@Article{luo_etal_hyprdg_advdiff:jcp2018,
author = {Jialin Lou and Lingquan Li and Hong Luo and Hiroaki Nishikawa},
title = {Reconstructed discontinuous {G}alerkin methods for linear advection-diffusion equations based on first-order hyperbolic system},
journal = JCP,
year = 2018,
volume = 369,
pages = {103-124}
}
@Article{nishikawa_diff_discon:jcp2018,
author = {H. Nishikawa},
title = {On Hyperbolic Method for Diffusion with Discontinuous Coefficients},
journal = JCP,
volume = {367},
pages = {102-108},
year = {2018}
}
@InProceedings{vulcan_jannaf_domain_decomp_paper_jannaf2017,
author = {Jeffery {A}. White and Robert {A}. Baurle and Bradley {J}. Passe and Seth {C}. Spiegel and Hiroaki Nishikawa},
title = {Geometrically Flexible and Efficient Flow Analysis of High Speed Vehicles Via Domain Decomposition, Part 1, Unstructured-grid Solver for High Speed Flows},
booktitle = {{JANNAF} 48th Combustion 36th Airbreathing Propulsion 36th Exhaust Plume and Signatures 30th Propulsion Systems Hazards Joint Subcommittee Meeting Programmatic and Industrial Base Meeting},
address = {Newport News, VA},
year = {2017}
}
@InProceedings{diskin_etal_aiaa2018-1101,
author = {Boris Diskin and Hiroaki Nishikawa},
title = {Customized Grid Generation Codes for Benchmark Three-Dimensional Flows},
booktitle = {56th {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2018-1101},
address = {Kissimmee, Florida },
year = {2018}
}
@InProceedings{diskin_etal_aiaa2018-1102,
author = {Boris Diskin and William {K}. Anderson and Mohagna {J}. Pandya and Christopher {L}. Rumsey and
James {L}. Thomas and Yi Liu and Hiroaki Nishikawa},
title = {Grid Convergence for Three Dimensional Benchmark Turbulent Flows},
booktitle = {56th {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2018-1102},
address = {Kissimmee, Florida },
year = {2018}
}
@InProceedings{LouLiLuoNishikawa_aiaa2018-2094,
author = {Jialin Lou and Lingquan Li and Hong Luo and Hiroaki Nishikawa},
title = {First-Order Hyperbolic System Based Reconstructed Discontinuous {G}alerkin Methods for Nonlinear Diffusion Equations on Unstructured Grids},
booktitle = {56th {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2018-2094},
address = {Kissimmee, Florida },
year = {2018}
}
@InProceedings{LiLiuLouLuoNishikawaRen_aiaa2018-0831,
author = {Lingquan Li and Xiaodong Liu and Jialin Lou and Hong Luo and Hiroaki Nishikawa and Yuxin Ren},
title = {A Discontinuous Galerkin Method Based on Variational Reconstruction for Compressible Flows on Arbitrary Grids},
booktitle = {56th {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2018-0831},
address = {Kissimmee, Florida },
year = {2018}
}
@Article{nishikawa_nakashima_jcp2018,
author = {H. Nishikawa and Y. Nakashima},
title = {Dimensional Scaling and Numerical Similarity in Hyperbolic Method for Diffusion},
journal = JCP,
year = 2018,
volume = {355},
month = January,
pages = {121-143}
}
@Article{nishikawa_liu_jcp2018,
author = {H. Nishikawa and Y. Liu},
title = {Hyperbolic Advection-Diffusion Schemes for High-Reynolds-Number Boundary-Layer Problems},
journal = JCP,
year = 2018,
volume = {352},
month = January,
pages = {23-51}
}
@Article{nishikawa_nakashima_watanabe_jcp2017,
author = {H. Nishikawa and Y. Nakashima and N. Watanabe},
title = {Effects of High-Frequency Damping on Iterative Convergence of Implicit Viscous Solver},
journal = JCP,
year = 2017,
volume = {348},
month = November,
pages = {66-81}
}
@InProceedings{nishikawa_aiaa2017-4295,
author = {Hiroaki Nishikawa},
title = {Uses of Zero and Negative Volume Elements for Node-Centered Edge-Based Discretization},
booktitle = {23rd {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2017-4295},
address = {Denver, Colorado},
year = {2017}
}
@InProceedings{LiuNishikawa_2017-3097,
author = {Lingquan Li and Xiaodong Liu and Jialin Lou and Hong Luo and Hiroaki Nishikawa and Yuxin Ren},
title = {A Finite Volume Method Based on Variational Reconstruction for Compressible Flows on Arbitrary Grids},
booktitle = {23rd {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2017-3097},
address = {Denver, Colorado},
year = {2017}
}
@InProceedings{aiaa2017-3445,
author = {Jialin Lou and Lingquan Li and Xiaodong Liu and Hong Luo and Hiroaki Nishikawa},
title = {Reconstructed Discontinuous Galerkin Methods Based on First-Order Hyperbolic System for Advection-Diffusion Equations},
booktitle = {23rd {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2017-3445},
address = {Denver, Colorado},
year = {2017}
}
@InProceedings{LiuNishikawa_2017-3443,
author = {Yi Liu and Hiroaki Nishikawa},
title = {Third-Order Edge-Based Hyperbolic Navier-Stokes Scheme for Three-Dimensional Viscous Flows},
booktitle = {23rd {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2017-3443},
address = {Denver, Colorado},
year = {2017}
}
@Article{nishikawa_liu_jcp2017v344pp595-622,
author = {H. Nishikawa and Y. Liu},
title = {Accuracy-Preserving Source Term Quadrature for Third-Order Edge-Based Discretization},
journal = JCP,
year = 2017,
volume = {344},
month = September,
pages = {595-622}
}
@InProceedings{LouLiuLuoNishikawa_2017-0310,
author = {Jialin Lou and Xiaodong Liu and Hong Luo and Hiroaki Nishikawa},
title = {Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids},
booktitle = {55th {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2017-0310},
address = {Grapevine, Texas },
year = {2017}
}
@InProceedings{liu_nishikawa_aiaa2017-0081,
author = {Yi Liu and Hiroaki Nishikawa},
title = {Third-Order Inviscid and Second-Order Hyperbolic Navier-Stokes Solvers for Three-Dimensional Unsteady Inviscid and Viscous Flows},
booktitle = {55th {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2017-0081},
address = {Grapevine, Texas },
year = {2017}
}
@InProceedings{liu_nishikawa_aiaa2017-0738,
author = {Yi Liu and Hiroaki Nishikawa},
title = {Hyperbolic Navier-Stokes Method for High-Reynolds-Number Boundary-Layer Flows},
booktitle = {55th {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2017-0738},
address = {Grapevine, Texas },
year = {2017}
}
@Article{jcp2016v321pp729-754,
author = {A. Mazaheri and H. Nishikawa},
title = {Efficient High-Order Discontinuous Galerkin Schemes
with First-Order Hyperbolic Advection-Diffusion System Approach},
journal = JCP,
year = 2016,
volume = {321},
month = September,
pages = {729-754}
}
@Article{jcp2016v321pp593-605,
author = {A. Mazaheri and Mario Ricchiuto and H. Nishikawa},
title = {A First-Order Hyperbolic System Approach for Dispersion},
journal = JCP,
year = 2016,
volume = {321},
month = September,
pages = {593-605}
}
@Article{BatyNishikawa:MNRAS2016,
author = {Hubert Baty and Hiroaki Nishikawa},
title = {Hyperbolic Method for Magnetic Reconnection Process in Steady State Magnetohydrodynamics},
journal = {Monthly Notices of the Royal Astronomical Society},
year = 2016,
volume = 459,
issue = 1,
month = June,
pages = {624-637},
doi = {10.1093/mnras/stw654}
}
@InProceedings{liu_nishikawa_aiaa2016-3969,
author = {Yi Liu and Hiroaki Nishikawa},
title = {Third-Order Inviscid and Second-Order Hyperbolic Navier-Stokes Solvers
for Three-Dimensional Inviscid and Viscous Flows},
booktitle = {64th {AIAA} Fluid Dynamics Conference},
series = {{AIAA} Paper 2016-3969},
address = {Washington, D.C. },
year = {2016}
}
