Papers of all kinds
Latest Update: June 27, 2009

  1. H. Nishikawa, Diffusion Schemes Derived from Advection Schemes , in preparation.

  2. H. Nishikawa, A First-Order System Approach for Diffusion Equation. II: Unification of Advection and Diffusion, to be submitted for publication. (a draft will be uploaded soon.)

  3. H. Nishikawa, Towards Future Navier-Stokes Schemes: Uniform Accuracy, O(h) Time step, and Accurate Viscous/Heat Fluxes, AIAA Paper 2009-3648, 19th AIAA CFD Conference, June 2009. pdf

  4. H. Nishikawa, B. Diskin, and J. L. Thomas, A Critical Study of Agglomerated Multigrid Methods for Diffusion , AIAA Paper 2009-4138, 19th AIAA CFD Conference, June 2009. pdf

  5. B. Diskin, J. L. Thomas, E, J. Nielsen, H. Nishikawa and J. A. White, Comparison of Node-Centered and Cell-Centered Unstructured Finite-Volume Discretizations. Part I: Viscous Fluxes, AIAA Paper 2009-597, 47th AIAA Aerospace Sciences Meeting, Jan. 2009. pdf

  6. H. Nishikawa, Adaptive-Quadrature Fluctuation-Splitting Schemes for the Euler Equations, in International Journal for Numerical Methods in Fluids, 57, pp. 1-12, 2008. Download (at Journal HP)

  7. 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. draft_pdf or Download (ScienceDirect)

  8. 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. draft_pdf or Download (ScienceDirect)

  9. H. Nishikawa, Multigrid Third-Order Least-Squares Solution of Cauchy-Riemann Equations on Unstructured Triangular Grids, International Journal for Numerical Methods in Fluids, 53: 443-454, 2007. pdf or Download (at Journal HP)

  10. H. Nishikawa and P. L. Roe, High-Order Fluctuation-Splitting Schemes for Advection-Diffusion Equation, ICCFD in Gent, Belgium, July 2006. pdf

  11. F. Ismail, P. L. Roe, and H. Nishikawa, A Proposed Cure to the Carbuncle Phenomenon, ICCFD in Gent, Belgium, July 2006. pdf

  12. H. Nishikawa, Higher-Order Discretizatoin of Diffusion Terms in Residual Distribution Methods, in 34th VKI CFD Lecture Series, Very High Order Discretization Methods, VKI Lecture Series, 2005.

  13. H. Nishikawa and P. L. Roe, Adaptive Quadrature Fluctuation-Splitting Schemes for the Euler Equations, AIAA Paper 2005-4865, 17th AIAA CFD Conference, Toronto, June 2005. pdf

  14. H. Nishikawa and P. L. Roe, Towards High-Order Fluctuation-Splitting Schemes for Navier-Stokes Equations , AIAA Paper 2005-5244, 17th AIAA CFD Conference, Toronto, June 2005. pdf

  15. P. L. Roe, H. Nishikawa, F. Ismail and L. Scalabrin, On Carbuncles and Other Excrescences , AIAA Paper 2005-4872, 17th AIAA CFD Conference, Toronto, June 2005. pdf

  16. H. Koyama and H. Nishikawa, Numerical Method for thermally unstable hydrodynamics, Fluid Dynamics Conference in Japan, August 2004 (in Japanese).pdf

  17. H. Nishikawa and P. L. Roe, On High-Order Fluctuation-Splitting Schemes for Navier-Stokes Equations, ICCFD in Toronto, July 2004. pdf

  18. H. Nishikawa, Multigrid Third-Order Least-Squares Solution of Cauchy-Riemann Equations on Unstructured Triangular Grids, ICCFD in Toronto, July 2004. pdf

  19. H. Nishikawa, On Simple Wave Solutions, Unpublished, May 2003. (included in Masatsuka's CFD Book)

  20. H. Nishikawa and B. van Leer, Optimal Multigrid Convergence by Elliptic/Hyperbolic Splitting, J. Comput. Phys., 190, pp. 52-63, 2003. pdf or Download (ScienceDirect)

  21. H. Nishikawa, P. L. Roe, Y. Suzuki, B. van Leer, A General Theory of Local Preconditioning and Its Application to the 2D Ideal MHD Equations, AIAA Paper 2003-3704, 16th AIAA Computational Fluid Dynamics Conference, Orlando, June 2003. pdf

  22. P. L. Roe, K. Kabin and H.Nishikawa, Toward A General Theory of Local Preconditioning, AIAA Paper 2002-2956, 32nd AIAA Fluid Dynamics Conference, St. Louis, June 2002. pdf

  23. H. Nishikawa and B. van Leer, Optimal Multigrid Convergence by Elliptic/Hyperbolic Splitting, AIAA Paper 2002-2951, 32nd AIAA Fluid Dynamics Conference, St. Louis, June 2002. pdf

  24. P. L. Roe and H. Nishikawa, Adaptive Grid Generation by Minimising Residuals, Int. J. Numer. Meth. Fluids 2002; 40: 121-136. pdf or Download (at Journal HP)

  25. H. Nishikawa, M. Rad, and P. L. Roe, A Third-Order Fluctuation-Splitting Scheme That Preserves Potential Flow, AIAA Paper 2001-2595, 15th AIAA Computational Fluid Dynamics Conference, Anaheim, June 2001. pdf

  26. P. L. Roe and H. Nishikawa, Adaptive Grid Generation by Minimising Residuals, ICFD Conference on Numerical Methods in Fluid Dynamics, Oxford, U.K., 2001. pdf

  27. Hiroaki Nishikawa, On Grids and Solutions from Residual Minimization, PhD Thesis, Aerospace Engineering, University of Michigan, 2001. Abstract(pdf) Single-Sided(pdf) Double-Sided(pdf)

  28. H. Nishikawa, M. Rad, and P.L. Roe ,Grids and Solutions from Residual Minimisation, First International Conference on CFD, Kyoto, Springer, 2000. pdf

  29. M. Rad, H. Nishikawa and P.L. Roe ,Some Properties of Residual Distribution Schemes for Euler Equations, First International Conference on CFD, Kyoto, Springer, 2000. pdf

  30. H. Nishikawa,Second-Order L2 Error Estimates for Piecewise Linear Approximation in One Dimension, Unpublished, 1998. pdf

I'm not smart. I'm just trying to be creative.

A Japanese philosopher

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