Interactions of traveling waves in low order approximations for the two-dimensional Euler equations

Authors

Julio C. Paez, The University of Texas Rio Grande Valley
Zhijun Qiao, The University of Texas Rio Grande ValleyFollow
Vesselin Vatchev, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

11-2023

Abstract

In this paper, we study traveling waves with elastic and inelastic interactions in a low order of approximation. The waves are derived in quadratic or linear order of approximation from the two-dimensional Euler equations. A new type of inelastic interaction that is closely related to numerical study observations of the Euler equations is obtained in a linear order.

Comments

© 2023 AIP Publishing LLC. Original published version available at https://doi.org/10.1063/5.0177427

Recommended Citation

Paez, J., Zhijun Qiao, and V. Vatchev. "Interactions of traveling waves in low order approximations for the two-dimensional Euler equations." In AIP Conference Proceedings, vol. 2953, no. 1. AIP Publishing, 2023. https://doi.org/10.1063/5.0177427

Publication Title

AIP Conference Proceedings

DOI

10.1063/5.0177427