Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation
| Autor: | Markus Muhr, Barbara Wohlmuth, Vanja Nikolić |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Numerical Analysis Physics and Astronomy (miscellaneous) business.industry Applied Mathematics Acoustics Ultrasound Self adaptive Numerical Analysis (math.NA) 010103 numerical & computational mathematics Wave equation 01 natural sciences Finite element method Computer Science Applications 010101 applied mathematics Computational Mathematics Nonlinear acoustics Angle of incidence (optics) Modeling and Simulation FOS: Mathematics Particle velocity Boundary value problem Mathematics - Numerical Analysis 0101 mathematics business |
| Popis: | We propose a self-adaptive absorbing technique for quasilinear ultrasound waves in two- and three-dimensional computational domains. As a model for the nonlinear ultrasound propagation in thermoviscous fluids, we employ Westervelt's wave equation solved for the acoustic velocity potential. The angle of incidence of the wave is computed based on the information provided by the wave-field gradient which is readily available in the finite element framework. The absorbing boundary conditions are then updated with the angle values in real time. Numerical experiments illustrate the accuracy and efficiency of the proposed method. |
| Databáze: | OpenAIRE |
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