This paper addresses the numerical solution of the Westervelt equation, which arises as one of the model equations in nonlinear acoustics. The problem is rewritten in a canonical form that allows the systematic discretization by Galerkin approximation in space and time. Exact energy preserving methods of formally arbitrary order are obtained and their efficient realization as well as the relation to other frequently used methods is discussed.
CITATION STYLE
Egger, H., & Shashkov, V. (2021). On Energy Preserving High-Order Discretizations for Nonlinear Acoustics. In Lecture Notes in Computational Science and Engineering (Vol. 139, pp. 353–361). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-55874-1_34
Mendeley helps you to discover research relevant for your work.