Last edited by Kazinris
Monday, August 3, 2020 | History

3 edition of Quadrature-free implementation of discontinuous Galerkin method for hyperbolic equations found in the catalog.

Quadrature-free implementation of discontinuous Galerkin method for hyperbolic equations

Quadrature-free implementation of discontinuous Galerkin method for hyperbolic equations

  • 335 Want to read
  • 28 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:
  • Boundary value problems.,
  • Galerkin method,
  • Hyperbolic differential equations.,
  • Robustness (Mathematics),
  • Unstructured grids (Mathematics),
  • Aeroacoustics.

  • Edition Notes

    Other titlesQuadrature free implementation of discontinuous Galerkin method for hyperbolic equations.
    StatementH.L. Atkins, Chi-Wang Shu.
    SeriesNASA contractor report -- 201594., NASA contractor report -- NASA CR-201594.
    ContributionsShu, Chi-Wang., Langley Research Center.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL15505075M

      Abstract. The C1 spline spaces with degree d≥5 over given triangulations are implemented in the framework of multi-variate spline theory. Author: Xinping Shao, Danfu Han, Xianliang Hu. Discontinuous Galerkin finite elements Nodal Modal Computational cost Well-balanced Shallow water equations abstract We present a comprehensive assessment of nodal and hybrid modal/nodal discontinuous Galerkin (DG) finite element solutions on a range of unstructured meshes to nonlinear shallow water flow with smooth solutions.

      title = {{A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems}}, author = { Masud, A. and Hughes, T.J.R. }, journal = { Computer Methods in Applied Mechanics and Engineering }. In this article, a stabilized mixed finite element (FE) method for the Oseen viscoelastic fluid flow (OVFF) obeying an Oldroyd-B type constitutive law is proposed and investigated by using the Streamline Upwind Petrov–Galerkin (SUPG) method. To find the approximate solution of velocity, pressure and stress tensor, we choose lowest-equal order FE triples P 1 - P 1 - P 1, : Shahid Hussain, Afshan Batool, Md. Abdullah Al Mahbub, Nasrin Jahan Nasu, Jiaping Yu.

    Full text of "Second Computational Aeroacoustics (CAA) Workshop on Benchmark Problems" See other formats. Electronic Transactions on Numerical Analysis (ETNA) Vol Drahoslava Janovská and Gerhard Opfer Fast Givens transformation for quaternion valued matrices applied to Hessenberg reductions Henri Schurz Stability of numerical methods for ordinary stochastic differential equations along Lyapunov-type and other functions with variable step .


Share this book
You might also like
SAARC trade handbook

SAARC trade handbook

U.S. Army Sniper Training FM 23-10 CD-ROM

U.S. Army Sniper Training FM 23-10 CD-ROM

A Cat in Fine Style

A Cat in Fine Style

Soft drink manufacturers.

Soft drink manufacturers.

Charles Dickens: Little Dorrit.

Charles Dickens: Little Dorrit.

Statistics of drugs seizures and offenders dealt with, United Kingdom, 1996

Statistics of drugs seizures and offenders dealt with, United Kingdom, 1996

Houston TX Greater

Houston TX Greater

Country journalism.

Country journalism.

The progress of the pilgrim Good-Intent, in Jacobinical times

The progress of the pilgrim Good-Intent, in Jacobinical times

Storia do Mogor; or, Mogul India, 1653-1708.

Storia do Mogor; or, Mogul India, 1653-1708.

Office health and safety handbook

Office health and safety handbook

Glow in the dark under the sea

Glow in the dark under the sea

State plan for Montanas special supplemental food program for women, infants and children (WIC)

State plan for Montanas special supplemental food program for women, infants and children (WIC)

Living with a computer

Living with a computer

Assisting victims of terrorism

Assisting victims of terrorism

Quadrature-free implementation of discontinuous Galerkin method for hyperbolic equations Download PDF EPUB FB2

Home Browse by Title Reports Quadrature-Free Implementation of the Discontinuous Galerkin Method for Hyperbolic Equations.

Quadrature-Free Implementation of the Discontinuous Galerkin Method for Hyperbolic Equations May May Read More. Technical Report.

hyperbolic equation discontinuous galerkin method quadrature-free implementation accuracy property sound generation hyperbolic problem parallel computer architecture structured grid jet noise shock wave nonlinear flow major source untried discontinuous galerkin several useful mathematical property interest involve complex geometry introduction.

Get this from a library. Quadrature-free implementation of discontinuous Galerkin method for hyperbolic equations. [H L Atkins; Chi-Wang Shu; Langley Research Center.]. The discontinuous Galerkin (DG) method is a robust and compact finite element projection method that provides a practical framework for the development of high-order accurate methods using unstructured grids.

The method is well suited for large-scale time-dependent computations in which high accuracy is required. The book of Hesthaven & Warburton discusses this and talks of errors in quadrature-free method for non-linear problems and the need to use some filter.

