The discontinuous Galerkin method for the numerical simulation of compressible viscous flow
EPJ Web of Conferences, 2014 In this paper we deal with numerical simulation of the compressible viscous flow. The mathematical model of flow is represented by the system of non-stationary compressible Navier-Stokes equations.
Česenek Jan
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A Discontinuous Galerkin Method for Two-Dimensional Shock Wave Modeling
Modelling and Simulation in Engineering, 2011 A numerical scheme based on discontinuous Galerkin method is proposed for the two-dimensional shallow water flows. The scheme is applied to model flows with shock waves. The form of shallow water equations that can eliminate numerical imbalance between
W. Lai, A. A. Khan
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Discontinuous Galerkin methods for hypersonic flows
Progress in Aerospace SciencesComment: 34 pages, 25 figures, and 1 ...
Dominique S. Hoskin +5 more
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Extended hybridizable discontinuous Galerkin method
, 2023 This thesis proposes a new numerical technique: the eXtended Hybridizable Discontinuous Galerkin (X-HDG) Method, to efficiently solve problems including moving boundaries and interfaces. It aims to outperform available methods and improve the results by inheriting favored properties of Discontinuous Galerkin (HDG) together with an explicit interface ...
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A sparse and high-order accurate line-based discontinuous Galerkin method for unstructured meshes [PDF]
, 2012 Per‐Olof Persson
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The Time Discontinuous H1-Galerkin Mixed Finite Element Method for Linear Sobolev Equations
Discrete Dynamics in Nature and Society, 2015 We combine the H1-Galerkin mixed finite element method with the time discontinuous Galerkin method to approximate linear Sobolev equations. The advantages of these two methods are fully utilized.
Hong Yu, Tongjun Sun, Na Li
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Stochastic Discontinuous Galerkin Methods with Low--Rank Solvers for\n Convection Diffusion Equations [PDF]
, 2020 Pelin Çi̇loğlu, Hamdullah Yücel
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A Space-Time Discontinuous Galerkin Trefftz Method for time dependent Maxwell's equations
, 2014 We consider the discretization of electromagnetic wave propagation problems by a discontinuous Galerkin Method based on Trefftz polynomials. This method fits into an abstract framework for space-time discontinuous Galerkin methods for which we can prove ...
Egger, Herbert +3 more
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Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems [PDF]
, 2023 Bernardo Cockburn
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On discontinuous Galerkin methods
, 2001 Discontinuous Galerkin methods have received considerable attention in recent years for applications to many problems in which convection and diffusion terms are present. Several alternatives for treating the diffusion flux effects have been introduced, as well as, for treatment of the convective flux terms.
Zienkiewicz, OC, Taylor, RL
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