A review and comparison of error estimators for anisotropic mesh adaptation for flow simulations
Automated mesh adaptation is known to be an efficient way to control discretization errors in
Computational Fluid Dynamics (CFD) simulations. It offers the added advantage that the …
Computational Fluid Dynamics (CFD) simulations. It offers the added advantage that the …
Provably convergent anisotropic output-based adaptation for continuous finite element discretizations
HA Carson - 2020 - dspace.mit.edu
The expansion of modern computing power has seen a commensurate rise in the reliance
on numerical simulations for engineering and scientific purposes. Output error estimation …
on numerical simulations for engineering and scientific purposes. Output error estimation …
Anisotropic mesh adaptation for high-order finite elements spaces with the log-simplex method. Application to discontinuous Galerkin methods
O Coulaud, A Loseille, P Schrooyen - Journal of Computational Physics, 2024 - Elsevier
In this article, a high-order solution-based mesh adaptation method is investigated. This
later, which is called the log-simplex method, relies on the approximation of high-order …
later, which is called the log-simplex method, relies on the approximation of high-order …
A hybridized discontinuous Galerkin solver for high-speed compressible flow
We present a high-order consistent compressible flow solver, based on a hybridized
discontinuous Galerkin (HDG) discretization, for applications covering subsonic to …
discontinuous Galerkin (HDG) discretization, for applications covering subsonic to …
Adjoint-based anisotropic hp-adaptation for discontinuous Galerkin methods using a continuous mesh model
A Rangarajan, G May, V Dolejsi - Journal of Computational Physics, 2020 - Elsevier
In this paper we propose an adjoint-based hp-adaptation method for conservation laws, and
corresponding numerical schemes based on piecewise polynomial approximation spaces …
corresponding numerical schemes based on piecewise polynomial approximation spaces …
Verification of anisotropic mesh adaptation for complex aerospace applications
The stabilized finite element solver, FUN3D-SFE, along with the grid mechanics
package\refine are verified for aerospace applications of laminar and turbulent flow …
package\refine are verified for aerospace applications of laminar and turbulent flow …
An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control
V Dolejší, G May - Journal of Scientific Computing, 2023 - Springer
We propose an efficient mesh adaptive method for the numerical solution of time-dependent
partial differential equations considered in the fixed space-time cylinder Ω×(0, T). We employ …
partial differential equations considered in the fixed space-time cylinder Ω×(0, T). We employ …
Metric-based anisotropic mesh adaptation for viscoelastic flows
S Wittschieber, A Rangarajan, G May, M Behr - Computers & Mathematics …, 2023 - Elsevier
The computation of flows of viscoelastic fluids is expensive compared to standard fluids.
Besides degrees-of-freedom for velocity and pressure, the viscoelastic stresses introduce an …
Besides degrees-of-freedom for velocity and pressure, the viscoelastic stresses introduce an …
An anisotropic h-adaptive strategy for discontinuous Petrov-Galerkin schemes using a continuous mesh model
A Chakraborty, AM Rangarajan, G May - Computers & Mathematics with …, 2022 - Elsevier
Abstract Certain Petrov-Galerkin schemes deliver inherently stable formulations of
variational problems on a given mesh by selecting appropriate pairs of trial and test spaces …
variational problems on a given mesh by selecting appropriate pairs of trial and test spaces …
A continuous hp-mesh model for discontinuous Petrov-Galerkin finite element schemes with optimal test functions
A Chakraborty, G May - Computers & Mathematics with Applications, 2023 - Elsevier
We present an anisotropic hp-mesh adaptation strategy using a continuous mesh model for
discontinuous Petrov-Galerkin (DPG) finite element schemes with optimal test functions …
discontinuous Petrov-Galerkin (DPG) finite element schemes with optimal test functions …