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Publications:

  • Mathematical, Physical and Numerical Principles Essential for Models of Turbulent Mixing (H. Lim, Y. Yu, J. Glimm, D. H. Sharp, Submitted to IMA Proceedings, 2009)(PDF)

  • Verification and Validation for Turbulent Mixing (H. Lim, J. Iwerks, Y. Yu, J. Glimm, D. H. Sharp, Submitted to Physica Scripta, 2009)(PDF)

  • Nearly Discontinuous Chaotic Mixing (H. Lim, Y. Yu, J. Glimm, D. H. Sharp, High Energy Density Physics, in press, 2010)(PDF)

  • Subgrid Models for Mass and Thermal Diffusion in Turbulent Mixing (H. Lim, Y. Yu, J.Glimm, X.-L. Li and D. H. Sharp, Submitted to Physica Scripta, 2008)(PDF)

  • Subgrid Models for Turbulent Mixing (H. Lim, Y. Yu, J.Glimm, X.-L. Li and D. H. Sharp, Astronomical Society of the Pacific (ASP) Conference Series,  406(2008), pp. 42, 2008) (PDF)

  • Chaos, Transport, and Mesh Convergence for Fluid Mixing (H. Lim, Y. Yu, J.Glimm, X.-L. Li and D. H. Sharp, Acta Math. Applicatae Sinica, 24(2008), pp.355-368,  2007) (PDF)

  • Multi Scale Models for Fluid Mixing (H. Lim, Y. Yu, H. Jin, D. Kim, H. Lee, J.Glimm, X.-L. Li and D. H. Sharp, CMAME special issue on Stochastic Modeling, 197 (2008), pp. 3435–3444,  2007) (PDF)

  • Multi Phase Closure Models (W. Bo, H. Jin, D. Kim, X. Liu, H. Lee, N. Pestieau, Y. Yu, J. Glimm, J. W. Grove, Computers & Mathematics with Applications, 56 (2008), pp. 1291–1302, 2007) (PDF)

  • On validation of turbulent mixing simulations for Rayleigh-Taylor instability (H. Lee, H. Jin, Y. Yu, J. Glimm, Phys. Fluids, 20(2008), pp. 1-8, 2007) (PDF)

  • A Multifluid Mix Model for the Layered Incompressible Materials (B. Cheng, J. Glimm, D. H. Sharp, Y. Yu, Physica Scripta, T132(2008), pp. 14-16)

  • Uncertainty Quantification for Chaotic Computational Fluid Dynamics (Y. Yu, M. Zhao, T. Lee, N. Pestieau, W. Bo, J. Glimm, J. W. Grove, J. Comp. Phys,  217(2006), pp. 200-216, August 2005) (PDF)

  • Recent Progress in the Stochastic Analysis of  Turbulent Mixing (W. Bo, B. Cheng, J. Du, B. Fix, E. George, J. GLimm, J. W. Grove, X. Jia, H. Jin, H. Lee, Y. Li, X. Li, X. Liu, L. Wu, Y. Yu, Contemporary Mathematics, 429(2007), pp. 33-44, September 2005) (PDF)

  • A Multiphase Flow Model for the Unstable Mixing of Layered Incompressible Materials (B. Cheng, J. Glimm, D. Sharp, Y. Yu, Physics of Fluids, vol. 17, issue 8 (2005), Jan 2005) (PDF)

  • Errors in Numerical Solutions of Shock Physics Problems (Y. Yu, PhD thesis, SUNY at Stony Brook, December 2004) (PDF)

  • Error Analysis of Composite Shock Interaction Problems (Y. Yu, T. Lee, M. Zhao, J. Glimm, X. Li, K. Ye, Proceeding of  PMC 2004, Albuquerque, New Mexico, August 2004) (PDF)

  • Shock Wave Interactions in Spherical and Perturbed Spherical Geometries (S. Dutta, E. George, J. Glimm, T. Lee, Y. Yu, M. Zhao, Nonlinear Analysis, 63(2005), pp. 644-652, June 2004) (PDF)

  • Errors in numerical solutions of spherically symmetric shock physics problem (J. Glimm, J. W. Grove, Y. Kang, T. Lee, X. Li, D. H. Sharp, Y. Yu, K. Ye, M. Zhao, Contemporary Mathematics, 371(2005), pp. 167-179, December 2003) (PDF)

  • Statistical Riemann problems and a composition law for errors in numerical solutions of shock physics problems (J. Glimm, J. W. Grove, Y. Kang, T. Lee, X. Li, D. H.  Sharp, Y. Yu, K. Ye, M. Zhao, SISC special issue on Uncertainty Quantification, 26(2004), pp. 666-697, Los Alamos National Laboratory number LA-UR-03-2921, August 2003) (PDF)

  • Numerical Simulation Methods to Richtmyer-Mehskov Instabilities (Y. Yu, N. Zhao, W. Tang, Mathematica Numerica Sinica, Vol. 24, No.1(2002), pp. 76-90, November 2001) (PDF)