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This work presents a finite-difference scheme to study the scattering of sound in the time-domain. It can be applied to heterogeneous fluids in any dimensionality. The scheme is based on the split-operator technique introduced in quantum mechanics to solve the time-dependent Schrödinger equation. This scheme presents advantages in comparison with the usual finite-difference time-domain algorithms. Its main characteristics are: a) its precision is of the order (Δ t ) 3 ; b) it can work with non-homogeneous space-discretizations; and c) it satisfies the energy conservation law. Here, the scheme is also applied to solve four simple tests cases in one-dimensional space.

Sound propagation in the time-domain by the Split-Operator technique