Numerical aspects of sonic-boom minimization

Allahverdi N, Pozo A, Zuazua E (2016)

Publication Type: Conference contribution

Publication year: 2016

Journal

Contemporary Mathematics American Mathematical Societ

Publisher: American Mathematical Society

Book Volume: 658

Pages Range: 267-279

Conference Proceedings Title: Contemporary Mathematics

DOI: 10.1090/conm/658/13133

Abstract

The propagation of the sonic-boom produced by supersonic air-crafts can be modeled by means of a nonlocal version of the viscous Burgers equation. In this paper, motivated by the sonic-boom minimization problem, we analyze the numerical aspects of the optimization process, with a focus on the large-time dynamics of the underlying model. We develop an adjoint methodology at the numerical level allowing to recover accurate approximations of the minimizers. We observe however that some of the minima are hard to achieve due to the intrinsic nonlinear and viscous effects.

Authors with CRIS profile

Enrique Zuazua Iriondo

Involved external institutions

City University of New York CUNY US United States (USA) (US) Innovalia Group ES Spain (ES) Universidad Autónoma de Madrid (UAM) ES Spain (ES)

How to cite

APA:

Allahverdi, N., Pozo, A., & Zuazua, E. (2016). Numerical aspects of sonic-boom minimization. In Contemporary Mathematics (pp. 267-279). American Mathematical Society.

MLA:

Allahverdi, Navid, Alejandro Pozo, and Enrique Zuazua. "Numerical aspects of sonic-boom minimization." Proceedings of the Contemporary Mathematics American Mathematical Society, 2016. 267-279.

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