A high-order multiscale finite-element method for time-domain acoustic-wave modeling

Accurate and efficient wave equation modeling is vital for many applications in such as acoustics, electromagnetics, and seismology. However, solving the wave equation in large-scale and highly heterogeneous models is usually computationally expensive because the computational cost is directly propo...

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Vydáno v:Journal of computational physics Ročník 360; číslo C; s. 120 - 136
Hlavní autoři: Gao, Kai, Fu, Shubin, Chung, Eric T.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cambridge Elsevier Inc 01.05.2018
Elsevier Science Ltd
Elsevier
Témata:
Acoustic-wave equation
Acoustics
Basis functions
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computational efficiency
Computational physics
Computing time
Earth Sciences
Finite element analysis
Finite element method
Heterogeneous medium
Mathematical analysis
Model accuracy
Multiscale analysis
Multiscale method
Seismology
Spectral-element method
Surface acoustic waves
Test procedures
Time domain analysis
Wave equations
Finite-element method
Spectral-element method
Heterogeneous medium
Multiscale method
Acoustic-wave equation
ISSN:0021-9991, 1090-2716
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Shrnutí:Accurate and efficient wave equation modeling is vital for many applications in such as acoustics, electromagnetics, and seismology. However, solving the wave equation in large-scale and highly heterogeneous models is usually computationally expensive because the computational cost is directly proportional to the number of grids in the model. We develop a novel high-order multiscale finite-element method to reduce the computational cost of time-domain acoustic-wave equation numerical modeling by solving the wave equation on a coarse mesh based on the multiscale finite-element theory. In contrast to existing multiscale finite-element methods that use only first-order multiscale basis functions, our new method constructs high-order multiscale basis functions from local elliptic problems which are closely related to the Gauss–Lobatto–Legendre quadrature points in a coarse element. Essentially, these basis functions are not only determined by the order of Legendre polynomials, but also by local medium properties, and therefore can effectively convey the fine-scale information to the coarse-scale solution with high-order accuracy. Numerical tests show that our method can significantly reduce the computation time while maintain high accuracy for wave equation modeling in highly heterogeneous media by solving the corresponding discrete system only on the coarse mesh with the new high-order multiscale basis functions. •We develop a novel high-order multiscale finite-element method for acoustic-wave modeling in complex media.•We construct new high-order multiscale basis functions through carefully designed local problems.•Numerical results show that our method can significantly reduce the computational cost.
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LA-UR-17-28501
USDOE Office of Energy Efficiency and Renewable Energy (EERE). Geothermal Technologies Office (EE-4G)
AC52-06NA25396
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2018.01.032