Algorithm Development for
Computational Fluid Dynamics

Simple ideas for difficult problems
Hiroaki Nishikawa
Senior Research Scientist,
National Institute of Aerospace
NASA Langley Research Center
E-mail 		Research Interests:   Algorithm development for Computational Fluid Dynamics (CFD) --- Viscous discretizations, Riemann solvers, discretization methods for unstructured grids: residual-distribution, finite-volume, discontinuous Galerkin, spectral-volume, multigrid methods, grid adaptation, etc.
Why do I want to post my preprints, notes, and codes in public? (Blog Article)
NIA CFD Seminar (Presentation files, seminar videos available)

    Hyperbolic Stories::  

[ pdf ]   "First-Order Hyperbolic System Method" - NIA CFD Seminar, October 2011
[ pdf ]   "Robust and Accurate Viscous Discretization by Hyperbolic Recipe" - NIA CFD Seminar, November 2011
[ pdf ]   "First-Order Hyperbolic System Method" - NIA Sandwitch Seminar, March 2012 (First Sushi-Burger Talk)
[ pdf ]   "Hyperbolize It" - Conference on Future Directions in CFD Research, August 2012 (Second Sushi-Burger Talk)
[ pdf ]   "Radical or Traditional" - One page slide from JAXA CFD seminar in 2013

    Papers of Interest :  
  1. Wedding of Finite-Volume and Residual Distribution
    --- "Aha!":   A new idea for guaranteeng discrete conservation.

    H. Nishikawa, Multidimensional Upwind Finite-Volume Schemes by Residual-Distribution Schemes, coming someday.
  2. Robust First-Order and Super Third-Order Advection-Diffusion Schemes
    --- Extremely difficult or extremely easy.

    H. Nishikawa, First, Second, and Third Order Finite-Volume Schemes for Advection-Diffusion, coming next.
  3. Robust First-Order and Super Third-Order Diffusion Schemes
    --- See how advection schemes become diffusion schemes overnight.

    H. Nishikawa, First, Second, and Third Order Finite-Volume Schemes for Diffusion, AIAA Paper 2013-1125, 51st AIAA Aerospace Sciences Meeting, 7 - 10 January, Grapevine, Texas, 2013.
    [ bib | pdf | slides | seminar video ]
  4. Unification of Conservation Law and Source Term
    --- Discretize source terms just like a conservation law. Yes, you can!

    H. Nishikawa, Divergence Formulation of Source Term, Journal of Computational Physics, Volume 231, Issue 19, 1 August 2012, Pages 6393-6400, 2012.
    [ bib | pdf | online | slides | seminar video ]
    Ranked in Top 25 Hottest Articles at ScienceDirect!
  5. A Farewell to Traditional Navier-Stokes Codes
    --- Intrinsically efficient and accurate hyperbolic viscous solvers.

    H. Nishikawa, New-Generation Hyperbolic Navier-Stokes Schemes:
    O(1/h) Speed-Up and Accurate Viscous/Heat Fluxes,
    AIAA Paper 2011-3043, 20th AIAA Computational Fluid Dynamics Conference, Hawaii, 2011.
    [ bib | pdf | slides | poster | story ]
  6. Robust and Accurate Viscous Discretization
    --- Extended recipe: Viscous discretization by upwind schemes.

    H. Nishikawa, Two Ways to Extend Diffusion Schemes to Navier-Stokes Schemes: Gradient Formula or Upwind Flux, AIAA Paper 2011-3044, 20th AIAA Computational Fluid Dynamics Conference, Hawaii, 2011.
    [ bib | pdf | slides ]
  7. Everybody's Recipe for Making Good Diffusion Schemes
    --- A universal recipe for all methods. So simple, so good.

    Long Version
    H. Nishikawa, Beyond Interface Gradient: A General Principle for Constructing Diffusion Schemes, AIAA Paper 2010-5093, 40th AIAA Fluid Dynamics Conference and Exhibit, Chicago, 2010.
    [ bib | pdf | slides| note ]

    Short Version
    H. Nishikawa, Robust and Accurate Viscous Discretization via Upwind Scheme - I: Basic Principle, Computers and Fluids, 49, pp.62-86 2011.
    [ bib | pdf | online | note ]
  8. Unification of Advection and Diffusion
    --- Are you ready to say goodbye to diffusion?

    H. Nishikawa, A First-Order System Approach for Diffusion Equation. II: Unification of Advection and Diffusion, Journal of Computational Physics, 227, pp. 3989-4016, 2010.
    [ bib | pdf | online | poster ]
    Ranked in Top 25 Hottest Articles at ScienceDirect!
  9. Robust Euler Flux
    --- Remarkably simple and robust flux.

    H. Nishikawa and K. Kitamura, Very Simple, Carbuncle-Free, Boundary-Layer-Resolving, Rotated-Hybrid Riemann Solvers, Journal of Computational Physics, 227, pp. 2560-2581, 2008.
    [ bib | pdf | online | 2D subroutine| 3D subroutine ]
  10. Hyperbolic Diffusion Schemes
    --- Amazingly fast explicit diffusion scheme (6min->3sec).

    H. Nishikawa, A First-Order System Approach for Diffusion Equation. I: Second-Order Residual Distribution Schemes, Journal of Computational Physics, 227, pp. 315-352, 2007.
    [ bib | pdf | online | code | poster ]
   

Complete List of Papers: Published/presented papers can be downloaded in the list of papers.

CFD Notes: Some unpublished CFD notes are available at CFDnotes.com.
Kuromame Taro (Black Bean Taro)
CFD Books: Dr. Masatsuka's " I do like CFD, VOL. 1 ". Visit CFDbooks.com for free CFD codes.

Other Interests: Creative activities. Details can be found somewhere else.
    Background: Osaka[Sakai]-Kanagawa-Tokyo, Japan (1971-1994; BS), Michigan (1994 - 2007; MS, MSE, PhD), Virginia (2007 - Present), Aerospace Engineering, Applied Mathematics, Scientific Computing.

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