Variational multiscale error estimators for the adaptive mesh refinement of compressible flow simulations

DOI10.1016/j.cma.2018.03.010zbMath1440.76050OpenAlexW2797520168MaRDI QIDQ1985594

Ramon Codina, Joan Baiges, Camilo Bayona-Roa

Publication date: 7 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/118181

zbMATH Keywords

compressible Navier-Stokes equationsadaptive mesh refinement (AMR)a-posteriori local error estimationorthogonal sub-grid scales (OSGS)variational multi-scale (VMS) method

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Compressible fluids and gas dynamics (76Nxx)

Related Items

A review of VMS a posteriori error estimation with emphasis in fluid mechanics ⋮ Variation entropy: a continuous local generalization of the TVD property using entropy principles ⋮ A posteriori error estimation and adaptivity based on VMS for the incompressible Navier-Stokes equations ⋮ Element boundary terms in reduced order models for flow problems: domain decomposition and adaptive coarse mesh hyper-reduction ⋮ Numerical study of the use of residual- and non-residual-based stabilized VMS formulations for incompressible power-law fluids

Uses Software

• RefficientLib

Cites Work

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