Stability and convergence analysis of a Crank–Nicolson leap-frog scheme for the unsteady incompressible Navier–Stokes equations

Type: Article

Publication Date: 2017-10-13

Citations: 15

DOI: https://doi.org/10.1016/j.apnum.2017.09.012

Locations

  • Applied Numerical Mathematics - View

Similar Works

Action Title Year Authors
+ Crank–Nicolson Leap-Frog Time Stepping Decoupled Scheme for the Fluid–Fluid Interaction Problems 2020 Lingzhi Qian
Xinlong Feng
Yinnian He
+ Decoupled Stabilized Crank–Nicolson LeapFrog method for time-dependent Navier–Stokes/Darcy model 2021 Xiaodong Jia
Hui Feng
+ A stabilized Crank-Nicolson mixed finite element method for non-stationary parabolized Navier-Stokes equations 2017 Yan-Jie Zhou
Fei Teng
Zhendong Luo
+ Stability and convergence analysis of rotational velocity correction methods for the Navier–Stokes equations 2019 Feng Chen
Jie Shen
+ Convergence of a numerical method for the compressible Navier–Stokes system on general domains 2015 Eduard Feireisl
Trygve K. Karper
Martin Michálek
+ Numerical methods for incompressible and compressible Navier-Stokes problems 1985 Marie-Odile Bristeau
Roland Glowinski
B. Mantel
Jacques Périaux
P. Perrier
+ Convergence analysis and error estimates for a parallel algorithm for solving the Navier-Stokes equations 2002 I. I. Albarreal
M. Carmen Calzada
J.L. Cruz
Enrique Fernández‐Cara
José R. Galo
M. Marín
+ Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations 1998 Yinnian He
Kaitai Li
+ Efficient numerical methods for solving the Navier-Stokes equations 1986 Н.С. Бахвалов
G. M. Kobelkov
Е. В. Чижонков
+ Numerical analysis of energy-stable Crank-Nicolson finite difference schemes for the phase-field equation 2022 Huanrong Li
Dongmei Wang
+ An Analysis of the Stability and Convergence Properties of a Crank-Nicholson Algorithm for Nonlinear Elasto-Dynamics Problems 1981 L. Carter Wellford
S. M. Hamdan
+ Convergence characteristics of the Crank-Nicolson-Galerkin scheme for linear parabolic systems 2002 Jin‐Rae Cho
Dae Yul Ha
TaeJong Kim
+ None 2023
+ Fourier/Chebyshev methods for the incompressible Navier-Stokes equations in finite domains 1992 Roque Corral
Javier Jiménez
+ PDF Chat Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations 2023 Xiaodi Zhang
Xiaonian Long
+ Kinetic-based numerical schemes for incompressible Navier–Stokes equations 2006 Mapundi K. Banda
Michael Junk
Axel Klar
+ Convergence Acceleration Methods For Navier-Stokes Equations 1999 Jang-Hyuk Kwon
Chun-Ho Sung
+ PDF Chat Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions 2017 Shijin Ding
Quanrong Li
Zhouping Xin
+ The convergence of non-Newtonian fluids to Navier–Stokes equations 2009 Boling Guo
Chunxiao Guo
+ Multi-level stabilized algorithms for the stationary incompressible Navier–Stokes equations with damping 2019 Hailong Qiu
Liquan Mei

Works That Cite This (11)

Action Title Year Authors
+ Decoupled Stabilized Crank–Nicolson LeapFrog method for time-dependent Navier–Stokes/Darcy model 2021 Xiaodong Jia
Hui Feng
+ PDF Chat Decoupled Crank-Nicolson LeapFrog Methods for the Evolution Boussinesq equations 2022 Xiaofeng Jia
Hui Feng
+ Decoupled Crank–Nicolson LeapFrog method for the evolution Boussinesq equations 2023 Xiaodong Jia
Hui Feng
+ Crank–Nicolson Leap-Frog Time Stepping Decoupled Scheme for the Fluid–Fluid Interaction Problems 2020 Lingzhi Qian
Xinlong Feng
Yinnian He
+ PDF Chat A Crank–Nicolson leap-frog scheme for the unsteady incompressible magnetohydrodynamics equations 2024 Zhiyong Si
Mingyi Wang
Yunxia Wang
+ A LINEARIZED CRANK–NICOLSON/LEAPFROG SCHEME FOR THE LANDAU–LIFSHITZ EQUATION 2023 Mingru Liu
Pengzhan Huang
Yinnian He
+ PDF Chat Second-Order Convergence of the Linearly Extrapolated Crank–Nicolson Method for the Navier–Stokes Equations with $$\mathbf{H^1}$$ Initial Data 2021 Buyang Li
Shu Ma
Na Wang
+ Numerical analysis of CNLF modular Grad–Div stabilization method for time-dependent Navier–Stokes equations 2020 Xiaodong Jia
Zhuyan Tang
Hui Feng
+ Optimal convergence analysis of Crank–Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics 2018 Xiaojing Dong
Yinnian He
+ Robust Error Estimates for Second‐Order Stabilization Finite Element Method for Navier–Stokes Equations With Small Viscosity and Nonsmooth Initial Data 2024 Shuo Yang
Wansheng Wang
Chengyu Jin