@InProceedings{NakashimaWatanabeNishikawa_AIAA2016-1101,
author = {Yoshitaka Nakashima and Norihiko Watanabe and Hiroaki Nishikawa},
title = {Hyperbolic Navier-Stokes Solver for Three-Dimensional Flows},
booktitle = {54th {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2016-1101},
address = {San Diego, CA},
year = {2016}
}
@Article{cf2016v131pp29-44,
author = {A. Mazaheri and H. Nishikawa},
title = {High-order shock-capturing hyperbolic residual-distribution schemes on irregular triangular grids, Computers and Fluids},
journal = {Computers and Fluids},
year = 2016,
volume = 131,
month = June,
pages = {29-44}
}
@InProceedings{mazaheri_nishikawa_aiaa2016-1331,
author = {Alireza Mazaheri and Hiroaki Nishikawa},
title = {High-Order Residual-Distribution Schemes for Discontinuous Problems on Irregular Triangular Grids},
booktitle = {54th {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2016-1331},
address = {San Diego, CA},
year = {2016}
}
@InProceedings{LouLuoNishikawa:ICCFD2016,
author = {Jialin Lou and Hong Luo and and Hiroaki Nishikawa},
title = {Discontinuous {G}alerkin Methods for Hyperbolic Advection-Diffusion Equation on Unstructured Grids},
type = {{ICCFD7}},
booktitle = {Proc. of The 9th International Conference on Computational Fluid Dynamics},
address = {Istanbul, Turkey},
year = 2016
}
@Article{nishikawa_roe_active_flux_advdiff:CF2016,
author = {H. Nishikawa and Philip L. Roe},
title = {Third-order active-flux scheme for advection diffusion: Hyperbolic diffusion, boundary condition, and Newton solver},
journal = {Computers and Fluids},
year = 2016,
volume = 125,
month = February,
pages = {71-81}
}
@Article{mazaheri_nishikawa_jcp2015-300,
author = {A. Mazaheri and H. Nishikawa},
title = {Improved second-order hyperbolic residual-distribution scheme and its extension to third-order on arbitrary triangular grids},
journal = JCP,
year = 2015,
volume = {300},
month = July,
pages = {455-491}
}
@InProceedings{nishikawa_onetwothree_ns:AIAA2015,
author = {Hiroaki Nishikawa},
title = {Alternative Formulations for First-, Second-, and Third-Order Hyperbolic Navier-Stokes Schemes},
booktitle = {22nd AIAA Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2015-2451},
address = {Dallas},
year = {2015}
}
@InProceedings{mazaheri_nishikawa_aiaa2015-2445,
author = {Alireza Mazaheri and Hiroaki Nishikawa},
title = {High-Order Hyperbolic Residual-Distribution Schemes on Arbitrary Triangular Grids},
booktitle = {22nd AIAA Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2015-2451},
address = {Dallas},
year = {2015}
}
@InProceedings{nishikawa_aiaa2015-2450,
author = {Hiroaki Nishikawa},
title = {Active Flux for Advection Diffusion},
booktitle = {22nd AIAA Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2015-2450},
address = {Dallas},
year = {2015}
}
@InProceedings{nakashima_watanabe_nishikawa_CFDS28_2014-C08-1,
author = {Yoshitaka Nakashima, Norihiko watanabe, Hiroaki Nishikawa},
title = {Development of an Effective Implicit Solver for General-Purpose Unstructured CFD Software},
booktitle = {Proc. of The 28th Computational Fluid Dynamics Symposium},
series = {{C}08-1},
address = {Tokyo},
month = December,
year = {2014}
}
@Article{nishikawa_boundary_quadrature:JCP2015,
author = {H. Nishikawa},
title = {Accuracy-preserving boundary flux quadrature for finite-volume discretization on unstructured grids},
journal = JCP,
year = 2015,
volume = {281},
month = January,
pages = {518-555}
}
@Article{mazaheri_nishikawa:CF2014,
author = {A. Mazaheri and H. Nishikawa},
title = {Very efficient high-order hyperbolic schemes for time-dependent advection-diffusion problems: Third-, fourth-, and sixth-order},
