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 …

Comparison of ROW, ESDIRK, and BDF2 for unsteady flows with the high-order flux reconstruction formulation

L Wang, M Yu - Journal of Scientific Computing, 2020 - Springer
We conduct a comparative study of the Jacobian-free linearly implicit Rosenbrock–Wanner
(ROW) methods, the explicit first stage, singly diagonally implicit Runge–Kutta (ESDIRK) …

Robustness and efficiency of an implicit time-adaptive discontinuous Galerkin solver for unsteady flows

G Noventa, F Massa, S Rebay, F Bassi, A Ghidoni - Computers & Fluids, 2020 - Elsevier
High-fidelity fluid dynamics simulations of unsteady flows are nowadays of great interest for
many industrial fields. This class of simulations, as they are characterized by a wide range of …

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 …

On the efficiency of a matrix-free linearly implicit time integration strategy for high-order discontinuous Galerkin solutions of incompressible turbulent flows

M Franciolini, A Crivellini, A Nigro - Computers & Fluids, 2017 - Elsevier
The paper aims at investigating and comparing the efficiency of matrix-based and matrix-
free implementations of implicit time integration strategies, here linearly implicit Rosenbrock …

A vertex-centered finite volume method with interface sharpening technique for compressible two-phase flows

L Li, R Löhner, AK Pandare, H Luo - Journal of Computational Physics, 2022 - Elsevier
A robust and efficient finite volume method with interface sharpening technique has been
developed to solve the six-equation multi-fluid single-pressure model for compressible two …

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 …

On underresolved simulations of compressible turbulence using an entropy-bounded DG method: Solution stabilization, scheme optimization, and benchmark against …

Y Lv, PC Ma, M Ihme - Computers & Fluids, 2018 - Elsevier
This work focuses on assessing a set of discontinuous Galerkin (DG) discretization methods
for high-fidelity simulations of compressible turbulence, considering a range of conditions …