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 space-time high-order implicit shock tracking method for shock-dominated unsteady flows
CJ Naudet, MJ Zahr - Journal of Computational Physics, 2024 - Elsevier
High-order implicit shock tracking (fitting) is a class of high-order, optimization-based
numerical methods to approximate solutions of conservation laws with non-smooth features …
numerical methods to approximate solutions of conservation laws with non-smooth features …
The moving discontinuous Galerkin method with interface condition enforcement for the simulation of hypersonic, viscous flows
EJ Ching, AD Kercher, A Corrigan - Computer Methods in Applied …, 2024 - Elsevier
The moving discontinuous Galerkin method with interface condition enforcement (MDG-ICE)
is a high-order, r-adaptive method that treats the grid as a variable and weakly enforces the …
is a high-order, r-adaptive method that treats the grid as a variable and weakly enforces the …
The moving discontinuous galerkin method with interface condition enforcement for robust simulations of high-speed viscous flows
EJ Ching, AD Kercher, AT Corrigan - AIAA SCITECH 2023 Forum, 2023 - arc.aiaa.org
View Video Presentation: https://doi. org/10.2514/6.2023-1975. vid The moving
discontinuous Galerkin method with interface condition enforcement (MDG-ICE) is a high …
discontinuous Galerkin method with interface condition enforcement (MDG-ICE) is a high …
Adjoint-based goal-oriented implicit shock tracking using full space mesh optimization
P Thakur, S Nadarajah - Journal of Computational Physics, 2025 - Elsevier
Solutions to the governing partial differential equations obtained from a discrete numerical
scheme can have significant errors, especially near shocks where the discrete …
scheme can have significant errors, especially near shocks where the discrete …
Preconditioned iterative solvers for constrained high-order implicit shock tracking methods
J Vandergrift, MJ Zahr - arXiv preprint arXiv:2402.18403, 2024 - arxiv.org
High-order implicit shock tracking (fitting) is a class of high-order numerical methods that use
numerical optimization to simultaneously compute a high-order approximation to a …
numerical optimization to simultaneously compute a high-order approximation to a …
The Moving Discontinuous Galerkin Method with Interface Condition Enforcement for Three-Dimensional Simulations of Viscous Flows with Strong Shocks
EJ Ching, AD Kercher, AT Corrigan - AIAA SCITECH 2024 Forum, 2024 - arc.aiaa.org
The moving discontinuous Galerkin method with interface condition enforcement (MDG-ICE)
is a high-order, r-adaptive method that treats the grid as a variable and weakly enforces the …
is a high-order, r-adaptive method that treats the grid as a variable and weakly enforces the …
[PDF][PDF] Robust High-order Implicit Shock Tracking Solvers for Shock Dominated Flows
T Huang - 2024 - curate.nd.edu
High-order methods such as discontinuous Galerkin (DG) methods [16, 33] offer a number of
advantages for high-fidelity simulation of fluid flow including high accuracy per degree of …
advantages for high-fidelity simulation of fluid flow including high accuracy per degree of …