Li Yuan

ORCID: 0000-0003-1397-9089
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About
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Research Areas
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Numerical Methods in Computational Mathematics
  • Fluid Dynamics and Turbulent Flows
  • Lattice Boltzmann Simulation Studies
  • Gas Dynamics and Kinetic Theory
  • Matrix Theory and Algorithms
  • Differential Equations and Numerical Methods
  • Holomorphic and Operator Theory
  • Advanced Topics in Algebra
  • Numerical methods for differential equations
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in engineering
  • Ultrasound and Cavitation Phenomena
  • Ultrasound and Hyperthermia Applications
  • Fluid Dynamics and Heat Transfer
  • Photoacoustic and Ultrasonic Imaging
  • Meteorological Phenomena and Simulations
  • Spectral Theory in Mathematical Physics
  • Nonlinear Dynamics and Pattern Formation
  • Solidification and crystal growth phenomena
  • Fluid Dynamics and Vibration Analysis
  • Electromagnetic Scattering and Analysis
  • Geomagnetism and Paleomagnetism Studies
  • Fluid Dynamics and Mixing
  • Fluid Dynamics Simulations and Interactions

Academy of Mathematics and Systems Science
2014-2024

National Center for Mathematics and Interdisciplinary Sciences
2012-2024

Chinese Academy of Sciences
2014-2024

University of Chinese Academy of Sciences
2011-2024

Wenzhou University
2011-2024

Shaanxi Normal University
2008-2024

Institute of Computing Technology
2009-2018

Beijing Institute of Petrochemical Technology
2017

Inner Mongolia University for Nationalities
2014-2015

Nanjing University of Aeronautics and Astronautics
2007-2012

To clarify the mechanism of gas plugging caused by gas–liquid separation in a helical axial multiphase flow pump under two-phase conditions, pattern, bubble distribution, and evolution were studied high-speed camera technology. It is found that phase presents four different forms with inlet volume fractions: isolated flow, linear airbag emulsion flow. The increase fraction promotes aggregation bubbles changes pattern inside impeller. This change can be alleviated increasing rotational speed...

10.1063/5.0251497 article EN Physics of Fluids 2025-02-01

SUMMARY The penalty finite element method for Navier–Stokes equations with nonlinear slip boundary conditions is investigated in this paper. Since class of include the subdifferential property, weak variational formulation a inequality problem second kind. Using approximation, we obtain optimal error estimates between exact solution and approximation solution. Finally, show numerical results which are full agreement theoretical results. Copyright © 2011 John Wiley & Sons, Ltd.

10.1002/fld.2574 article EN International Journal for Numerical Methods in Fluids 2011-04-27

10.1006/jcph.2002.7007 article EN Journal of Computational Physics 2002-03-01

10.1016/j.cnsns.2023.107334 article EN Communications in Nonlinear Science and Numerical Simulation 2023-06-02

We studied the dependence of thermodynamic variables in a sonoluminescing (SL) bubble on various physical factors, which include viscosity, thermal conductivity, surface tension, equation state gas inside bubble, as well compressibility surrounding liquid. The numerical solutions show that existence shock waves SL parameter regime is very sensitive to these factors. Furthermore, we even without waves, reflection continuous compressional at center can produce high temperature and picosecond...

10.1103/physreve.57.4265 article EN Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 1998-04-01

10.1016/s0167-2789(01)00224-x article EN Physica D Nonlinear Phenomena 2001-06-01

10.1016/j.jcp.2006.10.006 article EN Journal of Computational Physics 2006-12-02

By solving numerically the full set of hydrodynamic equations governing pulsation a bubble, we show that shock waves are often absent in stable sonoluminescing bubble. Nevertheless, for wide range physical parameters, continuous compressional wave emerges and heats up resulting black-body radiations have pulse heights widths agree with experimental data. Shock waves, being much less robust, not essential single-bubble sonoluminescence.

10.1103/physreve.58.r2705 article EN Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 1998-09-01

10.1016/j.laa.2010.07.026 article EN publisher-specific-oa Linear Algebra and its Applications 2010-08-31

The spherical Couette flow between two concentric spheres with only the inner sphere rotating is simulated by solving 3D incompressible Navier-Stokes equations a fifth order upwind compact finite difference method. Two moderate clearance ratios, β = (R2 − R1)/R1 0.14 and 0.18, respectively, are chosen for comparison previous experimental numerical results. First, spiral Taylor-Görtler (TG) vortex at Re 1110 [W. M. Sha K. Nakabayashi, “On structure formation of vortices in flow,” J. Fluid...

10.1063/1.4772196 article EN Physics of Fluids 2012-12-01

We numerically study the wide-gap spherical Couette flow between two concentric spheres with inner sphere rotating and outer one stationary. Two clearance ratios, 0.50, are chosen to investigate transition scenarios of spiral instabilities increasing Reynolds number (). For , we first obtain steady 1-vortex at by using for a medium gap as initial condition. The exists it collapses back basic when . then detect gradually. becomes unstable where waves wavenumber m = 6 appear first. Increasing...

10.1088/1873-7005/aa9d77 article EN Fluid Dynamics Research 2017-11-27

To simulate bubble dynamic behaviors under an electric field conveniently and accurately, a volume-of-fluid, level set, smoothed physical parameter (VOF+LS+SPP) method based on FLUENT is first proposed. Compared with the VOF VOF+LS methods FLUENT, VOF+LS+SPP has very high precision maximum deviation only 7%. In addition, its simulation results are superior to those obtained by front tracking, LS phase in literature almost same data acquired VOSET method. Finally, proposed used investigate...

10.1080/10407790.2016.1265308 article EN Numerical Heat Transfer Part B Fundamentals 2017-02-01
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