Title :
Shock capturing using interpolatory wavelets
Author :
Cunha, Cristina ; Gomes, Senia M.
Author_Institution :
IMECC-UNICAMP, Campinas, Brazil
Abstract :
In this paper we discuss an adaptive method for the computation of discontinuous solutions of hyperbolic conservation laws. In each time level we use techniques coming from interpolatory multiresolution analyses for detecting discontinuities of the solution. The adaptive scheme uses first order upwind flux computation in the immediate neighbourhood of these irregularities. Since the differential equation holds in the smoothness domain, we follow the characteristics in the time marching procedure at grid points in that domain
Keywords :
FIR filters; adaptive estimation; conservation laws; differential equations; flow through porous media; hyperbolic equations; interpolation; shock waves; two-phase flow; wavelet transforms; adaptive method; discontinuous solutions; first order upwind flux computation; grid points; hyperbolic conservation laws; interpolatory wavelets; multiresolution analyses; porous medium; shock capturing; smoothness domain; time level; time marching procedure; two phase fluid flow; Adaptive algorithm; Algorithm design and analysis; Electric shock; Filter bank; Finite impulse response filter; Interpolation; Multiresolution analysis; Performance analysis; Reconstruction algorithms; Wavelet analysis;
Conference_Titel :
Circuits and Systems, 1995., Proceedings., Proceedings of the 38th Midwest Symposium on
Conference_Location :
Rio de Janeiro
Print_ISBN :
0-7803-2972-4
DOI :
10.1109/MWSCAS.1995.510292
