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 registration method for model order reduction: data compression and geometry reduction
T Taddei - SIAM Journal on Scientific Computing, 2020 - SIAM
We propose a general---ie, independent of the underlying equation---registration method for
parameterized model order reduction. Given the spatial domain Ω⊂R^d and the manifold …
parameterized model order reduction. Given the spatial domain Ω⊂R^d and the manifold …
Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking
MA Mirhoseini, MJ Zahr - Journal of Computational Physics, 2023 - Elsevier
This work introduces a new approach to reduce the computational cost of solving partial
differential equations (PDEs) with convection-dominated solutions: model reduction with …
differential equations (PDEs) with convection-dominated solutions: model reduction with …
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method
A novel framework for resolving discontinuous solutions of conservation laws, eg, contact
lines, shock waves, and interfaces, using implicit tracking and a high-order discontinuous …
lines, shock waves, and interfaces, using implicit tracking and a high-order discontinuous …
A moving discontinuous Galerkin finite element method for flows with interfaces
A Corrigan, AD Kercher… - International Journal for …, 2019 - Wiley Online Library
A moving discontinuous Galerkin finite element method with interface condition enforcement
is formulated for flows with discontinuous interfaces. The underlying weak formulation …
is formulated for flows with discontinuous interfaces. The underlying weak formulation …
Sparse invariant domain preserving discontinuous Galerkin methods with subcell convex limiting
W Pazner - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
In this paper, we develop high-order nodal discontinuous Galerkin (DG) methods for
hyperbolic conservation laws that satisfy invariant domain preserving properties using …
hyperbolic conservation laws that satisfy invariant domain preserving properties using …
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs
We propose a model reduction procedure for rapid and reliable solution of parameterized
hyperbolic partial differential equations. Due to the presence of parameter-dependent shock …
hyperbolic partial differential equations. Due to the presence of parameter-dependent shock …
High-order implicit shock tracking boundary conditions for flows with parametrized shocks
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 …
A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows
High-order implicit shock tracking (fitting) is a new class of numerical methods to
approximate solutions of conservation laws with non-smooth features, eg, contact lines …
approximate solutions of conservation laws with non-smooth features, eg, contact lines …
The moving discontinuous Galerkin finite element method with interface condition enforcement for compressible viscous flows
AD Kercher, A Corrigan… - International Journal for …, 2021 - Wiley Online Library
The moving discontinuous Galerkin finite element method with interface condition
enforcement is applied to the case of viscous flows. This method uses a weak formulation …
enforcement is applied to the case of viscous flows. This method uses a weak formulation …