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4 edition of The Runge-Kutta discontinuous Galerkin method for conservation laws V found in the catalog.

The Runge-Kutta discontinuous Galerkin method for conservation laws V

The Runge-Kutta discontinuous Galerkin method for conservation laws V

multidimensional systems

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  • 37 Currently reading

Published by National Aeronautics and Space Administration, Langley Research Center, National Technical Information Service, distributor in Hampton, Va, [Springfield, Va .
Written in English


Edition Notes

Other titlesRunge Kutta discontinuous Galerkin method for conservation laws.
StatementBernardo Cockburn, Chi-Wang Shu.
SeriesICASE report -- no. 97-43., NASA contractor report -- NASA CR-201737.
ContributionsShu, Chi-Wang., Langley Research Center.
The Physical Object
FormatMicroform
Pagination1 v.
ID Numbers
Open LibraryOL17546446M
OCLC/WorldCa39327877

B. Cockburn and C.-W. Shu, The Runge-Kutta discontinuous Galerkin method for conservation laws V: multidimensional systems, Journal of Computational Physics, v (), pp H.L. Atkins and C.-W. Shu, Quadrature-free implementation of discontinuous Galerkin method for hyperbolic equations, AIAA Journal, v36 (), pp Proof of cell entropy inequality for discontinuous Galerkin method for nonlinear conservation laws in general multidimensional triangulations (Jiang and Shu).! Discontinuous Galerkin method for convection diffusion problems (Bassi and Rebay, Cockburn and Shu, Baumann and Oden, ).! Discontinuous Galerkin method for.

The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case. Math. Comput. 54, (). Google ScholarAuthor: ChengYingda, M GambaIrene, J MorrisonPhilip. Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws Ruo Li ∗ Tao Tang † October 4, Abstract In this paper, a moving mesh discontinuous Galerkin (DG) method is developed to solve the nonlinear conservation laws. In the mesh adaptation part, two issues have received much attention.

A Discontinuous Galerkin Method for Stochastic Conservation Laws Yunzhang Li, Chi-Wang Shu y, Shanjian Tangz Abstract In this paper we present a discontinuous Galerkin (DG) method to approximate stochastic conservation laws, which is an e cient high-order scheme. We study the sta-. Runge–Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshesq For a detailed discussion on DG methods for solving conservation laws, we refer to the review paper [8] and the books and lecture notes [3,12,16,27]. /$ - Cited by:


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The Runge-Kutta discontinuous Galerkin method for conservation laws V Download PDF EPUB FB2

Runge–Kutta discontinuous Galerkin method for numerically solving hyperbolic conservation laws. In this paper, we extend the method to multidimensional non-linear systems of conservation laws. The algorithms are described and discussed, including algorithm formulation and practical implementation issues such as the nu.

This is the fifth paper in a series in which we construct and study the so-called Runge Kutta discontinuous Galerkin method for numerically solving hyperbolic conservation laws. In this paper, we extend the method to multidimensional nonlinear systems of conservation : CockburnBernardo, ShuChi-Wang.

The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V. Abstract This is the fifth paper in a series in which we construct and study the so-called Runge–Kutta discontinuous Galerkin method for numerically solving hyperbolic conservation laws. In this paper, we extend the method to multidimensional nonlinear systems of conservation by: The Runge-Kutta discontinuous Galerkin method for conservation laws V multidimensional systems.

CiteSeerX — The Runge-Kutta Discontinuous Galerkin Method For Conservation Laws V: Multidimensional Systems. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): This is the fifth paper in a series in which we construct and study the so-called RungeKutta Discontinuous Galerkin method for numerically solving hyperbolic conservation laws.

THE RUNGE-KUTTA LOCAL PROJECTION DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR CONSERVATION LAWS IV: THE MULTIDIMENSIONAL CASE BERNARDO COCKBURN, SUCHUNG HOU, AND CHI-WANG SHU Abstract.

In this paper we study the two-dimensional version of the Runge-Kutta Local Projection Discontinuous Galerkin (RKDG) methods. Two dimensional Riemann problems for a single conservation law. The Runge-Kutta discontinuous Galerkin finite element method for conservation laws v: Multidimensional systems.

