Rapid numerical simulation method for element-by-element parallel strong ground motion

Abstract

The invention discloses a rapid numerical simulation method for element-by-element parallel strong ground motion. The method comprises the following steps: 1) transforming a hexahedron unit into a standard cube unit through isoparametric transformation; 2) averagely distributing hexahedron units obtained by spatial discretization to a plurality of calculation cores for parallel calculation; 3) adopting high-order Lagrange interpolation on each unit to obtain an interpolation polynomial, and directly performing approximation on the spatial differential operator by utilizing interpolation multiple terms to form a unit stiffness matrix; 4) performing product operation of the element stiffness matrix and the solution vector on the calculation core; and 5) realizing communication between the process pairs according to a product operation result in a cache communication mode. In the theoretical framework of the spectral element method, the element-by-element parallel algorithm for directly solving the seismic wave motion equation is developed, the calculation amount of seismic wave numerical simulation is effectively reduced by improving the spatial discrete format of the traditional spectral element method and adopting a more efficient parallel calculation communication mode, the seismic wave parallel calculation efficiency is improved, and high-efficiency and high-precision strong ground movement becomes reality.

Description

technical field [0001] The invention belongs to the technical field of seismic data processing, for example, analysis, interpretation, and correction, and in particular relates to a fast numerical simulation method for element-by-element parallel strong ground motion in the field of earthquake disaster emergency response. Background technique [0002] Fast numerical simulation of strong ground motion is crucial for disaster judgment and emergency rescue in earthquake areas; the commonly used strong ground motion method is the stochastic method, which superimposes the dynamic inflection point spectrum on random noise, and considers the attenuation of seismic waves along the path and geometric diffusion effect, so as to quickly synthesize strong ground motion. Although the stochastic method has achieved good results in the practical application of strong ground motion and provided key reference information for earthquake disaster assessment, this method lacks mathematical logic...

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