Adrian Sescu, Abdollah A. Afjeh, Carmen Sescu
Abstract:
Nonlinear Tricomi equation is a hybrid (hyperbolic-elliptic)
second order partial differential equation, modelling the sonic
boom focusing. In this paper, the Tricomi equation is transformed
into a hyperbolic system of first order equations, in conservation
law form. On the upper boundary, a new mixed boundary condition
for the acoustic pressure is used to avoid the inclusion of the
Dirac function in the numerical solution. Weighted Essentially
Non-Oscillatory (WENO) schemes are used for the spatial
discretization, and the time marching is carried out using the
second order accurate Runge-Kutta total-variation diminishing
(TVD) scheme.
Published September 25, 2010.
Math Subject Classifications: 76Q05, 35L60, 35L65, 65M22.
Key Words: Nonlinear aeroacoustics; hyperbolic conservation law;
discretized equations.
Show me the PDF file (1321K), TEX file, and other files for this article.
| Adrian Sescu MIME Department, University of Toledo 2801 West Bancroft Street, Toledo, OH 43606-3390OH, USA email: adrian.sescu@utoledo.edu Tel: +1 419 530 8160, fax: +1 419 530 8206 |
| Abdollah A. Afjeh MIME Department, University of Toledo 2801 West Bancroft Street, Toledo, OH 43606-3390OH, USA email: aafjeh@utoledo.edu |
| Carmen Sescu MIME Department, University of Toledo 2801 West Bancroft Street, Toledo, OH 43606-3390OH, USA email: carmen.sescu@utoledo.edu |
Return to the table of contents
for this conference.
Return to the EJDE web page