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Performance of the Double Absorbing Boundary Method when Applied to the 3D Acoustic Wave Equation

Toby Potter, Jeffrey Shragge, David Lumley
2015 ASEG Extended Abstracts  
Reproducible examples were completed using the Madagascar software package (  ...  ACKNOWLEDGMENTS We wish to thank the UWA:RM industry consortium sponsors for providing partial funding to support this research.  ...  The Double Absorbing Boundary method The Double Absorbing Boundary (DAB) (Hagstrom et al. 2014 ) is a recent variant on the ABC technique.  ... 
doi:10.1071/aseg2015ab010 fatcat:t2omkzpojffjvl2z5vedupdaxq

The double absorbing boundary method for elastodynamics in homogeneous and layered media

Daniel Rabinovich, Dan Givoli, Jacobo Bielak, Thomas Hagstrom
2015 Advanced Modeling and Simulation in Engineering Sciences  
Recently the Double Absorbing Boundary (DAB) method was introduced as a new approach for solving wave problems in unbounded domains.  ...  Methods: The DAB method is based on truncating the unbounded domain to produce a finite computational domain, and on applying a local high-order ABC on two parallel artificial boundaries, which are a small  ...  In the new method, called the Double Absorbing Boundary (DAB) method, a high-order ABC is applied on two parallel artificial boundaries, which are a small distance apart.  ... 
doi:10.1186/s40323-015-0026-8 fatcat:hbbopeqpajfe3fkribpk7eyasm

Correlations for Double Flow Double Pass SAH with Smooth Absorber Plate

2011 International Journal of Current Engineering and Technology  
The method of using Artificial Roughness (AR) on absorber plate is best option to increase heat transfer rate significantly and gives better results than any other method.  ...  For good thermohydraulic performance, double flow-double pass arrangement is used. This investigation presents correlations for double flow-double pass SAH having smooth aluminum plate as absorber.  ...  As the absorber plate was being heated from one side, the boundary condition for the wall was having uniform temperature of 313 K.  ... 
doi:10.14741/ijcet/22774106/spl.5.6.2016.21 fatcat:t77afdw4pbap5fyvry7t3zynkq

Analysis of antireflection coatings using the FD-TD method with the PML absorbing boundary condition

J. Yamauchi, M. Mita, S. Aoki, H. Nakano
1996 IEEE Photonics Technology Letters  
Abstvact-A step-index optical waveguide with an antireflection 1.1 coating is analyzed using the finite-difference time-domain (FD-TD) method combined with the perfectly matched layer absorbing boundary  ...  The analysis of a double-layer coating reveals the transient behavior of reflected fields.  ...  ACKNOWLEDGMENT The authors wish to thank Mr. M. Nibe for his assistance in computations.  ... 
doi:10.1109/68.484253 fatcat:pls7jtmtbbak7f76tzv4ftctre

Effects of Gas Radiation on Thermal Performances of Single and Double Flow Plane Solar Heaters

2020 International Journal of Engineering  
The laminar mixed convection gas flow in the heaters was numerically simulated by the CFD method using the finite volume technique.  ...  Besides, the radiative transfer equation was solved by the discrete ordinate method for radiant intensity computation.  ...  One of the promising methods is using double flow solar air heaters, in which the surface area between the gas flow and absorber plate is doubled by passing two airflows from above and below the absorber  ... 
doi:10.5829/ije.2020.33.06c.14 fatcat:6jt3msxq3fhofld2y6iimct2ya

Page 567 of Mathematical Reviews Vol. , Issue 90A [page]

1990 Mathematical Reviews  
It is shown that such a boundary condition can be made fully absorbing to plane S and P waves, and the Rayleigh waves if their propagation direction is normal to the absorbing boundary.  ...  In the second approach they construct a family of boundary conditions that is based on products of absorbing boundary condi- tions, reminiscent of R. L. Higdon’s work [Math.  ... 

An optimized absorbing potential for ultrafast, strong-field problems

Youliang Yu, B D Esry
2018 Journal of Physics B: Atomic, Molecular and Optical Physics  
Since most strong-field observables relate to the continuum portion of the wave function, the boundaries of the grid---which act as hard walls and thus cause reflection---can substantially impact the observables  ...  By comparing with previous widely used absorbing potentials, we find a factor of 3--4 reduction in the absorption range, given the same level of absorption over a specified energy interval.  ...  Among the various methods to effect absorption at the boundary, the most widely used -and probably the simplest -method is the complex absorbing potential (CAP) [4] [5] [6] [7] [8] [9] [10] [11] [12]  ... 
doi:10.1088/1361-6455/aab5d6 fatcat:sy56m2bhazgkza4725cp6cnd2q

Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain

Houde Han, Zhiwen Zhang
2008 Journal of Computational Physics  
Split local absorbing boundary (SLAB) conditions are obtained by the operator splitting method, then the original problem is reduced to an initial boundary value problem on a bounded computational domain  ...  , which can be solved by the finite difference method.  ...  Acknowledgment This work is supported by the National Natural Science Foundation of China (Grant No. 10471073).  ... 
doi:10.1016/ fatcat:h5in2vpznjbwveprdopyqpicki

The role of final state correlation in double ionization of helium: a master equation approach [article]

Sølve Selstø, Tore Birkeland, Simen Kvaal, Raymond Nepstad, Morten Førre
2010 arXiv   pre-print
Then, the double ionization probability is found by means of a recently developed approach in which the concept of absorbing boundaries has been generalized to apply to systems consisting of more than  ...  The agreement between the methods provides a strong indication that procedures using projections onto uncorrelated continuum states are adequate when extracting total cross sections for the direct double  ...  The diamonds are calculated by the method involving absorbing boundaries and the Lindblad equation. ).  ... 
arXiv:1006.1984v2 fatcat:e7l7ffxb3fe2behaevdupe5fpq

The finite layer method for modelling the sound transmission through double walls

Cristina Díaz-Cereceda, Jordi Poblet-Puig, Antonio Rodríguez-Ferran
2012 Journal of Sound and Vibration  
The finite layer method (FLM) is presented as a discretisation technique for the computation of noise transmission through double walls.  ...  They range from impedance models of the double wall behaviour to different numerical methods for solving the Helmholtz equation in the cavity.  ...  Acknowledgements The financial support of the Ministerio de Educación y Ciencia (FPU scholarship program) and the Col·legi d'Enginyers de Camins, Canals i Ports is gratefully acknowledged.  ... 
doi:10.1016/j.jsv.2012.06.001 fatcat:pit5wbpbyng7nisplh7l2xkjbi

Page 5737 of Mathematical Reviews Vol. , Issue 2000h [page]

2000 Mathematical Reviews  
The well- posedness of the initial-boundary value problem of the absorbing boundary condition, coupled to the interior Schrédinger equation, is also discussed.  ...  Previously published absorbing boundary conditions are shown to reduce to special cases of this absorbing boundary condition.  ... 

Crash Analysis Of Light Motor Vehicle Bumper System

Alok Kumar Garje, Ravikant B Mulage
2017 Zenodo  
The stress distribution, deflection and energy absorbed by the Bumper Beam for various materials is compared along with the cross-sections Finite element method is used to perform the crash analysis.  ...  The various Cross-section of the Bumper Beam are C Section, Hat Section and Double Hat Section. The Impact Conditions are as per the "Federal Motor Vehicle Safety Standards (FMVSS)".  ...  The Fig1 shows the CAD model of Bumper Beam. The finite element method (FEM) is a numerical technique for finding approximate solutions to boundary value problems for partial differential equations.  ... 
doi:10.5281/zenodo.1123499 fatcat:kfvqf2lfarhl5ig4w2sdhak2zq

Numerical aspects of real-space approaches to strong-field electron dynamics

Astrid S. de Wijn, Stephan Kümmel, Manfred Lein
2007 Journal of Computational Physics  
A scheme is presented to efficiently obtain the ground state with high accuracy. We further demonstrate that the commonly-used absorbing boundary conditions can severely influence the results.  ...  We present details of a method to reconstruct, numerically, the full, unapproximated, Kohn-Sham potential from the density and current of the exact system.  ...  absorbed at the boundaries.  ... 
doi:10.1016/ fatcat:5duruo4y4zehzfmadqxskuxfbm

A Domain Decomposition Method with Fast Convergence for the Helmholtz Equation

Denis Duhamel
2019 Proceedings of the ICA congress  
In this work, we present a domain decomposition method based on two main features. The first one is to use extended domains with absorbing boundary conditions.  ...  Solving the Helmholtz equation by finite element methods is quite important in acoustics.  ...  absorbing conditions at the exterior boundary.  ... 
doi:10.18154/rwth-conv-239707 fatcat:zwhhaslfbfe2borbopeofzxrxq

Implementation of the infinite-range exterior complex scaling to the time-dependent complete-active-space self-consistent-field method

Yuki Orimo, Takeshi Sato, Armin Scrinzi, Kenichi L. Ishikawa
2018 Physical Review A  
A 81, 053845 (2010)] as an efficient absorbing boundary to the time-dependent complete-active-space self-consistent field (TD-CASSCF) method [Phys. Rev.  ...  (~ 50%) double ionization.  ...  One of the key issues in numerical implementations of the TD-MCSCF methods is an absorbing boundary that absorbs the photoelectron wave packet when it reaches the end of the spatial grid and suppresses  ... 
doi:10.1103/physreva.97.023423 fatcat:3h6ivaipd5btvjdvp3o2qbvshm
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