. J. D. Scheel, M. R. Paul, M. C. Cross, and P. F. Fischer ``Traveling waves in rotating Rayleigh-Bénard Convection: Analysis of modes and mean flow,'' Phys. Rev. E Phys. Rev. E 66:066216 (2003).
  45. T. Iliescu and P.F. Fischer ``Backscatter in the Rational LES Model," Computers and Fluids 33 (2004).
  46. F. Loth, P. F. Fischer, N. Arslan, C. D. Bertram, S. E. Lee, T. J. Royston, R. H. Song, W. E. Shaalan, and H. S. Bassiouny, ``Transitional Flow at the Venous Anastomosis of an Arteriovenous Graft: Potential Relationship with Activation of the ERK1/2 Mechanotransduction Pathway," J. Biomechanical Eng. 125 pp. 49-61, (2003).
  47. T. Iliescu and P.F. Fischer ``Large Eddy Simulation of Turbulent Channel Flows by the Rational LES Model," Phys. of Fluids 15 10, pp. 3036-3047 (2003).
  48. M. R. Paul, K.-H. Chiam, M. C. Cross, P. F. Fischer, and H. S. Greenside, Pattern Formation and Dynamics in Rayleigh-Benard Convection: Numerical Simulations of Experimentally Realistic Geometries, Physica D 184:114-126 (2003).
  49. M. R. Paul, M. C. Cross, and P. F. Fischer, Rayleigh-Benard Convection with a Radial Ramp in Plate Separation, Phys. Rev. E 66 046210 (2002)
  50. P.F. Fischer, G.K. Leaf, and J.M. Restrepo, "Forces on particles in oscillatory boundary layers." J. of Fluid Mech. 468 pp. 327-347 (2002).
  51. M. Greiner, P.F. Fischer, and H.M. Tufo, "Numerical Simulations of Resonant Heat Transfer Augmentation at Low Reynolds Numbers", J. Heat Transfer. 124 (December, 2002)
  52. P.F. Fischer, G.W. Kruse, and F. Loth "Spectral element methods for transitional flows in complex geometries," J. of Sci. Comput. 17 1, pp. 81-98 (2002)
  53. M. Greiner, P.F. Fischer, and H.M. Tufo, "Two Dimensional Simulations of Enhanced Heat Transfer in an Intermittently Grooved Channel", J. Heat Transfer. 124 3, pp. 538-545 (2002)
  54. M. Greiner, P.F. Fischer, H.M. Tufo, and R.A. Wirtz, "Three Dimensional Simulations of Enhanced Heat Transfer in a Flat Passage Downstream from a Grooved Channel", J. Heat Transfer. 124 1, pp. 169-176 (2002)
  55. M.R. Paul, M.C. Cross, P.F. Fischer, and H.S. Greenside, "Power-Law Behavior of Power Spectra in Low Prandtl Number Rayleigh-Bénard Convection", Phys. Rev. Lett. 87 154501-1 (2001).
  56. P.F. Fischer and J.S. Mullen, "Filter-Based Stabilization of Spectral Element Methods" Comptes Rendus de l'Académie des sciences Paris, t. 332, Série I - Analyse numérique, p. 265-270 (2001).
  57. P. F. Fischer and S. Gottlieb, "Solving A x= b using a Modified Conjugate Gradient Method Based on the Roots of A" J. of Sci. Comput. 15 4, pp. 441-456 (2001)
  58. H.M. Tufo and P.F. Fischer, "Fast Parallel Direct Solvers For Coarse Grid Problems," J. Par. & Dist. Comput., 61 p. 151-177 (2001).
  59. P.F. Fischer, F.P.Preparata, and J.E. Savage, "Generalized Scans and Tri-Diagonal Systems" Theoretical Computer Science A 255, p. 423-436 (2001).
