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3 edition of A high order discontinuous Galerkin method for 2D incompressible flows found in the catalog.

A high order discontinuous Galerkin method for 2D incompressible flows

Jianguo Liu

A high order discontinuous Galerkin method for 2D incompressible flows

by Jianguo Liu

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  • 35 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

    Subjects:
  • Computational fluid dynamics.,
  • Inviscid flow.,
  • Two dimensional flow.,
  • Galerkin method.,
  • Energy conservation.,
  • Error analysis.

  • Edition Notes

    StatementJian-Guo Liu, Chi-Wang Shu.
    SeriesICASE report -- no. 99-27, [NASA contractor report] -- NASA/CR-1999-209361, NASA contractor report -- NASA CR-209361.
    ContributionsShu, Chi-Wang., Langley Research Center.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL17136930M

    () Hybrid Discontinuous Galerkin methods with relaxed H (div)-conformity for incompressible flows. Part II. Part II. ESAIM: Mathematical Modelling and Numerical Analysis , Cited by: A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows. By Jian-guo Liu and Chi-Wang Shu. Abstract. this paper we introduce a high-order discontinuous Galerkin method for twodimensional incompressible flow in the vorticity stream-function formulation. The momentum equation is treated explicitly, utilizing the efficiency of the Cited by:

    A class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simula tion, turbomachinery, turbulent flows, materials processing, MHD and plasma simulations, and image processing. We present a new method for approximating solutions to the incompressible miscible displacement problem in porous media. At the discrete level, the coupled nonlinear system has been split into two linear systems that are solved sequentially. The method is based on a hybridizable discontinuous Galerkin method for the Darcy flow, which produces a mass--conservative flux approximation, and a Author: Maurice S. Fabien, Matthew G. Knepley, Beatrice M. Riviere.

    Instability of Local Iterative Methods Consider steady state problem and define discrete residual for cell j, Rj(u) ≡ X3 k=1 Z jk Hi(u˜j,u˜k,nˆjk)ds = 0. A Jacobi iterative method to solve this problem is, un+1 j = u n j −ω(∂Rj/∂uj) −1 R j(u). For any finite ω, Jacobi is unstable for higher-order File Size: 1MB. We extend the entropy stable high order nodal discontinuous Galerkin spectral element approximation for the non-linear two dimensional shallow water equations presented by Wintermeyer et al. [ Journal of Computational Physics, , ] with a shock capturing technique and a positivity preservation capability to handle dry areas.


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A high order discontinuous Galerkin method for 2D incompressible flows by Jianguo Liu Download PDF EPUB FB2

24 J.-G. Liu and C.-W. Shu, A numerical example on the performance of high order discontinuous Galerkin method for 2D incompressible flows, in Discontinuous Galerkin Methods: Theory, Computation and Applications, B. Cockburn, G. Karniadakis, and C.-W. Shu, Editors, Lecture Notes in Computational Science and Engineering, volSpringer-Verlag, Berlin/New York, pp.

Cited by: In this paper we introduce a high-order discontinuous Galerkin method for two-dimensional incompressible flow in the vorticity stream-function formulation.

The momentum equation is treated explicitly, utilizing the efficiency of the discontinuous Galerkin : LiuJian-Guo, ShuChi-Wang. A HIGH ORDER DISCONTINUOUS GALERKIN METHOD FOR 2D INCOMPRESSIBLE FLOWS JIAN-GUO LIU* ANI) CIII-\VAN(] SII[Tt Abstract.

In this pat)er we introduce a high order discontinuous Galerkin method for two dimensional incoinpressible flow in vorticity streamfunction fornnllation. The inonlentuni equation is treated exl)licitly, utilizing the efficiency File Size: KB.

A High Order Discontinuous Galerkin Method for 2D Incompressible Flows Jian-Guo Liu University of Maryland, College Park, Maryland Chi-Wang Shu Brown University, Providence, Rhode Island Institute for Computer Applications in Science and Engineering NASA Langley Research Center Hampton, VA Operated by Universities Space Research Association.

A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows. A class of finite element methods, the Discontinuous Galerkin Methods A Numerical Example on the Performance of High Order Discontinuous Galerkin Method for 2D Incompressible Flows.

