Mixed stabilized finite element methods based on backward difference/Adams-Bashforth scheme for the time-dependent variable density incompressible flows

DOI10.1016/j.camwa.2015.09.021zbMath1443.65213OpenAlexW2184096377MaRDI QIDQ2006535

Ying Li, Liquan Mei, Jian Li, Yingping Li

Publication date: 11 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.09.021

zbMATH Keywords

variable density flowspressure projectionequal order pairsmixed stabilized finite elementsecond-order BDF/AB scheme

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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)

Related Items

Adaptive stabilized finite volume method and convergence analysis for the Oseen equations, Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method, Error analysis of a unconditionally stable BDF2 finite element scheme for the incompressible flows with variable density, Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model, Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions, Filtered time-stepping method for incompressible Navier-Stokes equations with variable density, A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An extended residual-based variational multiscale method for two-phase flow including surface tension
• A high-order projection method for tracking fluid interfaces in variable density incompressible flows
• A new stabilized finite element method for the transient Navier-Stokes equations
• Gauge-Uzawa methods for incompressible flows with variable density
• An hybrid finite volume-finite element method for variable density incompressible flows
• A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
• A splitting method for incompressible flows with variable density based on a pressure Poisson equation
• Numerical simulations of the Rayleigh-Taylor instability
• A second-order projection method for variable-density flows
• A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
• Extension of finite volume compressible flow solvers to multi-dimensional, variable density zero Mach number flows
• Theory and practice of finite elements.
• An overview of projection methods for incompressible flows
• A stabilized finite element method based on two local Gauss integrations for the Stokes equations
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Approximation of variable density incompressible flows by means of finite elements and finite volumes
• Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density
• The intrinsic XFEM for two-fluid flows
• Fourier analysis of an equal-order incompressible flow solver stabilized by pressure gradient projection
• A stabilized finite element method for the Stokes problem based on polynomial pressure projections
• Stabilization of Galerkin approximations of transport equations by subgrid modeling
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
• On the Convergence of Discrete Approximations to the Navier-Stokes Equations
• Numerical Solution of the Navier-Stokes Equations
• Finite Element Methods and Their Applications
• A projection FEM for variable-density incompressible flows