Journal of Chemical and Pharmaceutical Research (ISSN : 0975-7384)

header
Reach Us reach to JOCPR whatsapp-JOCPR +44 1625708989
All submissions of the EM system will be redirected to Online Manuscript Submission System. Authors are requested to submit articles directly to Online Manuscript Submission System of respective journal.

Original Articles: 2014 Vol: 6 Issue: 5

Implicit bi-diagonal scheme for computation of discontinuous flow problems

Abstract

This paper is concerned with a mathematical model for numerical simulation of 1D discontinuous flow problems. The governing water equations are solved by an implicit bi-diagonal numerical scheme, based on the MacCormack’s predictor-corrector technique, and the oscillations near the vicinity of discontinuity/shocks are smoothed by a proposed technique. The mathematical model was used to numerically compute the water surface from supercritical flow to subcritical one or from subcritical flow to supercritical one in a rectangular open channel, and was also used to predict 1D wave due to an instantaneous opening of sluice gate problem in a rectangular open channel, and their results are in agreement with the theoretical results, which shows that the proposed method is accurate, reliable and effective in simulation of discontinuous flow problems