An analysis of second-order sav-filtered time-stepping finite element method for unsteady natural convection problems
From MaRDI portal
Publication:6649248
DOI10.1016/j.cnsns.2024.108365MaRDI QIDQ6649248
Xinlong Feng, Mengru Jiang, Jilian Wu, Ning Li
Publication date: 5 December 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Free convection (76R10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Cites Work
- A higher-order Robert-Asselin type time filter
- A projection-based stabilized finite element method for steady-state natural convection problem
- Finite element approximation of the Navier-Stokes equations
- Modeling of natural convection with smoothed particle hydrodynamics: non-Boussinesq formulation
- Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection
- Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method
- Time filters increase accuracy of the fully implicit method
- The scalar auxiliary variable (SAV) approach for gradient flows
- Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media
- Penalty decoupled iterative methods for the stationary natural convection equations with different Rayleigh numbers
- A new efficient fully-decoupled and second-order time-accurate scheme for Cahn-Hilliard phase-field model of three-phase incompressible flow
- An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations
- Numerical approximations of the Navier-Stokes equation coupled with volume-conserved multi-phase-field vesicles system: fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme
- A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation
- A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model
- A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations
- Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations
- Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
- The time filter for the non-stationary coupled Stokes/Darcy model
- Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems
- Novel fractional time-stepping algorithms for natural convection problems with variable density
- Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model
- \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations
- Error analysis of a fully discrete finite element variational multiscale method for the natural convection problem
- Optimal convergence of the scalar auxiliary variable finite element method for the natural convection equations
- Error analysis for finite element methods for steady natural convection problems
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- A Second Order Ensemble Timestepping Algorithm for Natural Convection
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- Computational predictability of time‐dependent natural convection flows in enclosures (including a benchmark solution)
- New development in freefem++
- On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model
- New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis
- Analysis of divergence-free 𝐻¹ conforming FEM with IMEX-SAV scheme for the Navier-Stokes equations at high Reynolds number
- Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows
- A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows
- A discrete Hopf interpolant and stability of the finite element method for natural convection
- An analysis of the Robert–Asselin time filter for the correction of nonphysical acoustics in an artificial compression method
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
- Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem
- Numerical analysis of modular regularization methods for the BDF2 time discretization of the Navier-Stokes equations
- A minimal stabilisation procedure for mixed finite element methods
- Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems
- A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier–Stokes equations
- Unconditional stability of first and second orders implicit/explicit schemes for the natural convection equations
- An unconditionally energy stable finite element scheme for a nonlinear fluid-fluid interaction model
This page was built for publication: An analysis of second-order sav-filtered time-stepping finite element method for unsteady natural convection problems