  60. M. Greiner, R.J. Faulkner, V.T. Van, H.M. Tufo, and P.F. Fischer, "Simulations of three-dimensional flow and augmented heat transfer in a symmetrically grooved channel," J. Heat Transfer. 122, pp. 653-660 (2000).
  61. J.S. Mullen and P.F. Fischer, "Filtering techniques for complex geometry fluid flows" Comm. in Num. Meth. in Eng. 15 pp. 9-18 (1999).
  62. M. Greiner, G. Spencer, and P. Fischer, "Direct numerical simulation of three-dimensional flow and augmented heat transfer in a grooved channel" ASME J. of Heat Transfer 120 3 pp. 717-723 (1998).
  63. S. Gottlieb and P. Fischer, "A modified conjugate gradient method for the solution of A x= b based upon b and sqrt(A)b." J. of Sci. Comput. 13 2 (1998) pp. 173-183.
  64. Fischer, P.F., "Projection techniques for iterative solution of Ax=b with successive right-hand sides." Comp. Meth. in Appl. Mech 163 (1998).
  65. P. Fischer, "An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations," J. of Comp. Phys. 133 84-101 (1997).
  66. D. Gottlieb and P. Fischer, "On the optimal number of subdomains for hyperbolic problems on parallel computers," Int. J. of Supercomp. Appl. and High Perf. Comp. 11 65-76 (1997).
  67. Fischer, P.F. and Patera, A.T., "Parallel Simulation of Viscous Incompressible Flows" Ann. Rev. Fluid Mech., Vol 26, (1994) p.483-528.
  68. Fischer, P.F., "Parallel domain decomposition for incompressible fluid dynamics" Contemporary Mathematics 157 AMS (1994) p.313-322
  69. Fischer, P.F. and Rønquist, E.M., "Spectral Element Methods for Large Scale Parallel Navier-Stokes Calculations" Comp. Meth. Appl. Mech. Engr. 116 69-76 (1994).
  70. M.F. Schatz , R.P. Tagg, H.L. Swinney, P.F. Fischer, and A.T. Patera, Supercritical transition in plane channel flow with spatially periodic perturbations, Phys. Rev. Letters (1991) p.1579-82.
  71. G. Anagnostou, P. Fischer, Y. Maday, E. Rønquist, and Patera, A.T.: Numerical simulation of incompressible fluid flows. Concurrency: Practice and Experience 3(6) pp. 667-685, (1991).
  72. Fischer, P.F. and Patera, A.T., Parallel Spectral Element Solution of the Stokes Problem, J. Comput. Phys., 92, (1991) p.380-421.
  73. Fischer, P.F., "Analysis and Application of a Parallel Spectral Element Method for the Solution of the Navier-Stokes Equations", Comp. Meth. Appl. Mech. Engr. 80 (1990) p.483-491.
  74. Fischer, P.F., Rønquist, E.M. and Patera, A.T.: Parallel Spectral Element Methods for Viscous Flow in Parallel Supercomputing: Methods, Algorithms and Applications (ed. G. Carey), Wiley, NY, pp. 223-238, (1989).
  75. Fischer, P.F., Ho, L.W., Karniadakis, G.E., Rønquist,E.M. and Patera, A.T.: Recent Advances in Parallel Spectral Element Simulation of Unsteady Incompressible Flows. Computers and Structures, Vol. 30, No 1/2, pp. 217-231, (1988).

