This paper proposes a robust and accurate implicit direct discontinuous Galerkin (DDG)
method for simulating laminar and turbulent flows. The Reynolds averaged Navier–Stokes …

A new reconstructed Discontinuous Galerkin (rDG) method, based on orthogonal basis/test
functions, is developed for fluid flows on unstructured meshes. Orthogonality of basis …

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 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 …

In this study, a high-order implicit least squares-based finite difference-finite volume (ILSFD-
FV) method with a lattice Boltzmann flux solver is presented for the simulation of two …

A new reconstructed discontinuous Galerkin (rDG) method based on variational formulation
is developed for compressible flows. In the presented method, a higher-order piece-wise …

A reconstructed direct discontinuous Galerkin method is developed and evaluated for
simulating the compressible laminar and turbulent flows on hybrid grids. The spatial …

In this paper, we propose a new hyperbolic Navier-Stokes formulation and develop efficient
highorder reconstructed discontinuous Galerkin schemes for solving the compressible …

We discuss two approaches for the formulation and implementation of space-time
discontinuous Galerkin spectral element methods (DG-SEM). In one, time is treated as an …

A third-order accurate reconstructed discontinuous Galerkin method, namely rDG (P 1 P 2),
is presented to solve the Reynolds-Averaged Navier–Stokes (RANS) equations, along with …