[PDF] Top 20 Simulation of the Lock Exchange Hydraulics using the Discontinuous Galerkin Method

... 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

... numerical simulation of the compressible turbulent gas flow through the porous media using space-time discontinuous Galerkin ...space-time discontinuous Galerkin method. ... See full document

... numerical simulation of the compressible turbulent flow in time dependent ...space-time discontinuous Galerkin method which is based on piecewise polynomial discontinuous approximation ... See full document

... numerical simulation of compressible viscous fluid flow around three flat plates with prescribed harmonic ...this simulation is to determine the aerodynamic forces acting on the flat ...The ... 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

... DG method is the most successful one at reducing the global divergence errors and, in fact, does not require a cleaning ...DG method (which currently does require a Powell cleaning algorithm owing to the ... See full document

... using the fully expliit DGTD- P 1 method and the hybrid expliit-impliit DGTD- P 1 and DGTD- P 2 methods. A single value of the riterion (27) has been onsidered for the denition of the subsets S i and S e ... See full document

... In literature, different models have been proposed in order to quantify the interaction between sediment transport and water flow. To progress on quantifying such interactions, it becomes necessary to develop numerical ... See full document

... equation using a method of reduc- tion [10, 14, 22] in which the dependency on the velocity variable is ...semi-Lagrangian method and the source term is applied ...the discontinuous ... See full document

... high-order discontinuous Galerkin (DG) finite element methods have been applied to the gas kinetic model equations [9], and the linearized/full Boltzmann equations [10, 11, 12] for the simulation of ... See full document

... only by the source for t ∈ [0; 2.5]. For times greater than 2.5s, the source does not provide energy anymore to the system, so that it is preserved if the scheme is stable. The time-step used for the calculation depends ... See full document

... the discontinuous Galerkin (DG) method to regional wave ...The method makes use of unstructured tetrahedral meshes, com- bined with a time integration scheme solving the arbi- trary high-order ... See full document

... Firstly, note that the L3 wet-dry front approximately tracks the exact front, but has large gaps, specially near inflexion points (that is, around t = nT / 2). The abrupt changes in the position of the front, and the gaps ... See full document

... work discontinuous Galerkin finite element scheme is based on the discrete equations, which are constructed by expressing the integral conservation law on a discrete set of ...by using FEM based on ... See full document

... Indeed in this case, a boundary finite element technique is not yet applicable and it is with coupling between finite element method and integral equation method that it is used. However, the iterative ... See full document

... stabilized discontinuous Galerkin method is proposed to solve the incompressible miscible displacement ...stabilized, discontinuous Galerkin ... See full document

... FV method to higher orders are accurate and robust but ...DG method to be described below, which can be regarded as a cross between DG and reconstruction finite volume methods, is our attempt to combine the ... See full document

... The rest of this paper is as follows. In Section , some notations and auxiliary results are introduced, which will be used later in this paper. In Section , the DG method for ZK equation is presented, and a ... See full document

... In this paper, we discuss the superconvergence of the local discontinuous Galerkin methods for nonlinear convection-diffusion equations. We prove that the numerical solution is (k + 3/2)th-order ... See full document

... In both cases, the simulated system has been further simplified by assuming flow with a dominating streamwise velocity component and a constant pressure drop across the structure. As a consequence, the velocity changes ... See full document