A Fourier Continuation-based solver for 3D elastic wave propagation

Faisal Amlani (1) , Oscar P. Bruno (2)

1 CALTECH - California Institute of Technology
2 Computing and Mathematical Sciences [Pasadena]]

We present a spectral numerical algorithm for the fast solution of elastodynamics problems in general 3D domains based on a FFT-speed Four-ier Continuation (FC) approximation for accurate Fourier expansion of non-periodic functions. The high-order methodology yields physically correct solutions including those with traction conditions on curved boundaries. The approach is essentially without dispersion errors; entails mild CFL constraints; runs at a cost scaling linearly with discretization size; and can be efficiently parallelized for computing clusters.

Mots clés: Fourier Continuation; elastic wave equation; high-performance numerical methods

Domaines: Mathématiques [math]

Faisal Amlani, Oscar P. Bruno. A Fourier Continuation-based solver for 3D elastic wave propagation. WAVES 2017 - 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, May 2017, Minneapolis, United States. ⟨hal-01598243⟩