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

DOI10.1137/21M1404144zbMath1496.65180arXiv2103.11025MaRDI QIDQ5020747

Jie Shen, Fukeng Huang

Publication date: 7 January 2022

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.11025

zbMATH Keywords

stabilityerror analysisNavier-Stokes equationhigh-order methodimplicit-explicit schemeFourier-Galerkin method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Spectral methods applied to problems in fluid mechanics (76M22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (11)

A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD ⋮ A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics ⋮ Analysis of divergence-free 𝐻¹ conforming FEM with IMEX-SAV scheme for the Navier-Stokes equations at high Reynolds number ⋮ A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier–Stokes equations ⋮ Numerical analysis of the SAV scheme for the EMAC formulation of the time-dependent Navier-Stokes equations ⋮ Efficient and accurate exponential SAV algorithms with relaxation for dissipative system ⋮ Error estimate of a consistent splitting GSAV scheme for the Navier-Stokes equations ⋮ Stability and error estimates of high order BDF-LDG discretizations for the Allen-Cahn equation ⋮ Bound/positivity preserving SAV schemes for the Patlak-Keller-Segel-Navier-Stokes system ⋮ Fast High Order and Energy Dissipative Schemes with Variable Time Steps for Time-Fractional Molecular Beam Epitaxial Growth Model ⋮ New efficient and unconditionally energy stable schemes for the Cahn-Hilliard-Brinkman system

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