@InProceedings{nishikawa_hyperbolic_ns:AIAA2011,
author = {Hiroaki Nishikawa},
title = {New-Generation Hyperbolic Navier-Stokes Schemes: O(1/h) Speed-Up and Accurate Viscous/Heat Fluxes},
booktitle = {20th {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2011-3043},
address = {Hawaii},
year = 2011
}
@InProceedings{nishikawa_traditional_ns:AIAA2011,
author = {Hiroaki Nishikawa},
title = {Two Ways to Extend Diffusion Schemes to Navier-Stokes Schemes: Gradient Formula or Upwind Flux},
booktitle = {20th {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2011-3044},
address = {Hawaii},
year = 2011
}
@InProceedings{nishikawa_diskin:AIAA2011,
author = {Hiroaki Nishikawa and Boris Diskin},
title = {Development and Application of Parallel Agglomerated Multigrid Methods for Complex Geometries},
booktitle = {20th {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2011-3232},
address = {Hawaii},
year = 2011
}
@Article{nishikawa_general_principle:CF2011,
author = {H. Nishikawa},
title = {Robust and Accurate Viscous Discretization via Upwind Scheme - I:
Basic Principle},
journal = {Computers and Fluids},
year = 2011,
volume = 49,
number = 1,
month = October,
pages = {62-86}
}
@InProceedings{nishikawa_general_principle:AIAA2010,
author = {Hiroaki Nishikawa},
title = {Beyond Interface Gradient: A General Principle for
Constructing Diffusion Schemes},
booktitle = {40th {AIAA} Fluid Dynamics Conference and Exhibit},
series = {{AIAA} Paper 2010-5093},
address = {Chicago},
year = 2010
}
@InProceedings{nishikawa_general_principle:AIAA2009,
author = {Hiroaki Nishikawa and Boris Diskin and J. L. Thomas},
title = {Development and Application of Agglomerated Multigrid
Methods for Complex Geometries},
booktitle = {40th {AIAA} Fluid Dynamics Conference and Exhibit},
series = {{AIAA} Paper 2010-4731},
address = {Chicago},
year = 2010
}
@Article{thomas_diskin_nishikawa:CandF2010,
author = {J. L. Thomas and B. Diskin and H. Nishikawa},
title = {A Critical Study Agglomerated Multigrid Methods for Diffusion
on Highly-Stretched Grids},
journal = {Computers and Fluids}
year = 2010,
volume = 40,
number = 1,
month = February,
pages = {82-93}
}
@Article{nishikawa_diffusion_II_JCP2010,
author = {H. Nishikawa},
title = {A First-Order System Approach for Diffusion Equation. {II}:
{U}nification of Advection and Diffusion},
journal = {Journal of Computational Physics},
year = 2010,
volume = 229,
pages = {3989-4016}
}
@Article{nishikawa_diskin_thomas:AIAAJ2010,
author = {H. Nishikawa and B. Diskin and J. L. Thomas},
title = {Critical Study Agglomerated Multigrid Methods for Diffusion},
journal = {AIAA Journal},
year = 2010,
volume = 48,
number = 4,
month = April,
pages = {839-847}
}
@InProceedings{nishikawa_future_NS:AIAA2009,
author = {Hiroaki Nishikawa},
title = {Towards Future {N}avier-{S}tokes Schemes: Uniform Accuracy, {$O(h)$} time step, and Accurate Viscous/Heat Fluxes},
booktitle = {19th {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2009-3648},
address = {San Antonio},
year = 2009
}
@InProceedings{nishikawa_diskin_thomas:AIAA2009,
author = {H. Nishikawa and B. Diskin and J. L. Thomas},
title = {A Critical Study Agglomerated Multigrid Methods for Diffusion},
booktitle = {19th {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2009-4138},
address = {San Antonio},
year = 2009
}
@Article{nishikawa_diskin_thomas:AIAAJ2010,
