A set of parallel, implicit methods for a reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids

Y Xia, H Luo, M Frisbey, R Nourgaliev - Computers & Fluids, 2014 - Elsevier
A set of implicit methods are proposed for a third-order hierarchical WENO reconstructed
discontinuous Galerkin method for compressible flows on 3D hybrid grids. An attractive …

A comparative study of Rosenbrock-type and implicit Runge-Kutta time integration for discontinuous Galerkin method for unsteady 3D compressible Navier-Stokes …

X Liu, Y Xia, H Luo, L Xuan - Communications in Computational …, 2016 - cambridge.org
A comparative study of two classes of third-order implicit time integration schemes is
presented for a third-order hierarchical WENO reconstructed discontinuous Galerkin (rDG) …

Robust implicit direct discontinuous Galerkin method for simulating the compressible turbulent flows

Y Xiaoquan, J Cheng, H Luo, Q Zhao - AIAA Journal, 2019 - arc.aiaa.org
This paper proposes a robust and accurate implicit direct discontinuous Galerkin (DDG)
method for simulating laminar and turbulent flows. The Reynolds averaged Navier–Stokes …

Fully-implicit orthogonal reconstructed Discontinuous Galerkin method for fluid dynamics with phase change

R Nourgaliev, H Luo, B Weston, A Anderson… - Journal of …, 2016 - Elsevier
A new reconstructed Discontinuous Galerkin (rDG) method, based on orthogonal basis/test
functions, is developed for fluid flows on unstructured meshes. Orthogonality of basis …

OpenACC acceleration of an unstructured CFD solver based on a reconstructed discontinuous Galerkin method for compressible flows

Y Xia, J Lou, H Luo, J Edwards… - International Journal for …, 2015 - Wiley Online Library
An OpenACC directive‐based graphics processing unit (GPU) parallel scheme is presented
for solving the compressible Navier–Stokes equations on 3D hybrid unstructured grids with …

A third‐order implicit discontinuous Galerkin method based on a Hermite WENO reconstruction for time‐accurate solution of the compressible Navier–Stokes …

Y Xia, X Liu, H Luo, R Nourgaliev - International Journal for …, 2015 - Wiley Online Library
A space and time third‐order discontinuous Galerkin method based on a Hermite weighted
essentially non‐oscillatory reconstruction is presented for the unsteady compressible Euler …

Heat transfer and pseudo phase transition for low-Reynolds, mixed-convection channel flow in the supercritical thermodynamic regime

R Barney, R Nourgaliev, R McCallen… - International Journal of …, 2021 - Elsevier
Fluids at supercritical thermodynamic conditions are inherently complex due to the large
variations in thermodynamic and transport properties. Multiple recent numerical and …

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 variational reconstructed discontinuous Galerkin method for the steady-state compressible flows on unstructured grids

J Cheng, T Liu - Journal of Computational Physics, 2019 - Elsevier
In this paper, a third-order reconstructed DG (p 1 p 2) method based on the variational
reconstruction (VR)(Wang et al., 2017 [24]) is developed for simulating the two dimensional …

A reconstructed discontinuous Galerkin method for compressible flows in Lagrangian formulation

C Wang, H Luo, M Shashkov - Computers & Fluids, 2020 - Elsevier
A high-order accurate reconstructed discontinuous Galerkin (rDG) method is developed for
solving two-dimensional hydrodynamic problems in cell-centered updated Lagrangian …