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Numerical simulation of multiple steady and unsteady flow modes in a medium-gap spherical Couette flow 期刊论文
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2019, 卷号: 41, 期号: 1, 页码: 14
Authors:  Abbas, Suhail;  Yuan, Li;  Shah, Abdullah
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Incompressible Navier-Stokes equation  WENO scheme  Line Gauss-Seidel scheme  Spherical Couette flow  Spiral wavy Taylor vortex  
Existence regime of symmetric and asymmetric Taylor vortices in wide-gap spherical Couette flow 期刊论文
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2018, 卷号: 40, 期号: 3, 页码: 15
Authors:  Abbas, Suhail;  Yuan, Li;  Shah, Abdullah
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Spherical Couette flow  Wide gap  Symmetric Taylor vortices  Asymmetric Taylor vortices  
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
Authors:  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
Authors:  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
Authors:  Shah, Abdullah;  Saeed, Sadia;  Yuan, L.
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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
Authors:  Rizwan, Muhammad;  Shah, Abdullah;  Yuan, Li
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Two-phase flow  Phase field model  Artificial compressibility  Dual-time stepping  Central compact scheme  
Global small solutions of 2-D incompressible MHD system 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 10, 页码: 5440-5485
Authors:  Lin, Fanghua;  Xu, Li;  Zhang, Ping
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Inviscid MHD system  Anisotropic Littlewood-Paley theory  Dissipative estimates  Lagrangian coordinates  
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
Authors:  Shah, Abdullah;  Yuan, Li
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Two-phase flow  Phase field model  Incompressible Navier-Stokes equations  Artificial compressibility  WENO scheme  
On the free boundary problem to the two viscous immiscible fluids 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 卷号: 248, 期号: 5, 页码: 1044-1111
Authors:  Xu, Li;  Zhang, Zhifei
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Navier-Stokes equations  Free boundary problem  Sobolev-Slobodetski space  
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
Authors:  Shah, Abdullah;  Yuan, Li;  Khan, Aftab
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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