3 edition of **Finite-volume application of high order eno schemes to two-dimensional boundary-value problems** found in the catalog.

Finite-volume application of high order eno schemes to two-dimensional boundary-value problems

- 312 Want to read
- 11 Currently reading

Published
**1990**
by Old Dominion University Research Foundation, National Aeronautics and Space Administration, Langley Research Center, National Technical Information Service, distributor in Norfolk, Va, Hampton, Va, [Springfield, Va
.

Written in English

- Boundary conditions.,
- Boundary value problems.,
- Essentially non-oscillatory schemes.,
- Finite volume method.,
- Gas dynamics.,
- Shock waves.

**Edition Notes**

Statement | by J. Mark Dorrepaal and Jay Casper. |

Series | NASA CR -- 186917., NASA contractor report -- NASA CR-186917. |

Contributions | Casper, Jay., Old Dominion University. Research Foundation., Langley Research Center. |

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

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL16131190M |

Numerical Algorithms Volume 1, Number 2, Phillip J. Barry and Ronald N. Goldman Shape parameter deletion for Pólya curves M. A. Barkatou Characterization of regular singular linear systems of difference equations J. M. Carnicer On best constrained interpolation. CFD Julia is a programming module developed for senior undergraduate or graduate-level coursework which teaches the foundations of computational fluid dynamics (CFD). The module comprises several programs written in general-purpose programming language Julia designed for high-performance numerical analysis and computational science. The paper explains various Cited by: 1.

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Get this from a library. Finite-volume application of high order eno schemes to two-dimensional boundary-value problems. [J Mark Dorrepaal; Jay Casper; Old Dominion University.

Research Foundation.; Langley Research Center.]. FINITE-VOLUME APPLICATION OF HIGH ORDER ENO SCHEMES TO TWO-DIMENSIONAL BOUNDARY-VALUE PROBLEMS By J.

Mark Dorrepaal, Principal Investigator and Jay Casper, Graduate Research Assistant Final Report For the period ended Aug Prepared for National Aeronautics and Space Administration Langley Research Center Hampton, Virginia.

ENO and WENO schemes are high order accurate finite difference or finite volume schemes designed for problems with piecewise smooth solutions containing discontinuities.

The key idea lies at the approximation level, where a nonlinear adaptive procedure is used to automatically choose the locally smoothest stencil, hence avoiding crossing Cited by: A high-order vertex-based central ENO finite-volume scheme for three-dimensional compressible flows Article in Computers & Fluids July with Reads How we measure 'reads'.

A general framework (for arbitrary order of accuracy) is established to construct a limiter for finite volume schemes (e.g. essentially non-oscillatory (ENO) or weighted ENO (WENO) schemes) or. Casper and H.L. Atkins, Finite-Volume Application of High Order ENO Schemes to Two-Dimensional Boundary-Value Problems, Submitted to J.

of Comput. Phys. Phys. Google ScholarCited by: 9. In this paper, we introduce a divergence-free WENO reconstruction-based finite volume scheme up to the third order accuracy for solving ideal MHD equations on two-dimensional triangular meshes.

ENO and WENO finite volume schemes have been introduced in many previous works for solving scalar conservation laws as well as compressible. We design arbitrarily high-order accurate entropy stable schemes for systems of conservation laws.

The schemes, termed TeCNO schemes, are based on two main ingredients: (i) high-order accurate entropy conservative fluxes and (ii) suitable numerical diffusion operators involving ENO reconstructed cell-interface values of scaled entropy variables. Numerical experiments in one Cited by: Solutions of one-dimensional Brio--Wu shock-tube problems and the two-dimensional Kelvin--Helmholtz instability, Orszag--Tang vortex system, and the disruption of a high density cloud by a strong shock are carried out using third- and fourth-order central schemes based on the central WENO by: This paper concerned the finite volume method that applied to solve some kinds of systems of non-linear boundary value problems (elliptic, parabolic and hyperbolic) for PDE's.

