Dispersion analysis in wave propagation using parametrized mimetic finite differences

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2017, Tutora : Pilar Queralt CapdevilaWave propagation simulations using numerical methods are subject to dispersion errors due to the discrete nature of the differentiation operator. To minimize the effects of dispersion, high-order operators are preferred to solve the wave propagation model. The mimetic finite-difference method is a family of fourth-order finite-difference operators which can be constructed by varying a set of six free parameters. In this work, I explore the effect of varying these parameters on the dispersion of elastic waves, in search of the optimal set of values to minimize this anomaly in a one-dimensional problem