Fast evaluation of transient acoustic fields

Carley, Michael

doi:10.1121/1.4941251

Cited by 2 publications

(2 citation statements)

References 15 publications

(29 reference statements)

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“…In this work, all transforms are computed using the efficient library SHTns [30]. This library has been highly optimized and designed for numerical simulations of fluids in spheres [31,32], but is used across a variety of fields like atmospheric and climate sciences [33,34], astrophysics [35] or acoustics [36]. It has also been employed to solve the SWE [37].…”

Section: Space Discretization With Spherical Harmonicsmentioning

confidence: 99%

Exponential integrators with parallel-in-time rational approximations for the shallow-water equations on the rotating sphere

2019

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High-performance computing trends towards many-core systems are expected to continue over the next decade. As a result, parallel-in-time methods, mathematical formulations which exploit additional degrees of parallelism in the time dimension, have gained increasing interest in recent years. In this work we study a massively parallel rational approximation of exponential integrators (REXI). This method replaces a time integration of stiff linear oscillatory and diffusive systems by the sum of the solutions of many decoupled systems, which can be solved in parallel. Previous numerical studies showed that this reformulation allows taking arbitrarily long time steps for the linear oscillatory parts.The present work studies the non-linear shallow-water equations on the rotating sphere, a simplified system of equations used to study properties of space and time discretization methods in the context of atmospheric simulations. After introducing time integrators, we first compare the time step sizes to the errors in the simulation, discussing pros and cons of different formulations of REXI. Here, REXI already shows superior properties compared to explicit and implicit time stepping methods. Additionally, we present wallclock-time-to-error results revealing the sweet spots of REXI obtaining either an over 6× higher accuracy within the same time frame or an about 3× reduced time-to-solution for a similar error threshold. Our results motivate further explorations of REXI for operational weather/climate systems.

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Section: Space Discretization With Spherical Harmonicsmentioning

confidence: 99%

Exponential integrators with parallel-in-time rational approximations for the shallow-water equations on the rotating sphere

2019

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“…Recently, one of us 7 has developed a method based on time-domain spherical harmonics which uses a relatively small number of near-field evaluations to generate a multipole expansion which can be used to compute the radiated field outside some surface enclosing the source. The method is quite general and requires only pressure evaluations on a set of spherical surfaces around the source.…”

Section: Introductionmentioning

confidence: 99%

Fast computation of time-dependent acoustic fields

Carley

Ghorbaniasl

2016

The Journal of the Acoustical Society of America

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A method for the fast evaluation of time-dependent acoustic fields from complex sources is presented. The technique is based on a fast integration method for the boundary integral arising in a Kirchhoff formulation and requires a small, and roughly constant, computation time to compute a transient signal, at the expense of a pre-processing stage. In the calculations in this paper, based on test cases for a single rotor, a counter-rotating open rotor, and a broadband volume source, it is found that transient field calculations require an order of magnitude less computational time for the field from an array of 16 384 sources, a computational advantage that increases with source number.

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Fast evaluation of transient acoustic fields

Cited by 2 publications

References 15 publications

Exponential integrators with parallel-in-time rational approximations for the shallow-water equations on the rotating sphere

Exponential integrators with parallel-in-time rational approximations for the shallow-water equations on the rotating sphere

Fast computation of time-dependent acoustic fields

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