Keywords: Finite Volume Method, Control Volume, System, Boundary Value Problems 1. Introduction One of the most important sources in applied mathematics is the boundary. Lloyd N. Trefethen, Instability of difference models for hyperbolic initial boundary value problems, Communications on Pure and Applied Mathematics, 37, 3, (), ().

Wiley Online Library P. Sweby, High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws, SIAM Journal on Numerical Analysis, 21, 5, ( Cited by: The analytical solution to the BVP above is simply given by. We are interested in solving the above equation using the FD technique.

The first step is to partition the domain [0,1] into a number of sub-domains or intervals of lengthif the number of intervals is equal to n, then nh = 1. We denote by x i the interval end points or nodes, with x 1 =0 and x n+1 = 1.

A series of high order schemes is developed to solve steady convection diffusion equations. • The proposed highest order scheme has almost the same accuracy as the exact solution for source-free problems. • The highest order scheme is unconditionally stable. • All the high order schemes are more accurate than the QUICK scheme.

•Cited by: 4. These type of schemes is based upon idea of splitting multidimensional problem in sequence of two-one-dimensional tasks. Two-dimensional schemes (TDS’s) -have better accuracy in comparison of “classic" one-dimensional schemes (ODS's) and (or) TDS's may he used for boundary value problems in regions, which have more arbitrary forms.

The resulting FVM schemes are called uniform Lagrange k-0 FVMs, and in this paper they are denoted by LFVM k, k ∈ N. Finite volume methods for elliptic boundary value problems Fig.

3 The dual-grids on the reference element of the uniform Lagrange FVM (left)and FVM (right) Figure 3 illustrates the dual-grids on the reference element.

Abstract: We provide a method for the construction of higher-order finite volume methods (FVMs) for solving boundary value problems of the two dimensional elliptic equations.

Specifically, when the trial space of the FVM is chosen to be a conforming triangle mesh finite element space, we describe a construction of the associated test space that. Full text of "Finite Volume Methods: Foundation and Analysis" See other formats Finite volume methods: foundation and analysis Timothy Barth 1 and Mario Ohlberger 2 1 NASA Ames Research Center, Information Sciences Directorate, Moffett Field, California,USA 2 Institute of Applied Mathematics, Freiburg University, Hermann-Herder-Str.

10. Finally, the Cartesian grid, cut-cel l method is combined with the high-order finite-volume schemes to offer additional cap abilities of handling complex geometry. The resulting approach is assessed against several well identified test problems, demonstrating that it can offer accurate and effective treatment to some important and challenging.

We present a new finite volume version ([1], [2], [3]) of the 1-dimensional Lax-Friedrichs and Nessyahu-Tadmor schemes ([5]) for nonlinear hyperbolic equations on unstructured grids, and compare it to a recent discontinuous finite element method ([6], [23]) in the computation of some typical test problems for compressible flows.

Shuying Zhai, Xinlong Feng, Yinnian He, A Family of Fourth-Order and Sixth-Order Compact Difference Schemes for the Three-Dimensional Poisson Equation, Journal of Scientific Computing, v n.1, p, January Cited by:. A new high-order finite volume method based on local reconstruction is presented in this paper.

The method, so-called the multi-moment constrained finite volume (MCV) method, uses the point values defined within single cell at equally spaced points as Cited by: 9.Matthew Brown and Margot Gerritsen An Energy-Stable High-Order Central Difference Scheme for the Two-Dimensional Shallow Water Equations Th.

Tsangaris and Y.-S. Smyrlis and A. Karageorghis A Matrix Decomposition MFS Algorithm for Problems in Hollow Axisymmetric Domains Peter Benner and Enrique S. Quintana-Ortí Solving Stable.sis [9, 10] and problems involving material non-linearities [11, 12].

Finite volume methods incorporating rotational degrees of freedom in addition to the displacement degrees of freedom have been presented in [10, 13].

A comparison between the ﬁnite volume and ﬁnite element method for geomet.