author = {B. Diskin and J. L. Thomas and E. J. Nielsen and H. Nishikawa and J. A. White},
title = {Comparison of Node-Centered and Cell-Centered Unstructured
Finite-Volume Discretizations: Viscous Fluxes},
journal = {AIAA Journal},
year = 2010,
volume = 48,
number = 7,
month = July,
pages = {1326-1338}
}
@InProceedings{nn_cc_comparison_viscous:AIAA2009,
author = {B. Diskin and J. L. Thomas and E. J. Nielsen and H. Nishikawa and J. A. White},
title = {Comparison of Node-Centered and Cell-Centered Unstructured
Finite-Volume Discretizations. {P}art {I}: Viscous Fluxes},
booktitle = {47th {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2009-597},
address = {Orlando},
month = January,
year = 2009
}
@Article{nishikawa_adaptive_quadrature:IJNMF,
author = {Hiroaki Nishikawa},
title = {Adaptive Quadrature Fluctuation-Splitting Schemes for the {E}uler Equations},
journal = {International Journal for Numerical Methods in Fluids},
year = 2008,
volume = 57,
pages = {1-12}
}
@Article{nishikawa_kitamura_JCP2007,
author = {H. Nishikawa and K. Kitamura},
title = {Very Simple, Carbuncle-Free, Boundary-Layer Resolving, Rotated-Hybrid {R}iemann Solvers},
journal = {Journal of Computational Physics},
year = 2007,
volume = 227,
pages = {2560-2581}
}
@Article{nishikawa_diffusion_I_JCP2007,
author = {H. Nishikawa},
title = {A First-Order System Approach for Diffusion Equation. {I}: {S}econd-Order Residual-Distribution Schemes},
journal = {Journal of Computational Physics},
year = 2007,
volume = 227,
pages = {315-352}
}
@Article{nishikawa_multigrid_cr:IJNMF,
author = {H. Nishikawa},
title = {Multigrid Third-Order Least-Squares Solution of {C}auchy-{R}iemann Equations on Unstructured Triangular Grids},
journal = {International Journal for Numerical Methods in Fluids},
year = 2007,
volume = 53,
pages = {443-454}
}
@InProceedings{nishikawa_roe:ICCFD_2006,
author = {H. Nishikawa and P. L. Roe},
title = {High-Order Fluctuation-Splitting Schemes for Advection-Diffusion Equations},
booktitle = {Computational Fluid Dynamics 2006: Proceedings of the Fourth International Conference on Computational Fluid Dynamics, Ghent, Belgium, 10-14 July 2006},
publisher = {Springer},
editor = {H. Deconinck and E. Dick},
pages = {77-82},
year = 2006
}
@InProceedings{ismail_roe_nishikawa:ICCFD_2006,
author = {F. Ismail and P. L. Roe and H. Nishikawa},
title = {A Proposed Cure to the Carbuncle Phenomenon},
booktitle = {Computational Fluid Dynamics 2006: Proceedings of the Fourth International Conference on Computational Fluid Dynamics, Ghent, Belgium, 10-14 July 2006},
publisher = {Springer},
editor = {H. Deconinck and E. Dick},
pages = {149-154},
year = 2006
}
@InCollection{nishikawa:VKI_LS_2005,
author = {Hiroaki Nishikawa},
title = {Higher-Order Discretization of Diffusion Terms in Residual-Distribution Methods},
booktitle = {34th {VKI} {CFD} Lecture Series Very-High Order Discretization Methods},
publisher = {VKI Lecture Series},
year = 2005
}
@InProceedings{nishikawa_roe_p2_LDA:AIAA2005,
author = {H. Nishikawa and P. L. Roe},
title = {Towards High-Order Fluctuation-Splitting Schemes for {N}avier-{S}tokes Equations},
booktitle = {17th {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2005-5244},
address = {Toronto},
year = 2005
}
@InProceedings{roe_nishikawa_students_carbuncle:AIAA2005,
author = {P. Roe and H. Nishikawa and F. Ismail and L. Scalabrin},
title = {On Carbuncles and Other Excrescences},
