Generation of smooth grids with line control for scattering from multiple obstacles

Villamizar, Vianey; Acosta, Sebastián

doi:10.1016/j.matcom.2009.01.006

Cited by 12 publications

(14 citation statements)

References 9 publications

(23 reference statements)

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“…Villamizar and Acosta [19] presented a grid generation algorithm for 2D multiply connected regions with multiple holes of complex geometry. They applied the algorithm to generate a grid for a finite difference scheme, and to numerically solve acoustic MS problems and estimate the pressure field over geometrically complex configurations.…”

Section: Background Reviewmentioning

confidence: 99%

Acoustic multiple scattering using recursive algorithms

Amirkulova

Norris

2015

Journal of Computational Physics

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Section: Background Reviewmentioning

confidence: 99%

Acoustic multiple scattering using recursive algorithms

Amirkulova

Norris

2015

Journal of Computational Physics

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“…The mathematical transformation T between coordinate systems, introduced by Villamizar and Acosta, is adopted, 19 ax nn À 2bx ng þ cx gg ¼ Àawðn; gÞx n À c/ðn; gÞx g ; (11) ay nn À 2by ng þ cy gg ¼ Àawðn; gÞy n À c/ðn; gÞy g ; (12) where w ¼ a n /2a and / ¼ c g /2c are known as grid control functions. A more conventional conformal map was first introduced by Winslow, 20 which uses the same equations given in Eqs.…”

Section: The Mathematical Problemmentioning

confidence: 99%

“…23 While others have introduced usable techniques for improving grid generation on complex structures, [20][21][22] the grid-generation technique given here is fully automatic, 23 more stable, 24 and has even been shown to outperform grids created by ANSYS (a popular computer-aided engineering software package) when including a sharp corner. 19 Villamizar and Acosta have continued to develop a variety of curvilinear grids, similar to that used here, and have applied them to scattering from multiple nonconventional objects in two-dimensions. 24,25 III.…”

Section: Discretizationmentioning

confidence: 99%

Finite-difference simulations of transient radiation from a finite-length pipe

Tengelsen

Anderson

Villamizar

et al. 2014

The Journal of the Acoustical Society of America

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The far-field radiation originating from a finite-length pipe is well studied, especially for steady-state conditions. However, because all physical systems do not begin in steady state, these radiation characteristics are only valid after the transient portion of the solution has decayed. Understanding transient radiation characteristics may be important (particularly for systems transmitting very short-duration signals), as they can differ quite significantly. A numerical complication to this problem involves dealing with a sharp corner in the domain of interest. While many numerical studies have attempted to couple solutions from the domains inside and outside a pipe, the analysis presented in this work treats the computational domain as a single region by expressing the entire physical domain as a map from a simple rectangular domain in generalized curvilinear coordinates. This method will be introduced in detail and general results of transient radiation will be presented for an infinitely baffled, finite-length pipe using the finite-difference method expressed in generalized curvilinear coordinates. Comparison will be made to previous results [P. Stepanishen and R. A. Tougas, J. Acoust. Soc. Am. 93, 3074-3084 (1993)] that used a semi-analytic approach with certain assumptions.

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“…The medium is homogeneous, i.e., n 1. This problem was previously treated in [7] using boundary conforming grids [13] coupled with local absorbing boundary conditions [8]. The wavenumber was k = 2p.…”

Section: Three Complexly Shaped Obstaclesmentioning

confidence: 99%

“…Although, their technique has potential applications to scatterers of arbitrary shape, they only presented results for obstacles in the form of circular cylinders. Another attempt was made by Villamizar and Acosta [7] where an acoustic scattering problem from three complexly shaped obstacles was numerically solved. The approximation obtained for the acoustic pressure field is illustrated in Fig.…”

Section: Introductionmentioning

confidence: 99%