3 edition of **The analysis and construction of perfectly matched layers for linearized Euler equations** found in the catalog.

The analysis and construction of perfectly matched layers for linearized Euler equations

- 226 Want to read
- 20 Currently reading

Published
**1997**
by National Aeronautics and Space Administration, Langley Research Center, National Technical Information Service, [distributor in Hampton, Va, Springfield, VA
.

Written in

- Acoustics.,
- Sound waves.,
- Perturbation.,
- Differential equations.,
- Stabilization.,
- Electromagnetism.,
- Euler equations of motion.

**Edition Notes**

Statement | J.S. Hesthaven. |

Series | ICASE report -- no. 97-49., [NASA contractor report] -- NASA/CR 201744., [NASA contractor report] -- NASA-CR 201744. |

Contributions | Langley Research Center. |

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

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL15492300M |

Perfectly-matched layers (PML) are a recent technique for simulating the absorption of waves in open domains. They have been introduced for electromagnetic waves and . J. Rauch, The Analysis of Matched Layers, Conﬂuentes Mathematici, 3 (), pp. – [3] J. Hesthaven, On the analysis and construction of perfectly matched layers for the linearized euler equations, Journal of Computational Physics, (), pp. – [4] L. M´etivier, Utilisation des ´equations Euler-.

on the analysis and construction of perfectly matched layers for the linearized euler equations by J. S. Hesthaven, We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves. On the analysis and construction of perfectly matched layers for the linearized Euler equations JS Hesthaven Journal of computational Physics (1), ,

on the linearized Vlasov equations followed (see [25,35,55,63] and the references therein). In Vlasov, the decay is caused by the mixing of particles traveling at different velocities whereas in 2D Euler it is caused by the mixing of vorticity. Due to the special structure of the Vlasov equations, inviscid damping for the linearized 2D Euler. On constructing stable perfectly matched layers as an absorbing boundary condition for Euler equations. American Institute of Aeronautics and Astronautics Paper, , Hu, F. Q., and Atkins, H. L. (). Two-dimensional wave analysis of the discontinuous Galerkin method with non-uniform grids and boundary conditions.

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ON THE ANALYSIS AND CONSTRUCTION OF PERFECTLY MATCHED LAYERS FOR THE LINEARIZED EULER EQUATIONS J.s. HESTHAVEN * Abstract. We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves. The split set of equations is shown to be only weakly well-posed.

ON THE ANALYSIS AND CONSTRUCTION OF PERFECTLY MATCHED LAYERS FOR THE LINEARIZED EULER EQUATIONS J. HESTHAVEN Abstract. We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves.

The split set of equations is shown to be only weakly well-posed. This analysis provides the explanation for the stability problems associated with the spilt field formulation and illustrates why applying a filter has a stabilizing effect.

Utilizing recent results obtained within the context of electromagnetics, we develop strongly well-posed absorbing layers for the linearized Euler by: On the analysis and construction of perfectly matched layers for the linearized Euler equations.

Comput. Phys., –, MathSciNet zbMATH CrossRef Google Scholar. On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer. Comput. Phys., –, Cited by: The Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations. By J. Hesthaven.

Abstract. We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves. The split set of equations is shown to be only weakly well-posed, and ill-posed under small Author: J.

Hesthaven. On the Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations Article (PDF Available) in Journal of Computational Author: Jan S. Hesthaven. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves.

The split set of equations is shown to be only weakly well-posed, and ill-posed under small low order perturbations. This analysis provides the explanation for. HagstromA new construction of perfectly matched layers for hyperbolic systems with applications to the linearized Euler equations Mathematical and Numerical Aspects of Wave Propagation—WAVESSpringer (), pp.

Cited by: 7. [4] Th. Hagstrom. A new construction of perfectly matched layers for hyperbolic systems with applications to the linearized Euler equations. In Math. and num. aspects of wave propagation|WAVESpages { Springer, [5] F.

Nataf. A new construction of perfectly matched layers for the linearized Euler equations. In the present paper, a perfectly matched layer is proposed for absorbing out-going two-dimensional waves in a uniform mean flow, governed by linearized Euler equations. On the Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations.

By Jan S. Hesthaven. Abstract. We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves.

The split set of equations is shown to be only weakly well-posed, and ill-posed under Author: Jan S. Hesthaven. Abstract We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves.

The split set of equations is shown to be only weakly well-posed, and ill-posed under small low order perturbations. On the analysis and construction of perfectly matched layers for the linearized Euler equations.

We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves. The split set of equations is shown to be only weakly well-posed, and ill-posed under small low order by: considering the linear equations.

Several attempts have succeeded in studying the physics of jet noise based on a simplified form of the linearized Euler Equations (e.g., Ref. The linearized Euler equationsFile Size: KB. () A Perfectly Matched Layer absorbing boundary condition for linearized Euler equations with a non-uniform mean flow.

Journal of Computational Physics() New constructions of perfectly matched layers for the linearized Euler by: A preconditioner for this problem is done exactly as in the small disturbance equations using (60)-(62). It is also possible to construct the preconditioner based on solution of the linearized Euler equations, but is more complicated and unnecessary.

Hesthaven, J.S., On the analysis and construction of perfectly matched layers for the linearized Euler equations. Comput. Phys. v i1. Google Scholar [4]. Hagstrom, T., A new construction of perfectly matched layers for hyperbolic systems with applications to the linearized Euler : DohnalTomáš.

Stabilized Perfectly Matched Layer for Advective Acoustics. ‘On the Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations’. In: J. Comp. Phys., Google Scholar.

Hu: ‘On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer’. In: J Cited by: Page - On Absorbing Boundary Conditions for Linearized Euler Equations by a Perfectly Matched Layer" Journal of Computational Physics.

Appears in 22 books from Page - WP Huang, CL Xu, W. Lui and K. Yokoyama, 'The perfectly matched layer (PML) boundary condition for the beam propagation method, .

Get this from a library. The analysis and construction of perfectly matched layers for linearized Euler equations. [J S Hesthaven; Langley Research Center.]. The perfectly matched layer absorbing boundary condition has proven to be very efficient for the elastic wave equation written as a first-order system e.g.

linearized Euler equations (Hesthaven ), eddy-current problems On the analysis and construction of perfectly matched layers for the linearized Euler equations,Cited by: A new construction of perfectly matched layers for the linearized Euler equations Fr´ed´eric Nataf∗ February 1st, Abstract Based on a PML for the advective wave equation, we propose two PML models for the linearized Euler equations.

The derivation of the ﬁrst model can be applied to other physical models. The second model was.Perfectly Matched Layer (PML) is a technique for developing non-reflecting boundary conditions. PML for linearized Euler equations, as well as its extension to the nonlinear Euler and Navier-Stokes equations, have been developed recently for computational grid in .