[PDF] Top 20 A Reconstructed Discontinuous Galerkin Method for the Compressible Euler Equations on Arbitrary Grids

... solution [13] [19]. This eliminates the introduction of ad hoc penalty or coupling terms found in traditional DG methods; in the simple case of 1-D diffusion the recovery principle can be shown to generate a string of ... See full document

... high-order discontinuous Galerkin methods lagged much far ...GMRES discontinuous Galerkin method for the compressible Navier-Stokes equations on 2D unstruc- tured ... See full document

... the compressible Navier-Stokes equations or RANS-SA system leads to a system of Ordinary Differential Equations ...SDIRK method is limited to first stage order ...the compressible ... See full document

... is reconstructed using an L 2 projection, requiring it indistinguishable from the underlying DG solutions in the contributing cells in the weak ...least-squares method that guarantees exact conservation, ... See full document

... underlying discontinuous Galerkin solutions. In a reconstructed DG method using a Taylor basis ‎ [75]‎ [76]‎ [77]developed by Luo et ...the compressible Euler and Navier-Stokes ... See full document

... least-squares method that guarantees exact conservation, not only of the cell averages but also of all higher order moments in the reconstructed cell itself, such as slopes and ...underlying ... See full document

... governing equations with respect to the moving reference ...are arbitrary Lagrangian–Eulerian (ALE) methods which are commonly used for problem with moving ... See full document

... the discontinuous Galerkin finite el- ement method (DGM), which is based on piecewise poly- nomial discontinuous approximations of the sought solu- tion, became very popular in the field of ... See full document

... spacetime discontinuous Galerkin method devel- oped for general conservation ...The method integrates the best features of the spacetime Conservation Element/Solution Element (CE/SE) ... See full document

... MHD equations by Evans & Hawley (1988). The CT method uses Stoke’s theorem to represent the magnetic fields by face-averaged rather than cell-averaged ...CT method can be easily implemented on ... See full document

... This method has the advantage of being easy to implement and does not require any additional calculations, however it has the disadvantage of containing an arbitrary coefficient C a whose value influences ... See full document

... of reconstructed DGM, termed PnPm schemes and referred to as rDG (PnPm) in this paper, where Pn indicates that a piecewise polynomial of degree of n is used to represent a DG solution, and Pm represents a ... See full document

... the Euler equations inspired by the idea of the Robin-Robin preconditioner [AN97] applied to the advection-diffusion ...scalar equations via a Smith ...3D compressible Navier-Stokes ...to ... See full document

... see, for example, [9, 12, 16, 23, 24, 27, 28] and the references therein. It is well known that the presence of a weakly singular kernel in the memory term typically leads to a temporal singularity in the solution u of ... See full document

... Due to the roughness of the exact solutions to these problems, numerical methods for solving hyperbolic partial differential equations must be accompanied by proper regularization mechanisms. If the solution is ... See full document

... Note however that, because of residual terms of unknown sign appearing in the potential elastic balance, contrary to what is obtained for implicit and semi-implicit variants of the present scheme [5, 10], these ... See full document

... Keywords Discontinuous Galerkin method; Two-layer shallow water equations; Finite element; Lock-exchange hydraulics... INTRODUCTION During the last decades partial differential equations[r] ... See full document

... three–dimensional compressible Navier–Stokes ...its discontinuous Galerkin finite element approximation, based on employing the adjoint consistent sym- metric interior penalty method ... See full document

... We investigate a multidimensional nonisentropic radiation hydrodynamics model. We study the local existence and the convergence of the nonisentropic radiation hydrodynamics equations via the non-relativistic ... See full document

... In this section we will demonstrate the applicability of the developed method and present numerical simulations of the compressible turbulent gas flow through the porous media. Such approach can be used for ... See full document