DOCTORAL DISSERTATION PROPOSAL PRESENTATION - ACCURATE MODELING OF RUPTURE DYNAMICS USING HIGH-ORDER MIMETIC OPERATORS (No. 133)
TIME:
11:00 AM
LOCATION:
GMCS-214
SPEAKER:
Otilio Rojas
Computational Science Research Center
San Diego State University
ABSTRACT:
Precise and realistic numerical modeling of seismic wave and rupture propagation has become essential for investigating earthquake physics and Earth's structure. In this work, we propose to develop a highly-accurate 2D numerical method for in-plane rupture propagation in elastic media that considers physics-based constitutive friction laws. Precise description of the complex dynamics along the rupture path (steep gradients and singularities on elastic fields) will be achieved by a combination of the traction-at-split-node (TSN) representation of faulting boundary conditions, and a high-order discretization of the coupled TSN-elastodynamics equations. Fourth- and sixth-order "mimetic" finite differences will be used for spatial differentiation, while Lax-Wendroff corrections will allow achieving fourth-order accuracy in time. This new method will be applied to the simulation of frictional sliding governed by slip-dependent, and rate- and state-dependent constitutive models.