Acoustic Modeling Using the Aeroacoustic Wave Equation Based on Pierce’s Operator

Operator Upscaling for the Acoustic Wave Equation

Modeling of wave propagation in a heterogeneous medium requires input data that varies on many different spatial and temporal scales. Operator-based upscaling allows us to capture the effect of the fine scales on a coarser domain without solving the full fine-scale problem. The method applied to the constant density, variable sound velocity acoustic wave equation consists of two stages. First, ...

Acoustic Tomography Based on Wave Equation

In the forward problem of acoustic tomography, one needs to be able to implement the wave equation numerically and find the values at each receiver point. In this research the possible solutions are studied and their properties are discussed and one proposed algorithm is selected as the satisfactory result in the sense of less numerical dispersion. Stability conditions for these algorithms are ...

Acoustic wave-equation-based earthquake location

Theoretical and Numerical Modeling of Acoustic Metamaterials for Aeroacoustic Applications

Abstract: The advent, during the first decade of the 21st century, of the concept of acoustic metamaterial has disclosed an incredible potential of development for breakthrough technologies. Unfortunately, the extension of the same concepts to aeroacoustics has turned out to be not a trivial task, because of the different structure of the governing equations, characterized by the presence of th...

A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients

This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions. The construction of the nonstandard method is based on the special treatment of the interface using suitable jump conditio...