Abstract
A finite element approach to the calculation of nonlinear sound propagation is pro posed.The equation is discretized in space, and is then solved for time by using New mark-β integration scheme. Some numerical demonstrations are made for the non linearsound propagation of a single-shot pulse in air. Under the assumption of a weak nonlinearity, a linearized one-dimensional equation is first considered for verifying the validity of the approach. It is shown that the nonlinear wave propagation including shock formation is stably and accurately simulated by the introduction of the artificial viscosity.
