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Book Towards Perfectly Absorbing Boundary Conditions for Euler Equations

Download or read book Towards Perfectly Absorbing Boundary Conditions for Euler Equations written by M. Ehtesham Hayder and published by . This book was released on 1997 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we examine the effectiveness of absorbing layers as non-reflecting computational boundaries for the Euler equations. The absorbing-layer equations are simply obtained by splitting the governing equations in the coordinate directions and introducing absorption coefficients in each split equation. This methodology is similar to that used by Berenger for the numerical solutions of Maxwell's equations. Specifically, we apply this methodology to three physical problems - shock-vortex interactions, a plane free shear flow and an axisymmetric jet, with emphasis on acoustic wave propagation. Our numerical results indicate that the use of absorbing layers effectively minimizes numerical reflection in all three problems considered.

Book Absorbing Boundaries and Layers  Domain Decomposition Methods

Download or read book Absorbing Boundaries and Layers Domain Decomposition Methods written by L. Tourrette and published by Nova Publishers. This book was released on 2001 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM contains: Sections omitted from printing of text.

Book The Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations

Download or read book The Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1997 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Analysis and Construction of Perfectly Matched Layers for Linearized Euler Equations

Download or read book The Analysis and Construction of Perfectly Matched Layers for Linearized Euler Equations written by Jan S. Hesthaven and published by . This book was released on 1997 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Analysis and Application of Perfectly Matched Layer Absorbing Boundary Conditions for Computational Aeroacoustics

Download or read book Analysis and Application of Perfectly Matched Layer Absorbing Boundary Conditions for Computational Aeroacoustics written by Sarah Anne Parrish and published by . This book was released on 2008 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Topics in Computational Wave Propagation

Download or read book Topics in Computational Wave Propagation written by Mark Ainsworth and published by Springer. This book was released on 2011-09-27 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts. Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. The articles describe a wide range of topics on the application and analysis of methods for time and frequency domain PDE and boundary integral formulations of wave propagation problems. Electromagnetic, seismic and acoustic equations are considered. Recent developments in methods and analysis ranging from finite differences to hp-adaptive finite elements, including high-accuracy and fast methods are described with extensive references.

Book Absorbing Boundary Conditions for the Linearized Euler Equations in 2 D

Download or read book Absorbing Boundary Conditions for the Linearized Euler Equations in 2 D written by D. Kröner and published by . This book was released on 1990 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book IUTAM Symposium on Computational Methods for Unbounded Domains

Download or read book IUTAM Symposium on Computational Methods for Unbounded Domains written by Thomas L. Geers and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the 1997 IUTAM Symposium, where invited researchers in acoustics, aeronautics, elastodynamics, electromagnetics, hydrodynamics, and mathematics discussed non-reflecting computational boundaries. The participants formulated benchmark problems for evaluating computational boundaries, as described in the first article.

Book Computational Fluid Dynamics

Download or read book Computational Fluid Dynamics written by Jiri Blazek and published by Butterworth-Heinemann. This book was released on 2015-04-23 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid Dynamics: Principles and Applications, Third Edition presents students, engineers, and scientists with all they need to gain a solid understanding of the numerical methods and principles underlying modern computation techniques in fluid dynamics. By providing complete coverage of the essential knowledge required in order to write codes or understand commercial codes, the book gives the reader an overview of fundamentals and solution strategies in the early chapters before moving on to cover the details of different solution techniques. This updated edition includes new worked programming examples, expanded coverage and recent literature regarding incompressible flows, the Discontinuous Galerkin Method, the Lattice Boltzmann Method, higher-order spatial schemes, implicit Runge-Kutta methods and parallelization. An accompanying companion website contains the sources of 1-D and 2-D Euler and Navier-Stokes flow solvers (structured and unstructured) and grid generators, along with tools for Von Neumann stability analysis of 1-D model equations and examples of various parallelization techniques. Will provide you with the knowledge required to develop and understand modern flow simulation codes Features new worked programming examples and expanded coverage of incompressible flows, implicit Runge-Kutta methods and code parallelization, among other topics Includes accompanying companion website that contains the sources of 1-D and 2-D flow solvers as well as grid generators and examples of parallelization techniques

Book Perfectly Matched Layer  PML  for Computational Electromagnetics

Download or read book Perfectly Matched Layer PML for Computational Electromagnetics written by Jean-Pierre Bérenger and published by Springer Nature. This book was released on 2022-06-01 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture presents the perfectly matched layer (PML) absorbing boundary condition (ABC) used to simulate free space when solving the Maxwell equations with such finite methods as the finite difference time domain (FDTD) method or the finite element method. The frequency domain and the time domain equations are derived for the different forms of PML media, namely the split PML, the CPML, the NPML, and the uniaxial PML, in the cases of PMLs matched to isotropic, anisotropic, and dispersive media. The implementation of the PML ABC in the FDTD method is presented in detail. Propagation and reflection of waves in the discretized FDTD space are derived and discussed, with a special emphasis on the problem of evanescent waves. The optimization of the PML ABC is addressed in two typical applications of the FDTD method: first, wave-structure interaction problems, and secondly, waveguide problems. Finally, a review of the literature on the application of the PML ABC to other numerical techniques of electromagnetics and to other partial differential equations of physics is provided. In addition, a software package for computing the actual reflection from a FDTD-PML is provided. It is available here.

Book Development of Perfectly Matched Layer Numerical Boundary Condition in a Generalized Coordinate System

Download or read book Development of Perfectly Matched Layer Numerical Boundary Condition in a Generalized Coordinate System written by Srinivasa Perumal Velu and published by . This book was released on 2013 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research activity leading to this dissertation focused on the boundary treatment for computational fluid dynamics problems, especially those with unbounded domains. This involved a rigorous literature survey of boundary treatment techniques. The primary interest of this effort was on one of the emerging concepts of nonreflecting boundary treatment for numerical schemes, namely the perfectly matched layer (PML) absorbing technique. The need for an appropriate space-time transformation for a stable PML emphasized in previous efforts was the starting point for this developmental research activity. Based on this, unsplit PML equations were constructed for Euler equations linearized over a uniform mean flow with a proper space-time transformation. Dispersion analysis was carried out to demonstrate the effectiveness of the space-time transformation in terms of stability of the PML formulation. Numerous numerical simulations were carried out to investigate the stability of the PML formulation for long-term integration of various combinations of time-step size and PML parameters. The major focus of this research was to extend the construction of the PML for nonlinear Euler equations in a generalized coordinate system to widen its application in uniform and nonuniform grid structures. Emphasis was placed on the application of conventional numerical schemes without employing any form of artificial dissipation or numerical filtering. With this objective in mind, the split-form PML equations for nonlinear Euler equations were constructed. Various numerical simulations were carried out to validate the PML formulation and demonstrate its effectiveness as an absorbing boundary condition.

Book Computational Fluid Dynamics  Principles and Applications

Download or read book Computational Fluid Dynamics Principles and Applications written by Jiri Blazek and published by Elsevier. This book was released on 2001-05-11 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid Dynamics: Principles and Applications

Book Computational Aeroacoustics

Download or read book Computational Aeroacoustics written by Christopher K. W. Tam and published by Cambridge University Press. This book was released on 2012-09-28 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both a textbook for graduate students with exercises and a reference with code for researchers in computational aeroacoustics (CAA).