booktitle = {17th {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2005-4872},
address = {Toronto},
year = 2005
}
@InProceedings{nishikawa_roe:ICCFD_2004,
author = {H. Nishikawa and P. L. Roe},
title = {On High-Order Fluctuation-Splitting Schemes for {N}avier-{S}tokes Equations},
booktitle = {Computational Fluid Dynamics 2004: proceedings of the Third International Conference on Computational Fluid Dynamics, ICCFD3, Toronto, 12-16 July 2004},
publisher = {Springer-Verlag},
editor = {C. Groth and D. W. Zingg},
pages = {799-804},
year = 2004
}
@Book{idolikecfdvol1_1st,
author = {Katate Masatsuka},
title = {I Do Like {CFD}, {V}ol. 1},
year = 2009
}
@Article{nishikawa_van_leer_JCP_2003,
author = {H. Nishikawa and B. {van Leer}},
title = {Optimal Multigrid Convergence by Elliptic/Hyperbolic Splitting},
journal = {Journal of Computational Physics},
year = 2003,
volume = 190,
pages = {52-63}
}
@InProceedings{theory_local_preconditioning_MHD:AIAA2003,
author = {H. Nishikawa and P. Roe and Y. Suzuki and B. van Leer},
title = {A General Theory of Local Preconditioning and Its Application to the {2D} Ideal {MHD} Equations},
booktitle = {16th {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2003-3704},
address = {Orlando},
month = June,
year = 2003
}
@InProceedings{roe_kabin_nishikawa:AIAA2002,
author = {P. L. Roe and K. Kabin and H. Nishikawa},
title = {Toward A General Theory of Local Preconditioning},
booktitle = {32nd {AIAA} Fluid Dynamics Conference},
series = {{AIAA} Paper 2002-2956},
address = {St. Louis},
month = June,
year = 2002
}
@Article{roe_nishikawa:IJNMF2002,
author = {P. L. Roe and H. Nishikawa},
title = {Adaptive Grid Generation by Minimising Residuals},
journal = {International Journal for Numerical Methods in Fluids},
year = 2002,
volume = 40,
pages = {121-136}
}
@InProceedings{nishikawa_rad_roe:AIAA2001,
author = {H. Nishikawa and M. Rad and P. Roe},
title = {A Third-Order Fluctuation-Splitting Scheme That Preserves Potential Flow},
booktitle = {15th {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 01-2595},
address = {Anaheim},
month = June,
year = 2001
}
@PhdThesis{nishikawa:phd,
author = {H. Nishikawa},
title = {On Grids and Solutions from Residual Minimization},
school = {Department of Aerospace Engineering, University of Michigan},
month = August,
year = 2001,
address = {Ann Arbor, Michigan}
}
@InProceedings{nishikawa_rad_roe:ICCFD2000,
author = {H. Nishikawa and M. Rad and P. L. Roe},
title = {Grids and Solutions from Residual Minimisation},
booktitle = {Computational Fluid Dynamics 2000: Proceedings of the First International Conference on Computational Fluid Dynamics, Kyoto, Japan, 10-14 July 2000},
editor = {N. Satofuka},
publisher = {Springer-Verlag},
pages = {119-124},
year = 2001
}
@InProceedings{rad_nishikawa_roe:ICCFD2000,
author = {M. Rad and H. Nishikawa and P. L. Roe},
title = {Some Properties of Residual Distribution Schemes for the {E}uler Equations},
booktitle = {Computational Fluid Dynamics 2000: Proceedings of the First International Conference on Computational Fluid Dynamics, Kyoto, Japan, 10-14 July 2000},
editor = {N. Satofuka},
publisher = {Springer-Verlag},
pages = {379-384},
year = 2001
}
@Article{nishikawa1998,
author = {Hiroaki Nishikawa},
title = {Second-Order L2 Error Estimates for Piecewise Linear Approximation in One Dimension},
journal = {Unpublished},
year = 1998
}