Effect of Grid Size on Cutoff Frequency in the Numerical Solution of an Elastic One-dimensional Wave Propagation Problem

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The Waterways Experiment Station one-dimensional (1D) finite difference ground motion calculation code was used to investigate the influences of grid size and acceleration convergence criteria on cutoff-frequency phenomena in the numerical solution of an elastic 1D wave propagation problem. Rise time to peak stress or particle velocity was shown to increase with increaaed grid size. In addition, the coarser the grid, the greater will be the overshoot of peak stress and velocity. Increasing AMIN, the acceleration convergence error tolerance in the code's numerical integration scheme, had a significant effect on the amplitudes but not the frequency of the oscillations that occurred in the 1D elastic finite difference computer code calculations. (Author).