The semi-implicit DLN algorithm for the Navier-Stokes equations
DOI10.1007/s11075-024-01766-3MaRDI QIDQ6653269
Publication date: 16 December 2024
Published in: Numerical Algorithms (Search for Journal in Brave)
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Extrapolation to the limit, deferred corrections (65B05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Cites Work
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- Finite element approximation of the Navier-Stokes equations
- Adaptive time step control for the incompressible Navier-Stokes equations
- The stabilized extrapolated trapezoidal finite element method for the Navier-Stokes equations
- A\(_ 0\)-stability of variable stepsize BDF methods
- Modular nonlinear filter stabilization of methods for higher Reynolds numbers flow
- On the zero-stability of the 3-step BDF-formula on nonuniform grids
- On the zero stability of the variable order variable stepsize BDF- formulas
- Time filters increase accuracy of the fully implicit method
- Numerical analysis of an artificial compression method for magnetohydrodynamic flows at low magnetic Reynolds numbers
- Stability and convergence of the two-step BDF for the incompressible Navier-Stokes problem
- A variable time-stepping algorithm for the unsteady Stokes/Darcy model
- Refactorization of Cauchy's method: a second-order partitioned method for fluid-thick structure interaction problems
- Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna
- Adaptive, second-order, unconditionally stable partitioned method for fluid-structure interaction
- Adaptive partitioned methods for the time-accurate approximation of the evolutionary Stokes-Darcy system
- Refactorization of the midpoint rule
- Analysis of second order time filtered backward Euler method for MHD equations
- Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator
- Stability and error of the variable two-step BDF for semilinear parabolic problems
- Mechanism of the production of small eddies from large one.
- Finite Element Methods for Incompressible Flow Problems
- AN ALGORITHM FOR FAST CALCULATION OF FLOW ENSEMBLES
- Stability of Two-Step Methods for Variable Integration Steps
- G-stability is equivalent toA-stability
- Adaptive Time-Stepping for Incompressible Flow Part II: Navier–Stokes Equations
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- On a Higher Order Accurate Fully Discrete Galerkin Approximation to the Navier-Stokes Equations
- Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
- One-leg Integration of Ordinary Differential Equations with Global Error Control
- An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
- Error of the two-step BDF for the incompressible Navier-Stokes problem
- Adaptive Time-Stepping for Incompressible Flow Part I: Scalar Advection-Diffusion
- Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow
- Numerical analysis of a corrected Smagorinsky model
- An adaptive time-stepping DLN decoupled algorithm for the coupled Stokes-Darcy model
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