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We present a Hamiltonian particle method (HPM) with a staggered particle technique for simulating seismic wave propagation. In the conventional HPM, variables (e.g. displacement, stress) are defined at the same positions. On the other hand, most seismic simulations using finite difference methods (FDM) have used staggered grid techniques for improving the numerical accuracy. In the present study, we applied the staggered technique to HPM same as FDM. We applied our method to the conventional Lamb problem and compared numerical results of HPM with those from an analytical approach in order to demonstrate the effectiveness of the staggered particle technique. Our results showed better agreements with the analytical solutions than those from HPM without the staggered particles. This indicates that the staggered particle technique can be applicable to seismic wave simulations and improve the calculation accuracy.

A Hamiltonian Particle Method With Staggered Technique for Simulating Strong Ground Motion