3 edition of **Design of an essentially non-oscillatory reconstruction procedure on finite-element type meshes** found in the catalog.

Design of an essentially non-oscillatory reconstruction procedure on finite-element type meshes

R. Abgrall

- 63 Want to read
- 20 Currently reading

Published
**1991**
by National Aeronautics and Space Administration, Langley Research Center, National Technical Information Service, distributor in Hampton, Va, [Springfield, Va
.

Written in English

- Finite element method.,
- Numerical grid generation (Numerical analysis)

**Edition Notes**

Other titles | Design of an essentially non oscillatory reconstruction procedure on finite-element type meshes. |

Statement | R. Abgrall. |

Series | ICASE report -- no. 91-84., NASA contractor report -- 189574., NASA contractor report -- NASA CR-189754. |

Contributions | Langley Research Center. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL15368797M |

For the shallow water equations, see for example the work of Xing & Shu (, ) and their well-balanced Weighted Essentially Non-Oscillatory (WENO) schemes for 1-D and 2-D Cartesian meshes for finite difference, finite volume and discontinuous Galerkin methods. These methods are semi-discrete, in which total variation diminishing (TVD Cited by: Hamilton–Jacobi (H–J) equations are frequently encountered in applications, e.g., in control theory and differential games. H–J equations are closely related to hyperbolic conservation laws—in one Cited by:

BASIC APPROACH: Comprehensive -- this text explores the "full range" of finite element methods used in engineering practice for actual applications in computer-aided design. It provides not only an introduction to finite element methods and the commonality in the various techniques, but explores state-of-the-art methods as well -- with a focus on what are deemed to become "classical techniques 5/5(2). A non-oscillatory piecewise-quadratic reconstruction of pointvalues from their given cell averages; and #2. A central differencing based on staggered evolution of the reconstructed cell averages. This results in a thirdorder central scheme, an extension along the lines of the second-order central scheme of Nessyahu and Tadmor [NT].

A higher-order space-time finite-element method for moving-body and fluid-structure interaction problems L. Diosady, S. Murman, C. Carton de Wiart Science and Technology Corporation, USA. Many of the recently developed high-resolution schemes for hyperbolic conservation laws are based on upwind differencing. The building block of these schemes is the averaging of an approximate Godunov solver; its time consuming part involves the field-by-field decomposition which is required in order to identify the “direction of the wind.

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Abgrall R. () Design of an Essentially Nonoscillatory Reconstruction Procedure on Finite-Element-Type Meshes. In: Hussaini M.Y., van Leer B., Van Rosendale J.

(eds) Upwind and High-Resolution by: 9. In this paper, we describe an essentially non oscillatory conservative reconstruction for any piecewise regular function u defined on finite-element type meshes by piecewise polynomials.

Harten et al. have based their 1-D reconstruction technique on the Lagrange interpolation that is applied either on the primitive Cited by: An essentially non-oscillatory reconstruction procedure on finite-element type meshes: Application to compressible flowsAuthor: Rémi Abgrall. In this report, we have designed an essentially non-oscillatory reconstruction for functions defined on finite-element type meshes.

Two related problems are studied: the interpolation of possibly unsmooth multivariate functions on arbitrary meshes and the reconstructionCited by: In this report, we have designed an Essentially Non Oscillatory reconstruction for functions defined on finite-element type meshes.

Two related problems are studied: The interpolation of possibility unsmooth multivariate functions on arbitrary meshes and the reconstruction of a function from its averages in the control volumes surrounding the nodes of the : Remi Abgrall.

An essentially non-oscillatory reconstruction for functions defined on finite-element type meshes was designed. Two related problems are studied: the interpolation of possibly unsmooth multivariate functions on arbitrary meshes and the reconstruction of a function from its average in the control volumes surrounding the nodes of the : R.

Abgrall. Design of an essentially non-oscillatory reconstruction procedure on finite-element type meshes [microfo Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation Weighted essentially non-oscillatory schemes on triangular meshes [microform] / Chang-Qing Hu and Chi-Wa.

Design of an Essentially Nonoscillatory Reconstruction Procedure on Finite-Element-Type Meshes: p. A Contribution to the Great Riemann Solver Debate: p. An Approximate Riemann Solver for Magnetohydrodynamics (That Works in More Than One Dimension) p.

Paper Reprinted: p. Table of Contents provided by Blackwell. All Rights. Specifically considered are generalizations of Godunov’s method to high order accuracy and unstructured meshes.

An important component of high order accurate Godunov methods is the spatial reconstruction operator. A number of reconstruction operators are reviewed based on Green-Gauss formulas as well as least-squares by: () Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields.

Computers & Mathematics with Applications() Fine structures for the solutions of the two-dimensional Cited by: In this paper, we continue our work in [46] and propose a new type of high-order finite volume multi-resolution weighted essentially non-oscillatory (WENO) schemes to solve hyperbolic conservation laws on triangular by: 9.

Get this from a library. Design of an essentially non-oscillatory reconstruction procedure on finite-element type meshes. [R Abgrall; Langley Research Center.]. Abgrall, An essentially non-oscillatory reconstruction procedure on finite-element type meshes: Application to compressible flows, Comput.

Methods Appl. Mech. Eng., () Google Scholar Cross Ref. Shock preserving quadratic interpolation for visualization on triangular meshes. Design of an essentially non-oscillatory. reconstruction procedure on finite-element type meshes. Upwind and High Resolution Schemes, chapter: Design of an Essentially Non Oscilatory reconstruction procedure for finite element type meshes, pages Springer Verlag, Rémi Abgrall, Thomas Sonar, Oliver Friedrich, and Germain Billet.

High order approximations for compressible fluid dynamics on unstructured and Cartesian meshes. In this report, we have designed an essentially non-oscillatory reconstruction for functions defined on finite-element type meshes.

Two related problems are studied: the interpolation of possibly unsmooth multivariate functions on arbitrary meshes and the reconstruction. as slope limiters, artiﬁcial viscosity or essentially non oscillatory reconstruction procedures, such as ENO, WENO or HWENO.

A discussion follows that will give birth to the paradigms and design principles of our a posteriori subcell-based MOOD limiting presented in the next section.

Cited by: 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 non-oscillatory shock. About this book One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows.

These methods combine higher-order accuracy in smooth regions, with sharp, oscillation-free representation of embedded shocks, and are now known as "high-resolution schemes".

In this report, we have designed an Essentially Non Oscillatory reconstruction for functions defined on finite-element type meshes. Two related problems are studied: the interpola-tion of possibly unsmooth multivariate functions on arbitrary meshes and the reconstruction.

Numerical computations for scalar and system of nonlinear hyperbolic equations are performed on two-dimensional triangular meshes. We demonstrate that the new hierarchical reconstruction generates essentially non-oscillatory solutions for schemes up to fourth order on triangular by: The Essentially NonOscillatory (ENO) mechanism is combined with radial basis function reconstruction to obtain high order schemes in the presence of gradient discontinuities.

Numerical examples of time dependent HJ equations in 2, 3 and 4 dimensions illustrate the accuracy of the new methods. 2. Discrete Models for the Numerical Analysis of Time-Dependent Multidimensional Gas Dynamics.- 3.

Discontinuous Solutions to Hyperbolic Systems Under Operator Splitting.- 4. High Resolution Finite Volume Methods on Arbitrary Grids Via Wave Propagation.- 5. Design of an Essentially Nonoscillatory Reconstruction Procedure on Finite-Element-Type.