A Lagrangian discontinuous Galerkin hydrodynamic method

X Liu, NR Morgan, DE Burton - Computers & Fluids, 2018 - Elsevier
We present a new Lagrangian discontinuous Galerkin (DG) hydrodynamic method for
solving the two-dimensional gas dynamic equations on unstructured hybrid meshes. The …

A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme

X Liu, NR Morgan, DE Burton - Journal of Computational Physics, 2019 - Elsevier
We present a Lagrangian discontinuous Galerkin (DG) hydrodynamic method that is up to
third-order accurate using subcell mesh stabilization (SMS) for compressible flows on …

High-order compact finite volume schemes for solving the Reynolds averaged Navier-Stokes equations on the unstructured mixed grids with a large aspect ratio

QM Huang, YX Ren, Q Wang, JH Pan - Journal of Computational Physics, 2022 - Elsevier
In this paper, high-order compact finite volume schemes on the unstructured grids based on
the variational reconstruction are developed to solve the Reynolds averaged Navier-Stokes …

Lagrangian discontinuous Galerkin hydrodynamic methods in axisymmetric coordinates

X Liu, NR Morgan, DE Burton - Journal of Computational Physics, 2018 - Elsevier
We present new Lagrangian discontinuous Galerkin (DG) hydrodynamic methods for
compressible flows on unstructured meshes in axisymmetric coordinates. The physical …

A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids

X Liu, NR Morgan, EJ Lieberman, DE Burton - Journal of Computational …, 2022 - Elsevier
The existing high-order Lagrangian discontinuous Galerkin (DG) hydrodynamic methods are
restricted to using quadratic meshes with quadratic polynomials (P2), which in turn, yield up …

A discontinuous Galerkin method based on variational reconstruction for compressible flows on arbitrary grids

L Li, X Liu, J Lou, H Luo, H Nishikawa… - 2018 AIAA Aerospace …, 2018 - arc.aiaa.org
A reconstructed discontinuous Galerkin (rDG) method based on a variational formulation, is
developed for compressible flows on 3D arbitrary grids. In this method, a high-order …

[HTML][HTML] An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics

T Wu, M Shashkov, N Morgan, D Kuzmin… - Computers & Mathematics …, 2019 - Elsevier
We present a new Lagrangian discontinuous Galerkin (DG) hydrodynamic method for gas
dynamics. The new method evolves conserved unknowns in the current configuration, which …

A reconstructed direct discontinuous Galerkin method for simulating the compressible laminar and turbulent flows on hybrid grids

X Yang, J Cheng, H Luo, Q Zhao - Computers & Fluids, 2018 - Elsevier
A reconstructed direct discontinuous Galerkin method is developed and evaluated for
simulating the compressible laminar and turbulent flows on hybrid grids. The spatial …

A Lagrangian discontinuous Galerkin hydrodynamic method for higher-order elements

NR Morgan, X Liu, DE Burton - 2018 AIAA Aerospace Sciences Meeting, 2018 - arc.aiaa.org
The Discontinuous Galerkin (DG) approach 1, 2 has been widely studied for high-order
solutions of the gas dynamics equations in the Eulerian framework. 3–6 As in classical finite …

A new formulation of hyperbolic Navier-Stokes solver based on finite volume method on arbitrary grids

L Li, J Lou, H Luo, H Nishikawa - 2018 Fluid Dynamics Conference, 2018 - arc.aiaa.org
In this paper, we propose a new hyperbolic Navier-Stokes formulation and develop efficient
highorder reconstructed discontinuous Galerkin schemes for solving the compressible …