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Multi-grid Chebyshev Parallel Spectral Element Method for Simulation of Elastic Wave Propagation in Complex Media

A multi-grid, elastic wave equation technology, applied in the field of high-performance computing, can solve the problems of obstructing spectral element method and consuming computing time, so as to reduce the calculation scale, reduce the storage space and calculation amount, and simplify the division of cells. Effect

Active Publication Date: 2016-09-28
INST OF ACOUSTICS CHINESE ACAD OF SCI
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Problems solved by technology

Considering the sparse nature of the global matrix, the global matrix and phasor multiplication consumes a lot of computing time
[0011] The above two points have greatly hindered the large-scale practical application of spectral element method in geophysics, engineering seismology, computational acoustics and other fields

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  • Multi-grid Chebyshev Parallel Spectral Element Method for Simulation of Elastic Wave Propagation in Complex Media
  • Multi-grid Chebyshev Parallel Spectral Element Method for Simulation of Elastic Wave Propagation in Complex Media
  • Multi-grid Chebyshev Parallel Spectral Element Method for Simulation of Elastic Wave Propagation in Complex Media

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Embodiment Construction

[0028] The present invention will be described in detail, clearly and completely below in conjunction with the accompanying drawings and specific embodiments. Apparently, the described embodiments are only some of the embodiments of the present invention, but not all of them. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without creative efforts fall within the protection scope of the present invention.

[0029] For the traditional spectral element method, there can only be a single homogeneous medium in each unit. When performing elastic wave simulation in complex media with multi-scale structures, it is necessary to divide a large number of irregular small units, which consumes a lot of storage space and calculation time. The present invention proposes a multi-grid Chebyshev parallel spectral element method, which divides the calculation area into relatively large and regular non-overlapping units, u...

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Abstract

The invention discloses a multi-grid Chebyshev parallel spectrum element method. The method includes: a. Divide the calculation area into large and regular cells; b. Define the main grid and the auxiliary grid in the unit, the main grid is the Chebyshev configuration point; c. Use the main grid to divide the unit The wave field is truncated by Chebyshev, and the medium parameters and external forces in the element are truncated and expanded by using the auxiliary grid; d. Substitute the truncated expansions of the wave field, medium parameters, and external forces into the wave equation to obtain the element mass matrix and element stiffness matrix and the element external force vector; e. Based on the element mass matrix, element stiffness matrix and element external force vector of each element, the elastic wave equation is solved on the main grid.

Description

technical field [0001] The invention relates to high-performance computing in the fields of geophysics, engineering seismology, computational acoustics, and the like. Background technique [0002] The simulation of elastic wave propagation in complex media plays an important role in the fields of geophysics, engineering seismology and computational acoustics. How to find a numerical simulation method that is more accurate, faster, and more suitable for parallelization has always been the goal and focus of researchers in related fields at home and abroad. [0003] Numerical methods currently widely used in the simulation of elastic wave equations mainly include finite difference method, finite element method, pseudospectral method, and spectral element method. They have their own advantages and disadvantages and are applied in different fields. [0004] The finite difference method approximates the derivative in the equation with a difference, thus transforming the partial ...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
Inventor 苏畅G·塞里安尼林伟军
Owner INST OF ACOUSTICS CHINESE ACAD OF SCI
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