The work presented in this dissertation investigates numerical simulations that solve
nonlinear ultrasonic wave propagation in both the strongly nonlinear regime, where shocks …

A finite-difference algorithm is developed for analysing the nonlinear propagation of pulsed
and harmonic ultrasonic waves in fluid media. The time domain model allows simulations …

Numerical simulations based on the Khokhlov–Zabolotskaya‐type equation are currently
used to characterize therapeutic high‐intensity focused ultrasound fields in water and to …

Presented is a brief introduction to nonlinear acoustics, a topic of increasing importance in
modern diagnostic ultrasound. Specifically treated is shock wave and harmonic production …

The Rankine-Hugoniot relation for shock wave propagation describes the shock speed of a
nonlinear wave. This paper investigates time-domain numerical methods that solve the …

The scope of this thesis is to investigate the nonlinear physics fundamental to the
progressive distortion of a bounded finite amplitude ultrasonic beam. Emphasis is placed on …

Nonlinear ultrasound forms an integrated discipline of nonlinear acoustics founded in 1755.
A short outline of the state-of-the-art in nonlinear ultrasound in 1960 forms the introduction to …

A time-domain numerical code based on the constitutive relations of nonlinear acoustics for
simulating ultrasound propagation is presented. To model frequency power law attenuation …

Numerical modeling of high‐intensity focused sound beams is important for medical
applications of ultrasound. The KZK equation, which may be modified to include relaxation …

A numerical model is used to investigate finite amplitude ultrasound propagation through
multiple layers of tissue-like media. This model uses a finite difference method to solve the …