Error analysis of energy-conservative BDF2-FE scheme for the 2D Navier-Stokes equations with variable density
DOI10.1016/j.cnsns.2024.108093MaRDI QIDQ6591756
Publication date: 22 August 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Lagrange interpolationunconditional energy stabilitysecond-order linearized finite element methodsmooth strong solutionTaylor-Hood/conforming finite element space
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element methods applied to problems in fluid mechanics (76M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Unnamed Item
- A new fractional time-stepping method for variable density incompressible flows
- Gauge-Uzawa methods for incompressible flows with variable density
- A fractional step method based on a pressure Poisson equation for incompressible flows with variable density
- A splitting method for incompressible flows with variable density based on a pressure Poisson equation
- Analysis of an iterative method for variable density incompressible fluids
- A second-order projection method for variable-density flows
- Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
- A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
- Existence of solution for a density-dependent magnetohydrodynamic equation
- Maximum-norm stability of the finite element Stokes projection
- Mixed stabilized finite element methods based on backward difference/Adams-Bashforth scheme for the time-dependent variable density incompressible flows
- Temporal error analysis of Euler semi-implicit scheme for the magnetohydrodynamics equations with variable density
- A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density
- Density-dependent incompressible fluids in bounded domains
- Gauge method for viscous incompressible flows
- Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density
- Stabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equations
- Convergence of Numerical Approximations of the Incompressible Navier–Stokes Equations with Variable Density and Viscosity
- Finite Element Methods for Navier-Stokes Equations
- STABILITY OF HIGHER ORDER TRIANGULAR HOOD-TAYLOR METHODS FOR THE STATIONARY STOKES EQUATIONS
- Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions
- The Mathematical Theory of Finite Element Methods
- Galerkin Finite Element Methods for Parabolic Problems
- A projection FEM for variable-density incompressible flows
- Error analysis of a unconditionally stable BDF2 finite element scheme for the incompressible flows with variable density
- Temporal error analysis of a new Euler semi-implicit scheme for the incompressible Navier-Stokes equations with variable density
This page was built for publication: Error analysis of energy-conservative BDF2-FE scheme for the 2D Navier-Stokes equations with variable density