Automated Selection of the Computational Parameters for the Higher-Order Parabolic Equation Numerical Methods

Lytaev, Mikhail S.

doi:10.1007/978-3-030-58799-4_22

Cited by 7 publications

(1 citation statement)

References 31 publications

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“…Previously [38], the problem of computational grid optimization was formulated as the minimization of the discrete dispersion relation error. However, this approach did not take into account variations in the refractive index, which are highly significant in underwater acoustics.…”

Section: Introductionmentioning

confidence: 99%

Mesh Optimization for the Acoustic Parabolic Equation

Lytaev

2023

JMSE

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This work is devoted to increasing the computational efficiency of numerical methods for the one-way Helmholtz Equation (higher-order parabolic equation) in a heterogeneous underwater environment. The finite-difference rational Padé approximation of the propagation operator is considered, whose artificial computational parameters are the grid cell sizes and reference sound speed. The relationship between the parameters of the propagation medium and the artificial computational parameters is established. An optimized method for automatic determination of the artificial computational parameters is proposed. The optimization method makes it possible to account for any propagation angle and arbitrary variations in refractive index. The numerical simulation results confirm the adequacy and efficiency of the proposed approach. Automating the selection process of the computational parameters makes it possible to eliminate human errors and avoid excessive consumption of computational resources.

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Section: Introductionmentioning

confidence: 99%