Kavli Affiliate: Xian Chen
| First 5 Authors: Lei Zhang, Han Yan, Xian Chen, Jinhai Zhang,
| Summary:
Previous studies of the response of the Moon to gravitational waves have been
carried out using analytical or semi-analytical models assuming ideal lunar
structures. Such models are advantageous for their high-speed calculation but
fail to account for the extremely heterogeneous subsurface and/or interior
structures of the Moon. Numerical calculations are needed, but it is
challenging to model the topography and lateral heterogeneity of the Moon. In
addition, the computational cost is great especially when performing the GW
simulation for a long time. As a first step towards overcoming the above
difficulties, we employ a two-dimensional finite element method to numerically
simulate the lunar response to gravitational waves. We verify our method by
comparing our numerical results with those semi-analytical solutions. Based on
such comparison, we also analyze the limitation of the two-dimensional
simulation. Our work breaks a new way towards the precise simulation of
realistic lunar response to gravitational waves in the future and lays down a
solid foundation for three-dimensional numerical simulations.
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