%0 Journal Article
%T Numerical solution to nonlinear Tricomi equation using WENO schemes
%A Adrian Sescu
%A Abdollah A. Afjeh
%A Carmen Sescu
%J Electronic Journal of Differential Equations
%D 2010
%I Texas State University
%X 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.
%K Nonlinear aeroacoustics
%K hyperbolic conservation law
%K discretized equations
%U http://ejde.math.txstate.edu/conf-proc/19/s2/abstr.html