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Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 4, 页码: 708-731
作者:  Wang, Yunchu;  Yuan, Li
收藏  |  浏览/下载：104/0  |  提交时间：2022/04/02
Incompressible Navier-Stokes equations  artificial compressibility  upwind compact difference  convergence  enclosed domain  
A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows 期刊论文
COMPUTERS & FLUIDS, 2021, 卷号: 227, 页码: 16
作者:  Hu, Lijun;  Yuan, Li
收藏  |  浏览/下载：121/0  |  提交时间：2021/10/26
Euler equations  Centred schemes  FORCE scheme  Contact discontinuity  Carbuncle phenomenon  Boundary variation diminishing  
A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 2, 页码: 488-507
作者:  Mohanty, R. K.;  Yuan, Li;  Sharma, Divya
收藏  |  浏览/下载：151/0  |  提交时间：2021/04/26
Half-step discretization  compact scheme in exponential form  two-level implicit scheme  Burgers' equation  Navier-Stokes equations of motion  Taylor-vortex problem  
Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows 期刊论文
COMPUTERS & FLUIDS, 2020, 卷号: 213, 页码: 15
作者:  Hu, Lijun;  Yuan, Li;  Zhao, Kunlei
收藏  |  浏览/下载：126/0  |  提交时间：2021/04/26
Euler equations  HLL-type Riemann solver  Genuinely two-dimensional  Zha-Bilgen splitting  Carbuncle phenomenon  Shock instability  
A low-dissipation third-order weighted essentially nonoscillatory scheme with a new reference smoothness indicator 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2020, 卷号: 92, 期号: 9, 页码: 1212-1234
作者:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
收藏  |  浏览/下载：137/0  |  提交时间：2020/09/23
Euler equation  hyperbolic conservation law  nonlinear weight  reference smoothness indicator  third-order accuracy  WENO  
A new 6th-order WENO scheme with modified stencils 期刊论文
COMPUTERS & FLUIDS, 2020, 卷号: 208, 页码: 16
作者:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
收藏  |  浏览/下载：122/0  |  提交时间：2020/11/18
WENO scheme  Sixth-order accuracy  Modified stencil  Hyperbolic conservation law  
A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 卷号: 39, 期号: 3, 页码: 20
作者:  Du, Yulong;  Wang, Yahui;  Yuan, Li
收藏  |  浏览/下载：159/0  |  提交时间：2020/09/23
Finite-volume method  High-order accuracy  Dimension-by-dimension reconstruction  Cartesian grid  Nonlinear convection-diffusion equation  65M08  65M12  65M20  
求解可压缩流的二维通量分裂格式 期刊论文
计算力学学报, 2020, 卷号: 37, 期号: 2, 页码: 247-253
作者:  胡立军;  翟健;  袁礼
收藏  |  浏览/下载：138/0  |  提交时间：2020/06/30
euler equations  compressible flow  Toro-Vazquez splitting  genuinely two-dimensional flux splitting scheme  GT-TV scheme  robustness  欧拉方程  可压缩流  Toro-Vazquez分裂  真正二维通量分裂格式  GT-TV格式  鲁棒性  
Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 898-922
作者:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
收藏  |  浏览/下载：132/0  |  提交时间：2020/05/24
WENO scheme  Stencil approximation order  Smoothness indicator  Hyperbolic conservation law  Euler equation  
A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 26, 期号: 3, 页码: 768-784
作者:  Du, Yulong;  Yuan, Li;  Wang, Yahui
收藏  |  浏览/下载：181/0  |  提交时间：2020/01/10
Finite volume method  high-order accuracy  dimension-by-dimension reconstruction  Cartesian grid