Adjoint-based \textit{hp}-adaptivity on anisotropic meshes for high-order compressible flow simulations

DOI10.1016/j.compfluid.2016.03.029zbMath1390.76289OpenAlexW2312782934MaRDI QIDQ1647095

Aravind Balan, Georg May, Michael Woopen

Publication date: 26 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.compfluid.2016.03.029

zbMATH Keywords

discontinuous Galerkin methodscompressible flowanisotropic elementshybridizationadjoint-based error-estimation\(hp\)-adaptation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Compressible fluids and gas dynamics (76Nxx)

Related Items (13)

Goal-oriented anisotropic \(hp\)-adaptive discontinuous Galerkin method for the Euler equations ⋮ Anisotropic \(hp\)-mesh optimization technique based on the continuous mesh and error models ⋮ A review and comparison of error estimators for anisotropic mesh adaptation for flow simulations ⋮ Goal-oriented error analysis of iterative Galerkin discretizations for nonlinear problems including linearization and algebraic errors ⋮ A unified \textit{hp}-HDG framework for Friedrichs' PDE systems ⋮ A goal-oriented anisotropic \(hp\)-mesh adaptation method for linear convection-diffusion-reaction problems ⋮ r-adaptive algorithms for supersonic flows with high-order flux reconstruction methods ⋮ An optimization-based framework for anisotropic \(hp\)-adaptation of high-order discretizations ⋮ Goal-oriented mesh adaptation method for nonlinear problems including algebraic errors ⋮ On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates ⋮ A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems ⋮ Unstructured \(h\)- and \textit{hp}-adaptive strategies for discontinuous Galerkin methods based on \textit{a posteriori} error estimation for compressible flows ⋮ Anisotropic mesh generation and adaptation for quads using the \(L_p\)-CVT method

Uses Software

• Netgen
• bamg

Cites Work

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