A time viscosity-splitting method for incompressible flows with temperature-dependent viscosity and thermal conductivity
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Publication:6588259
DOI10.1016/J.CMA.2024.117103MaRDI QIDQ6588259
Mofdi El-Amrani, Anouar Obbadi, Mohammed Seaïd, Driss Yakoubi
Publication date: 15 August 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Navier-Stokes equationsnatural convectionerror analysisfractional time-steppingviscosity-splitting method
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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
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- The second order projection method in time for the time-dependent natural convection problem.
- On error estimates of the projection method for the time-dependent natural convection problem: first order scheme
- Boundary conditions for incompressible flows
- High-order splitting methods for the incompressible Navier-Stokes equations
- Numerical study on mode-transition of natural convection in differentially heated inclined enclosures
- Remarks on the pressure error estimates for the projection methods
- A fractional four-step finite element formulation of the unsteady incompressible Navier-Stokes equations using SUPG and linear equal-order element methods
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- A second-order projection method for the incompressible Navier-Stokes equations
- Error estimates for an operator-splitting method for incompressible flows
- Stationary solutions for generalized Boussinesq models
- A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations
- Density results in Sobolev spaces whose elements vanish on a part of the boundary
- Well-posedness of a semi-discrete Navier-Stokes/Allen-Cahn model
- A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations
- Existence and nonuniqueness of rectangular solutions of the Benard problem
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
- Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
- New error estimates for a viscosity-splitting scheme in time for the three-dimensional Navier-Stokes equations
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- WELL-POSEDNESS OF THE INFINITE PRANDTL NUMBER MODEL FOR CONVECTION WITH TEMPERATURE-DEPENDENT VISCOSITY
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- A unified fractional step method for compressible and incompressible flows, heat transfer and incompressible solid mechanics
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Viscosity‐splitting scheme for the Navier‐Stokes equations
- On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
- On stability and convergence of projection methods based on pressure Poisson equation
- A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm
- Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
- Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations
- Natural convection in a sidewall heated cube using an immersed boundary method
- Unsteady natural convection in tall side‐heated cavities
- On the error estimates for the rotational pressure-correction projection methods
- Couplage des équations de Navier-Stokes et de la chaleur : le modèle et son approximation par éléments finis
- On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
- Mixed Finite Element Methods and Applications
- Finite element simulation of transient natural convection of low‐Prandtl‐number fluids in heated cavity
- A Coupled Prediction Scheme for Solving the Navier--Stokes and Convection-Diffusion Equations
- Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem
- Free Convection Film Flows and Heat Transfer
- Numerical Solution of the Navier-Stokes Equations
- AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
- Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Error estimates of an operator‐splitting finite element method for the time‐dependent natural convection problem
- Enhancing the viscosity-splitting method to solve the time-dependent Navier-Stokes equations
- Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows
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