A comparison of spurious oscillations at layers diminishing sold methods for convection—diffusion equations: Part II — analysis for P 1 and Q 1 finite elements.

[14] B. Cockburn and C.-W. Shu, The Runge-Kutta local projection P1-discontinuous-Galerkin finite element method for scalar conservation laws. Mathematical Modelling and Numerical Analysis (M2AN) 25 (), – [15] B.

Cockburn and C.-W. Shu, The Runge-Kutta discontinuous Galerkin method for conservation laws V: multidimensional systems. The fully discrete adjoint equations and the corresponding adjoint method are derived for a globally high-order accurate discretization of conservatio Cited by: 03/03/20 - A new procedure to capture the shocks has been proposed and is demonstrated for the solutions of two-dimensional Euler equations u.

Abstract This is the fifth paper in a series in which we construct and study the so-called Runge-Kutta Discontinuous Galerkin method for numerically solving hyperbolic conservation laws. In this paper, we extend the method to multidimensional nonlinear systems of conservation laws.

TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework By Bernardo Cockburn and Chi-Wang Shu Dedicated to Professor Eugene Isaacson on the occasion of his 70th birthday Abstract.

This is the second paper in a series in which we construct and analyze a. In this paper we consider Runge–Kutta discontinuous Galerkin (RKDG) schemes for Vlasov–Poisson systems that model collisionless plasmas. One-dimensional systems are emphasized. The RKDG method, originally devised to solve conservation laws, is seen to have excellent conservation properties, be readily designed for arbitrary order of accuracy, and capable of being Cited by: The Runge-Kutta discontinuous Galerkin method for conservation laws V multidimensional systems.

Hampton, Va.: [Springfield, Va: National Aeronautics and Space Administration, Langley Research Center ; National Technical Information Service, distributor. MLA Citation. Cockburn, B. and Shu, Chi-Wang. and Langley Research Center.

Download PDF Abstract: We study in this paper three variants of the high-order Discontinuous Galerkin (DG) method with Runge-Kutta (RK) time integration for the induction equation, analysing their ability to preserve the divergence free constraint of the magnetic field.

To quantify divergence errors, we use a norm based on both a surface term, measuring global divergence errors. In this paper, we extend using the Runge-Kutta discontinuous Galerkin method together with the front tracking method to simulate the compressible two-medium flow on unstructured meshes.

A Riemann problem is constructed in the normal direction in the material interfacial region, with the goal of obtaining a compact, robust and efficient. The Runge-Kutta Local Projection P1-Discontinuous-Galerkin Finite Element Method for Scalar Conservation Laws.

Retrieved from the University of Minnesota Digital Conservancy, Content distributed via the University of Minnesota's Digital Conservancy may be subject to additional license and use restrictions applied by the by: This is the fifth paper in a series in which we construct and study the so-called Runge–Kutta discontinuous Galerkin method for numerically solving hyperbolic conservation laws.

Request PDF | On Jun 1,Yongquan Feng and others published High-Performance Implementation of Matrix-Free Runge-Kutta Discontinuous Galerkin Method for Euler Equations | Find, read and cite.

This is the fth paper in a series in which we construct and study the so-called Runge-Kutta Discontinuous Galerkin method for numerically solving hyperbolic conservation laws. In this paper, we extend the method to multidimensional nonlinear systems of conservation laws.

The algorithms are described and discussed, including algorithm formulation and.the Runge-Kutta Discontinuous Galerkin (RKDG) method for systems of hyperbolic conservation laws and convection-dominated problems.

Together with the ENO and WENO schemes, the RKDG method is one of the most powerful and widely used high-order accurate methods for compressible ows. It combines the advantages of a shock-capturing, conservative.Positivity-preserving discontinuous Galerkin (DG) methods for solving hyperbolic conservation laws have been extensively studied in the last several years, but nearly all the developed schemes are coupled with explicit time discretizations.

Explicit discretizations suffer from the constraint for the Courant--Friedrichs--Lewy (CFL) by: 6.