Analysis of stability and convergence in FD simulations of the 1-D ultrasonic wave propagation

Authors:
P. P. Delsanto;D. Iordache;C. Iordache;E. Ruffino
Affiliations:
INFM, Dipartimento di Fisica del Politecnico di Torino Torino, Italy;Cat. Fizica, Universitatea Politehnica Bucuresti Bucuresti, Romania;Computer Science Department, Southern Methodist University Dallas, TX, U.S.A.;INFM, Dipartimento di Fisica del Politecnico di Torino Torino, Italy
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1997

Citing 2
Cited 2

Finite difference schemes and partial differential equations

Finite difference schemes and partial differential equations
Pulse distortions in the FD simulation of elastic wave propagation

Mathematical and Computer Modelling: An International Journal

Numerical analysis of some typical finite differences simulations of the waves propagation through different media

ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
Pulse distortions in the FD simulation of elastic wave propagation

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.98

Visualization

Abstract

Finite difference (FD) methods are a well established tool for studying the propagation of pulses and waves in nonelementary media. In the present paper, we analyze some different FD schemes for smoothing the interface between two different media, and study their stability and convergence. We find that an improper choice of interface model may lead to unstable or pseudoconvergent recurrence relationships and cause severe errors in the amplitudes of both the reflected and transmitted pulses.