Open AccessNUMERICAL ANALYSIS OF 1D LINEAR CONVECTION EQUATION USING UPWIND SCHEME IN MATLAB
Author(s) -
Joy Mandal
Publication year - 2019
Publication title -
international journal of engineering applied science and technology
Language(s) - English
Resource type - Journals
ISSN - 2455-2143
DOI - 10.33564/ijeast.2019.v04i07.051
Subject(s) - upwind scheme , matlab , scheme (mathematics) , convection , mechanics , mathematics , computer science , physics , mathematical analysis , discretization , operating system
The overall purpose of this study is to critically analyze one of the important areas of Computational Fluid Dynamics i.e. the Linear Convection Problem. There had been, quite a significant research in this field. The main issue that is faced while numerically solving this problem whether in 1D,2D or 3D is the oscillation or diffusion which eventually makes the solution unstable. Hence, my study will deal with this in details and I had also incorporated the effect of mesh size and time step size on the solution and how they affect the stability individually. I had opted for Upwind Scheme to numerically solve this problem and to comment on the factor (CFL No.) which affects the stability. I had also derived the optimum condition for the CFL No., and the simulation results of the proposed scheme are also shown in this paper. KeywordsLinear Convection, oscillation, mesh size, time step size, Upwind Scheme, CFL No.