3. Publications in published refereed proceedings

  1. C.S. Verma, P.F. Fischer, S.E. Lee, and F. Loth, "An All-Hex Meshing Strategy for Bifurcation Geometries in Vascular Flow Simulation," Proc. of the 14th Int. Meshing Roundtable, San Diego, 2005.
  2. P. F. Fischer and C. P. Tzanos, "Filtered Simulations of Turbulence in a Reactor Rod Bundle Flow," Am. Nuc. Soc. Mtg., San Diego, June 2005. (ANL/MCS-P1213-0105)
  3. P.F. Fischer and J.W. Lottes, "Hybrid Schwarz-Multigrid Methods for the Spectral Element Method: Extensions to Navier-Stokes,", Proc. of the 15th Int. Conf. on Domain Decomposition Methods, Berlin, 2003.
  4. Paul Fischer, Frederic Hecht, and Yvon Maday, "A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations," Proc. of the 15th Int. Conf. on Domain Decomposition Methods, Berlin, 2003.
  5. I. Lee, P. Raghavan, S. Schofield, and P. Fischer, "An O(n log n) Solution Algorithm for Spectral Element Methods" 2nd MIT Conference on Structural and Fluid Mechanics, Cambridge, MA, June 2003.
  6. M. Greiner, P.F. Fischer, and H.M. Tufo, "Numerical Simulations of Resonant Heat Transfer Augmentation at Low Reynolds Numbers," ASME Int. Mech. Eng. Congress, November, 2001, New York.
  7. P.F. Fischer and H.M. Tufo, "High-performance Spectral Element Algorithms and Implementations" in Parallel Computational Fluid Dynamics: towards Teraflops, Optimization and Novel Formulations, D. Keyes, A. Ecer, N. Satofuka, P. Fox, and J. Periaux, eds. North-Holland, p. 17-26 (2000).
  8. P.F. Fischer, N.I. Miller and H.M. Tufo, "An overlapping Schwarz method for spectral element simulation of three-dimensional incompressible flows" in Parallel Solution of Partial Differential Equations, (P. Bjorstad and M. Luskin, eds., Springer-Verlag, pp.159-180 (2000). (Also ANL Tech. Rep. TR-730.)
  9. H. M. Tufo and P. F. Fischer, "Terascale Spectral Element Algorithms and Implementations" Gordon Bell Prize paper, Proc. of the ACM/IEEE SC99 Conf. on High Performance Networking and Computing. IEEE Computer Soc., CDROM (1999).
  10. H. M. Tufo, P. F. Fischer, M. E. Papka, and K. Blom, "Numerical Simulation and Immersive Visualization of Hairpin Vortices", in Proc. of the ACM/IEEE SC99 Conf. on High Performance Networking and Computing. IEEE Computer Soc., CDROM (1999).
  11. R. Faulkner M. Greiner, P. Fischer, and R. Wirtz, "Direct numerical simulation of three-dimensional flow and heat transfer in a symmetrically grooved channel with constant temperature Boundary conditions." presented at 1997 ASME Int. Mech. Eng. Congress and Exp., Dallas, TX.
  12. P.F. Fischer, "Parallel multi-level solvers for spectral element methods" in Proceedings of Intl. Conf. on Spectral and High-Order Methods '95, Houston, TX, R. Scott, Ed. Houston J. of Math., p. 595-604. (1996)
  13. P.F. Fischer and M. Venugopal, "A commercial CFD application on a shared memory multiprocessor using MPI" in Parallel Computation Fluid Dynamics: Implementations and Results Using Parallel Computers, A.Ecer, J. Periaux, N. Satofuka, and S. Taylor, eds. Elsevier Sci. B.V. p. 231-238 (1995).
  14. Fischer, P.F. and Patera, A.T.: Parallel Spectral Element Solutions of Eddy-Promoter Channel Flow in Proceedings of the European Research Community On Flow Turbulence and Combustion Workshop, Lausanne Switzerland, Cambridge University Press (1992) pp.246-256.
  15. Fischer, P.F. and Patera, A.T.: Parallel Spectral Element Methods for the Incompressible Navier-Stokes Equations. in Solution of Super Large Problems in Computational Mechanics (ed. J.H. Kane and A.D. Carlson), Plenum (1989) p.49-66.
  16. Fischer, P.F., Rønquist, E.M., Dewey, D. and Patera, A.T.: Spectral Element Methods: Algorithms and Architectures. in Proceedings of the First International Symposium on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, pp. 173-197, (1988).

4. Other publications

  1. P.F. Fischer and T. Iliescu "A 3D Channel Flow Simulation at Re-tau=180 Using a Rational LES Model," presented at 3rd AFOSR International Conference on Direct Numerical Simulation and Large Eddy Simulation TAICDL, University of Texas at Arlington, Arlington, Texas, USA, August 5-9, 2001.
  2. Lee, S.E., Piersol, N., Loth, F., Fischer, P., Leaf, G., Smith, B., Yedevalli, R., Yardimci, A., Alperin, N. and Schwartz, L., "Automated Mesh Generation of an Arterial Bifurcation Based upon in vivo MR Images", in Proceedings of the 2000 World Congress on Medical Physics and Bioengineering, CD ROM.
  3. Fischer, P.F., "Spectral Element Solutions for the Navier-Stokes Equations on High-Performance Distributed Memory Parallel Processors," in Parallel and Vector Computation in Heat Transfer, John Georgiadis, Ed., 5th AIAA/ASME Thermophysics and Heat Transfer Conference Seattle, WA 1990.

Paul Fischer 2010