http://arxiv.org/abs/1906.11082
A Rayleigh-Ritz with Continuous Galerkin method based approach is presented to compute the normal modes of a planet in the presence of an essential spectrum. The essential spectrum is associated with a liquid outer core. The presence of a liquid outer core requires the introduction of a mixed Continuous Galerkin finite-element approach. Our discretization utilizes fully unstructured tetrahedral meshes for both solid and fluid domains. The relevant generalized eigenvalue problem is solved by a combination of several highly parallel, computationally efficient methods. Self-gravitation is treated as an N-body problem and the relevant gravitational potential is evaluated directly and efficiently utilizing the fast multipole method. The computational experiments are performed on constant elastic balls and the isotropic version of the preliminary reference earth model (PREM) for validation. Our proposed algorithm is illustrated in fully heterogeneous models including one combined with crust 1.0.
J. Shi, R. Li, Y. Xi, et. al.
Thu, 27 Jun 19
12/62
Comments: N/A