The few papers I have seen on quadrature-free method like this one use the same degree basis for solution and flux and dont seem to use any filter (but they have artificial viscosity which is. Quadrature free implementation of 26, discontinuous Galerkin method for hyperbolic equations.

[5] Shu CW, Osher S. Efficient implementation of essentially AIAA J May ;36(5). non-oscillatory shock capturing by: 1. H.L. Atkins and C-W. Shu. Quadrature-free implementation of discontinuous galerkin method for hyperbolic equations.

AIAA Journal, –, CrossRef Google ScholarCited by: 6. H.L. Atkins and C.-W. Shu. Quadrature-free implementation of discontinuous Galerkin methods for hyperbolic equations. ICASE Reportsubmitted to AIAA J. Google Scholar by: Grids, Euler Equations, High-Order Accuracy, Superlinear Speedup Subject classi cation.

Computer Science 1. Motivation. The discontinuous Galerkin (DG) method is a robust and compact nite element projection method that provides a practical framework for the development of high-order accurate methods using unstructured grids.

The method is a spectral element (collocation) form of the discontinuous Galerkin method for the solution of the Euler gasdynamics equations. Solutions are presented for. A quadrature free, Runge-Kutta discontinuous Galerkin method (DGM) is developed to solve the level set equation written in a conservative form on two- and tri-dimensional unstructured grids.

Publications in Refereed Book Chapters, Proceedings and Lecture Notes. Cockburn and C.-W. Shu, A new class of non-oscillatory discontinuous Galerkin finite element methods for conservation laws, Proceedings of the 7th International Conference of Finite Element Methods in Flow Problems, UAH Press,pp S.

Osher and C.-W. Shu, Recent progress on. To solve the linear acoustic equations for room acoustic purposes, the performance of the time-domain nodal discontinuous Galerkin (DG) method is evaluated. A Cited by: 3. Key words, discontinuous Galerkin method, t)arallelization strategies, object oriented, unstructured grids, Euler equations, high-order accuracy Subject classification.

Computer Science 1. Motivation. The discontinuous Galerkin (DG) method is a robust and corot)act finite element. Atkins, H.L. and Shu, Chi-Wang, Quadrature-free implementation of the discontinuous Galerkin method for hyperbolic equations.

AIAA J. v Google Scholar [3]. T.J. Barth, P.O. Frederickson, High-order solution of the Euler equations on unstructured grids using quadratic reconstruction, AIAA Paper No. Google Scholar [4].Author: HarrisRob, LiuYen.

Cockburn and C.-W. Shu, The Runge-Kutta discontinuous Galerkin method for conservation laws V: multidimensional systems, Journal of Computational Physics, v (), pp H. Atkins and C.-W. Shu, Quadrature-free implementation of the discontinuous Galerkin method for hyperbolic equations, AIAA Journal, v36 (), pp () Implementation of the entropy viscosity method with the discontinuous Galerkin method.

Computer Methods in Applied Mechanics and Engineering() Locally divergence-free central discontinuous Galerkin methods for ideal MHD by: In this paper, we study the local discontinuous Galerkin (LDG) methods for nonlinear, time-dependent convection-diffusion systems.

These methods are an extension of the Runge--Kutta discontinuous Galerkin (RKDG) methods for purely hyperbolic systems to convection-diffusion systems and share with those methods their high parallelizability, high-order formal accuracy, Cited by: Questions about analysis, implementation or application of Galerkin methods for partial differential equations using piecewise functions that are not globally continuous (and hence require surface terms on element boundaries in addition to the usual.

Ultrasonic stress wave amplitude and time-of-flight values may change as a media is heated. The measurement of relatively small variations in velocity and material attenuation can detect and quantify significant variations within a material’s microstructure, such as a change in phase from solid to liquid.

This paper discusses the experimental setup, ultrasonic wave speed tracking Author: David G. Moore, Sarah L. Stair, David A. Jack. Politecnico di Torino Porto Institutional Repository [Article] An efficient discontinuous Galerkin method for aeroacoustic convection-dominated problems can be found in the book of Cockburn et al.[4].

QUADRATURE FREE DISCONTINUOUS GALERKIN METHOD Considering a hyperbolic conservation equation of the form @u @t CrF.u/ D 0,(1) 2. The method is specially suited for linear hyperbolic systems such as the heterogeneous elastic wave equations and allows an efficient implementation.

We consider continuous sources in space and time and point sources characterized by a Delta distribution in space and some continuous source time by: Optimal approximability of solutions of singularly perturbed differential equations R.

Bruce Kellogg*, University of Maryland, College Park Martin Stynes, University College, Cork, Ireland () p.m. Quadrature-free Implementation of Discontinuous Galerkin Method Chi-Wang Shu*, Division of Applied Mathematics, Brown University.