Discontinuous Galerkin methods for hypersonic flows
DS Hoskin, RL Van Heyningen, NC Nguyen… - Progress in Aerospace …, 2024 - Elsevier
In recent years, high-order discontinuous Galerkin (DG) methods have emerged as an
attractive approach for numerical simulations of compressible flows. This paper presents an …
attractive approach for numerical simulations of compressible flows. This paper presents an …
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 …
Unstructured h-and hp-adaptive strategies for discontinuous Galerkin methods based on a posteriori error estimation for compressible flows
F Basile, JB Chapelier, M de la Llave Plata… - Computers & …, 2022 - Elsevier
In this paper, we present h-and hp-adaptive strategies suited for the discontinuous Galerkin
formulation of the compressible laminar and Reynolds-averaged Navier–Stokes equations …
formulation of the compressible laminar and Reynolds-averaged Navier–Stokes equations …
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 …
A bi-fidelity ensemble Kalman method for PDE-constrained inverse problems in computational mechanics
Mathematical modeling and simulation of complex physical systems based on partial
differential equations (PDEs) have been widely used in engineering and industrial …
differential equations (PDEs) have been widely used in engineering and industrial …
[图书][B] Anisotropic hp-Mesh Adaptation Methods
V Dolejší, G May - 2022 - Springer
Partial differential equations (PDE) govern many problems of scientific and engineering
interest. Consequently, numerical solution of PDE has become a key technology in the …
interest. Consequently, numerical solution of PDE has become a key technology in the …
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 …
Conservative solution transfer between anisotropic meshes for time‐accurate hybridized discontinuous Galerkin methods
T Levý, G May - International Journal for Numerical Methods in …, 2024 - Wiley Online Library
We present a hybridized discontinuous Galerkin (HDG) solver for general time‐dependent
balance laws. In particular, we focus on a coupling of the solution process for unsteady …
balance laws. In particular, we focus on a coupling of the solution process for unsteady …
An anisotropic recovery-based error estimator for adaptive discontinuous Galerkin methods
We present a new recovery-based anisotropic error estimator for discontinuous Galerkin
finite element approximations of advection-diffusion problems. We propose a metric-based …
finite element approximations of advection-diffusion problems. We propose a metric-based …