Output-based mesh adaptation for high order Navier-Stokes simulations on deformable domains

DOI10.1016/j.jcp.2013.06.007zbMath1349.76058OpenAlexW2091908272MaRDI QIDQ348069

Krzysztof J. Fidkowski, Steven M. Kast

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.06.007

zbMATH Keywords

discontinuous Galerkinarbitrary Lagrangian-Euleriangeometric conservation lawoutput error estimationspace-time adaptationunsteady adjoint

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

A hybridized discontinuous Galerkin method on mapped deforming domains, A high-order flux reconstruction/correction procedure via reconstruction formulation for unsteady incompressible flow on unstructured moving grids, An adjoint method for a high-order discretization of deforming domain conservation laws for optimization of flow problems, Acceleration of adjoint-based adaptation through sub-iterations, Output-based error estimation and mesh adaptation for unsteady turbulent flow simulations, Output-based space-time mesh optimization for unsteady flows using continuous-in-time adjoints, An adjoint-based hp-adaptive stabilized finite-element method with shock capturing for turbulent flows

Uses Software

• revolve

Cites Work

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• Output-based space-time mesh adaptation for the compressible Navier-Stokes equations
• Discontinuous Galerkin solution of the Navier-Stokes equations on deformable domains
• Local-in-time adjoint-based method for design optimization of unsteady flows
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
• Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations.
• Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows.
• An adjoint method for shape optimization in unsteady viscous flows
• Time accurate anisotropic goal-oriented mesh adaptation for unsteady flows
• ``Natural norm a posteriori error estimators for reduced basis approximations
• Error estimation and adaptation for functional outputs in time-dependent flow problems
• Output error estimation strategies for discontinuous Galerkin discretizations of unsteady convection-dominated flows
• Space-Time Error Representation and Estimation in Navier-Stokes Calculations
• An optimal control approach to a posteriori error estimation in finite element methods
• Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
• Why Nonconservative Schemes Converge to Wrong Solutions: Error Analysis
• Algorithm 799: revolve
• Adjoint Recovery of Superconvergent Functionals from PDE Approximations
• Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow
• Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems