Parallel adaptive mesh refinement for incompressible flow problems

DOI10.1016/j.compfluid.2012.01.023zbMath1284.76096OpenAlexW2028535492MaRDI QIDQ2446655

J. Cotela, Pooyan Dadvand, N. M. Lafontaine, Sergio Rodolfo Idelsohn, Riccardo Rossi

Publication date: 17 April 2014

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/117603

zbMATH Keywords

adaptive mesh refinementparallel computingincompressible Navier-Stokessubgrid error estimation

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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Variational multiscale a posteriori error estimation for systems: the Euler and Navier-Stokes equations, A review of VMS a posteriori error estimation with emphasis in fluid mechanics, Variational multiscale error estimators for the adaptive mesh refinement of compressible flow simulations, A posteriori error estimation and adaptivity based on VMS for the incompressible Navier-Stokes equations, Variational multiscale error estimators for solid mechanics adaptive simulations: an orthogonal subgrid scale approach

Uses Software

• Trilinos
• libMesh
• KRATOS

Cites Work

• An adaptive finite-element strategy for the three-dimensional time- dependent Navier-Stokes equations
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
• The variational multiscale method -- a paradigm for computational mechanics
• Algorithms and data structures for 2D and 3D adaptive finite element mesh refinement
• Adaptive refinement of unstructured finite-element meshes
• Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
• Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
• A recursive approach to local mesh refinement in two and three dimensions
• An object-oriented environment for developing finite element codes for multi-disciplinary applications
• The multiscale approach to error estimation and adaptivity
• Finite element formulation for convective-diffusive problems with sharp gradients using finite calculus
• Stabilized formulation for the advection-diffusion-absorption equation using finite calculus and linear finite elements
• Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
• Influence functions and goal-oriented error estimation for finite element analysis of shell structures
• An overview of the Trilinos project
• Mesh Refinement Processes Based on the Generalized Bisection of Simplices
• Quality Local Refinement of Tetrahedral Meshes Based on Bisection
• Parallel refinement and coarsening of tetrahedral meshes
• Computation of turbulent flows using a finite calculus–finite element formulation
• A stabilized finite element method for generalized stationary incompressible flows