journal = {Computers and Fluids},
year = 2014,
volume = 102,
month = October,
pages = {131-147}
}
@InProceedings{nishikawa_onetwothree_ns:AIAA2014-2091,
author = {Hiroaki Nishikawa},
title = {First, Second, and Third Order Finite-Volume Schemes for {N}avier-{S}tokes
Equations},
booktitle = {Proc. of 7th {AIAA} Theoretical Fluid Mechanics Conference},
series = {{AIAA} Paper 2014-2091},
address = {Atlanta},
year = {2014}
}
@InProceedings{nishikawa_roe_eymann:AIAA2014-2092,
author = {Hiroaki Nishikawa and Philip {L}. Roe and Timothy {A}. Eymann},
title = {Active Flux for Diffusion},
booktitle = {Proc. of 7th {AIAA} Theoretical Fluid Mechanics Conference},
series = {{AIAA} Paper 2014-2092},
address = {Atlanta},
year = {2014}
}
@Article{nishikawa_onetwothree_advdiffusion:JCP2014,
author = {H. Nishikawa},
title = {First-, Second-, and Third-Order Finite-Volume Schemes for Diffusion},
journal = JCP,
year = 2014,
volume = {273},
pages = {287-309},
url = {http://www.hiroakinishikawa.com/My_papers/nishikawa_jcp2014v273pp287-309_preprint.pdf}
}
@Article{mazaheri_nishikawa:NASATM2014,
author = {Alireza Mazaheri and Hiroaki Nishikawa},
title = {First-Order Hyperbolic System Method for Time-Dependent Advection-Diffusion Problems},
journal = {NASA-{TM}--2014--218175},
year = 2014,
month = {March}
}
@InProceedings{diskin_nishikawa:AIAA2014-0080,
author = {Boris Diskin and Hiroaki Nishikawa},
title = {Evaluation of Multigrid Solutions for Turbulent Flows},
booktitle = {52nd {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2014-0080},
address = {National {H}arbor},
year = {2014}
}
@Article{nishikawa_onetwothree_diffusion:JCP2014,
author = {H. Nishikawa},
title = {First-, Second-, and Third-Order Finite-Volume Schemes for Diffusion},
journal = JCP,
year = 2014,
volume = {256},
pages = {791-805},
url = {http://www.hiroakinishikawa.com/My_papers/nishikawa_jcp2014v256pp791-805_preprint.pdf}
}
@InProceedings{nishikawa_advection_diffusion:AIAA2013-2568,
author = {Hiroaki Nishikawa},
title = {First, Second, and Third Order Finite-Volume Schemes for Advection-Diffusion},
booktitle = {21st {AIAA} Computational Fluid Dynamics Conference},
series = {{AIAA} Paper 2013-2568},
address = {San Diego, California},
year = 2013
}
@InProceedings{multigrid:AIAA2013,
author = {Hiroaki Nishikawa and Boris Diskin and James L. Thomas and D. H. Hammond},
title = {Recent Advances in Agglomerated Multigrid},
booktitle = {51st {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2013-863},
address = {Texas},
year = 2013
}
@InProceedings{nishikawa_diffusion:AIAA2013,
author = {Hiroaki Nishikawa},
title = {First, Second, and Third Order Finite-Volume Schemes for Diffusion},
booktitle = {51st {AIAA} Aerospace Sciences Meeting},
series = {{AIAA} Paper 2013-1125},
address = {Texas},
year = 2013
}
@Article{nishikawa_JCP2012,
author = {H. Nishikawa},
title = {Divergence Formulation of Source Term},
journal = {Journal of Computational Physics},
year = 2012,
volume = 231,
pages = {6393-6400}
}
@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_JCP2012_accepted_manuscript,
title = "Divergence Formulation of Source Term",
journal = "Journal of Computational Physics",
volume = "",
number = "0",
pages = " - ",
year = "2012",
note = "",
issn = "0021-9991",
doi = "10.1016/j.jcp.2012.05.032",
url = "http://www.sciencedirect.com/science/article/pii/S0021999112003014?v=s5",
author = "Hiroaki Nishikawa",
keywords = "Finite-volume",
keywords = "Source term",
keywords = "High-order",
keywords = "Triangular grid",
keywords = "Uniform accuracy"
}
@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
}