oaioai:CiteSeerX.psu:10.1.1.602.3181

THE DISCONTINUOUS GALERKIN METHOD TO SOLVE THE NON-CONSERVATIVE SEISMIC WAVE EQUATIONS FOR LARGE-SCALE APPLICATIONS IN GEOSCIENCE

Abstract

Abstract. We present a Discontinuous Galerkin (DG) finite element method combined with an time integration procedure using Arbitrarily high-order DERivatives (ADER) of the ap-proximation polynomials to simulate seismic wave propagation. The numerical scheme can handle hexahedral and tetrahedral meshes, non-conforming mesh transitions and is therefore suitable for geometrically complex computational domains. The scheme provides high-order accuracy in space and time using spatial polynomials of high degree inside each element, an exact solution of the generalized Riemann problem and a high-order time integration method based on the Taylor series expansion and Cauchy-Kowalewski procedure. A static velocity-dependent adaptation strategy uses locally refined meshes in areas with low wave speeds to improve the approximation quality. Local time stepping, hp-adaptation and high-order ap-proximation of material properties inside an element can be used to enhance computational efficiency. Furthermore, a variety of different physical material properties can be considered to calculate accurate synthetic data for realistic wave propagation scenarios in different fields of seismological applications ranging from earthquake to exploration seismology. The implemen-tation of the parallel code allows for the use of High-Performance-Computing (HPC) facilitie

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oaioai:CiteSeerX.psu:10.1.1.602.3181Last time updated on 10/29/2017

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