Stabilised DG-FEM for incompressible natural convection flows with boundary and moving interior layers on non-adapted meshes
From MaRDI portal
Publication:1685469
DOI10.1016/j.jcp.2017.01.055zbMath1380.65286arXiv1610.05565OpenAlexW2532749652MaRDI QIDQ1685469
Gert Lube, Philipp W. Schroeder
Publication date: 14 December 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.05565
discontinuous Galerkin methoddifferentially heated square cavitygrad-div stabilisationmelting of pure galliumpressure jump stabilisationweakly non-isothermal incompressible flow
Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
Related Items
A unified framework of continuous and discontinuous Galerkin methods for solving the incompressible Navier-Stokes equation, High-order arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the incompressible Navier-Stokes equations, Finite element approximation of dielectrophoretic force driven flow problems, Mixed-primal methods for natural convection driven phase change with Navier-Stokes-Brinkman equations, A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow, A fully-mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent parameters, A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem, The analogue of grad-div stabilization in DG methods for incompressible flows: limiting behavior and extension to tensor-product meshes, Grad-div stabilization for the time-dependent Boussinesq equations with inf-sup stable finite elements, Stability and finite element approximation of phase change models for natural convection in porous media, New mixed finite element methods for natural convection with phase-change in porous media, An analysis of weak Galerkin finite element method for a steady state Boussinesq problem
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- SUNDIALS
- Deforming fluid domains within the finite element method: five mesh-based tracking methods in comparison
- On the parameter choice in grad-div stabilization for the Stokes equations
- High-accuracy bench mark solutions to natural convection in a square cavity
- A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure
- An equal-order DG method for the incompressible Navier-Stokes equations
- Mathematical aspects of discontinuous Galerkin methods.
- Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations
- Collision in a cross-shaped domain - A steady 2D Navier-Stokes example demonstrating the importance of mass conservation in CFD
- Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
- Joseph Boussinesq and his approximation: a contemporary view
- A Newton method with adaptive finite elements for solving phase-change problems with natural convection
- On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime
- Accurate solutions to the square thermally driven cavity at high Rayleigh number
- A numerical method to compute solidification and melting processes
- The validity of the Boussinesq approximation for liquids and gases
- Numerical simulation of convection/diffusion phase change problems -- a review
- Anisotropic mesh adaptation for the solution of the Stefan problem.
- Efficient sparse LU factorization with left-right looking strategy on shared memory multiprocessors
- On velocity errors due to irrotational forces in the Navier-Stokes momentum balance
- The local discontinuous Galerkin method for linearized incompressible fluid flow: a review
- Numerical simulation of two-phase free surface flows
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors
- Stabilized hp-DGFEM for Incompressible Flow
- A Connection Between Scott–Vogelius and Grad-Div Stabilized Taylor–Hood FE Approximations of the Navier–Stokes Equations
- A steepest gradient method for optimum structural design
- Stabilized finite element methods to predict ventilation efficiency and thermal comfort in buildings
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- A Robust Numerical Method for Stokes Equations Based on Divergence-FreeH(div) Finite Element Methods
- Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
- A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity
- An enthalpy method for convection/diffusion phase change
- An Interior Penalty Finite Element Method with Discontinuous Elements
- From onset of unsteadiness to chaos in a differentially heated square cavity
- Natural convection flow in a square cavity revisited: Laminar and turbulent models with wall functions
- Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems
- Superconvergence and H(div) projection for discontinuous Galerkin methods
- The extended finite element method (XFEM) for solidification problems
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS
- Performance of Discontinuous Galerkin Methods for Elliptic PDEs
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
- Mixed Finite Element Methods and Applications
- Fluid Mechanics
- Temporal accuracy analysis of phase change convection simulations using the JFNK‐SIMPLE algorithm
- Spectral element benchmark simulations of natural convection in two‐dimensional cavities
