Spectral analysis of finite difference schemes for convection diffusion equation. (3rd June 2017)

• Record Type: Journal Article
• Authors: Suman, V.K.; Sengupta, Tapan K.; Jyothi Durga Prasad, C.; Surya Mohan, K.; Sanwalia, Deepanshu
• Is Part Of: Computers & fluids. Volume 150(2017)
• Page Start: 95
• Page End: 114
• Publication Date: 2017-06-03
• Subjects: Convection-diffusion equation -- Spectral analysis -- Dispersion relation preservation (DRP) scheme -- Compact difference schemes -- Combined compact difference schemes; Fluid dynamics -- Data processing -- Periodicals; 532.050285
• DOI: 10.1016/j.compfluid.2017.04.009
• Languages: English
• ISSNs: 0045-7930

Abstract

Highlights: Global spectral analysis is performed for 1D linear convection-diffusion equation. Exact properties are obtained which serve as indicators for numerical accuracy. Convection speed and diffusion coefficient for schemes are wavenumber dependent. Results show neutral stability, q-waves and diffusive errors predicted by analysis. Optimal simulation parameters and schemes are identified for best accuracy. Abstract: The paper presents numerical analysis of finite difference schemes for solving the linear convection-diffusion equation using a full domain spectral analysis method illustrated in Sengupta et al. (2003) [7]. Different numerical schemes ranging from simple central and upwind difference schemes to high accuracy schemes like compact and combined compact difference schemes are analyzed for their accuracy. Optimal values of simulation parameters are proposed for the analyzed schemes with a view to obtain accurate solutions.