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CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids 期刊论文
CALCOLO, 2017, 卷号: 54, 期号: 4, 页码: 1403-1417
作者:  Zhang, Shangyou;  Zhang, Shuo
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Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
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PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows 期刊论文
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 卷号: 14, 期号: 5, 页码: 14
作者:  Shah, Abdullah;  Saeed, Sadia;  Yuan, L.
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
Two-phase flow  phase-field model  incompressible Navier-Stokes equations  artificial compressibility method  Boussinesq approximation  
A central compact scheme for numerical solution of two-phase incompressible flow using Allen-Cahn phase field model 期刊论文
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2016, 卷号: 38, 期号: 2, 页码: 433-441
作者:  Rizwan, Muhammad;  Shah, Abdullah;  Yuan, Li
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
Two-phase flow  Phase field model  Artificial compressibility  Dual-time stepping  Central compact scheme  
Numerical solution of a phase field model for incompressible two-phase flows based on artificial compressibility 期刊论文
COMPUTERS & FLUIDS, 2011, 卷号: 42, 期号: 1, 页码: 54-61
作者:  Shah, Abdullah;  Yuan, Li
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
Two-phase flow  Phase field model  Incompressible Navier-Stokes equations  Artificial compressibility  WENO scheme  
Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2010, 卷号: 215, 期号: 9, 页码: 3201-3213
作者:  Shah, Abdullah;  Yuan, Li;  Khan, Aftab
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
Incompressible Navier-Stokes equation  Artificial compressibility method  Upwind compact finite difference  Flux-difference splitting  Dual-time stepping  Kovasznay flow problem  Oscillating plate  Taylor's decaying vortices  Doubly periodic shear layer  
A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2009, 卷号: 5, 期号: 2-4, 页码: 712-729
作者:  Shah, Abdullah;  Guo, Hong;  Yuan, Li
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
Upwind compact difference  flux difference splitting  incompressible Navier-Stokes equations  artificial compressibility  lid-driven cavity flow  
Resolving the shock-induced combustion by an adaptive mesh redistribution method 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 卷号: 224, 期号: 2, 页码: 587-600
作者:  Yuan, Li;  Tang, Tao
收藏  |  浏览/下载:87/0  |  提交时间:2018/07/30
adaptive mesh redistribution  monitor function  chemically reacting flow  shock-induced combustion  
New error estimates of biquadratic Lagrange elements for Poisson's equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2006, 卷号: 56, 期号: 5, 页码: 712-744
作者:  Huang, HT;  Li, ZC;  Zhou, AH
收藏  |  浏览/下载:95/0  |  提交时间:2018/07/30
lagrange elements  biquadratic elements  Poisson's equation  global superconvergence  ultraconvergence  
A new parallel strategy for two-dimensional incompressible flow simulations using pseudo-spectral methods 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 卷号: 210, 期号: 1, 页码: 325-341
作者:  Yin, Z;  Yuan, L;  Tang, T
收藏  |  浏览/下载:112/0  |  提交时间:2018/07/30
parallel computing  pseudo-spectral methods  task distribution  Navier-Stokes equations  Boussinesq equations