Pages Discontinuous Galerkin Methods Book. Jan Jaśkowiec, Application of discontinuous Galerkin method to mechanical 2D problem with arbitrary polygonal and very high-order finite elements, Computer Methods in Applied Mechanics and Engineering, /,(), ().

A Navier-Stokes flow solver RDGFLO based on a third-order accurate reconstructed discontinuous Galerkin (RDG) method is presented for modeling the compressible flows on 3D arbitrary grids.

High-Order Discontinuous Galerkin Method for Computation of Turbulent Flows Article in AIAA Journal 53(5) May with 29 Reads How we measure 'reads'. Furthermore, numerical examples using a Discontinuous Galerkin (DG) formulation with solenoidal approximation allow a comparison, in terms of accuracy and compu-tational cost, between the high-order recommended RK methods and also with other classical methods, such as the second-order Crank-Nicolson method.

The paper is structured as follows. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): this paper we introduce a high-order discontinuous Galerkin method for twodimensional incompressible flow in the vorticity stream-function formulation.

The momentum equation is treated explicitly, utilizing the efficiency of the discontinuous Galerkin method. The stream function is obtained by a standard Poisson.

Keywords: discontinuous Galerkin, space-time, high-order accuracy, deformable domains, Navier-Stokes 1. Introduction Discontinuous Galerkin (DG) methods have received much attention during the last decade due to their ability to produce stable and high-order accurate discretizations of conservation laws on fully unstructured meshes [1,2].File Size: 4MB.

In this paper we introduce a high order discontinuous Galerkin method for two dimensional incompressible flow invorticity streamfunction formulation. The momentum equation is treated explicitly, utilizing the efficiency of the discontinuous Galerkin method.

The streamfunction is obtained by a standard Poisson solver using continuous finite. () Comparison of high-order continuous and hybridizable discontinuous Galerkin methods for incompressible fluid flow problems.

Mathematics and Computers in Simulation() A Hybridizable Discontinuous Galerkin Method for the Navier–Stokes Equations with Pointwise Divergence-Free Velocity by: Liu JG., Shu CW.

() A Numerical Example on the Performance of High Order Discontinuous Galerkin Method for 2D Incompressible Flows. In: Cockburn B., Karniadakis G.E., Shu CW. (eds) Discontinuous Galerkin Methods.

Lecture Notes in Computational Science and Engineering, vol Springer, Berlin, HeidelbergCited by: 3. Discontinuous Galerkin Methods by Bernardo Cockburn,A Numerical Example on the Performance of High Order Discontinuous Galerkin Method for 2D Incompressible Flows.- A Discontinuous Galerkin Method in Moving Domains.- Discontinuous Galerkin for Hyperbolic Systems with Stiff Relaxation/5(2).

Get this from a library. A high order discontinuous Galerkin method for 2D incompressible flows. [Jian-Guo Liu; Chi-Wang Shu; Langley Research Center.]. In this paper we introduce a high order discontinuous Galerkin method for two dimensional incompressible flow in vorticity streamfunction formulation.

The momentum equation is treated explicitly, utilizing the efficiency of the discontinuous Galerkin method The streamfunction is obtained by a standard Poisson solver using continuous finite Author: Jia-Guo Liu and Chi-Wang Shu.

This volume contains current progress of a new class of finite element method, the Discontinuous Galerkin Method (DGM), which has been under rapid developments recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simulation, turbomachinery, turbulent flows, materials processing, Magneto-hydro-dynamics, plasma simulations and image.

We present an implicit high-order hybridizable discontinuous Galerkin method for the steady-state and time-dependent incompressible Navier–Stokes equations.

The method is devised by using the discontinuous Galerkin discretization for a velocity gradient-pressure–velocity formulation of the incompressible Navier–Stokes equations with a Cited by:. Benjamin Krank, Niklas Fehn, Wolfgang A.

Wall and Martin Kronbichler, A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow, Journal of Computational Physics, /.High-order numerical methods provide an efficient approach to simulating many physical problems.

This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows Author: M. O. Deville, P. F. Fischer, E. H. Mund.Krank B, Fehn N, Wall W and Kronbichler M () A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow, Journal of Computational Physics, C, (), Online publication date: 1-Nov