Convergence analysis of high-order IMEX-BDF schemes for the incompressible Navier-Stokes equations (Q6566978)

scientific article; zbMATH DE number 7875896

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English	Convergence analysis of high-order IMEX-BDF schemes for the incompressible Navier-Stokes equations	scientific article; zbMATH DE number 7875896

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scholarly article

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title

Convergence analysis of high-order IMEX-BDF schemes for the incompressible Navier-Stokes equations (English)

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4 July 2024

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zbMATH Keywords

incompressible Navier-Stokes equations

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high-order BDF methods

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discrete orthogonal convolution kernels

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error estimate

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Publication

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cites work

Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations

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Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations

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Second-order convergence of the linearly extrapolated Crank-Nicolson method for the Navier-Stokes equations with \(H^1\) initial data

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A Semi-implicit Exponential Low-Regularity Integrator for the Navier--Stokes Equations

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Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations

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New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis

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Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable

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Hp-adaptive time integration based on the BDF for viscous flows

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On a Higher Order Accurate Fully Discrete Galerkin Approximation to the Navier-Stokes Equations

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On the solution of the Navier-Stokes equations using Chebyshev projection schemes with third-order accuracy in time

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A Variable Stepsize, Variable Order Family of Low Complexity

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Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier--Stokes Equations with Periodic Boundary Conditions

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A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics

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Multiplier techniques for linear multistep methods

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Backward difference time discretization of parabolic differential equations on evolving surfaces

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An adaptive BDF2 implicit time-stepping method for the phase field crystal model

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Energy stability of BDF methods up to fifth-order for the molecular beam epitaxial model without slope selection

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Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model

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Spectral Methods

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Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation

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A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method

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An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

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A novel parameter-uniform numerical method for a singularly perturbed Volterra integro-differential equation

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Q5118480

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An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations

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A second-order projection method for the incompressible Navier-Stokes equations

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Performance of under-resolved two-dimensional incompressible flow simulations. II

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An upwind compact difference scheme for solving the streamfunction-velocity formulation of the unsteady incompressible Navier-Stokes equation

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A less time-consuming upwind compact difference method with adjusted dissipation property for solving the unsteady incompressible Navier-Stokes equations

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A higher-order compact finite difference algorithm for solving the incompressible Navier-Stokes equations

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Robust error bounds for the Navier–Stokes equations using implicit-explicit second-order BDF method with variable steps

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Moving Mesh Finite Element Methods for the Incompressible Navier--Stokes Equations

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.COMPFLUID.2024.106251

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Sitelinks

Mathematics(1 entry)

mardi Publication:6566978