Investigation of difference schemes on method of lines

Date

2006-01-01

Author

Tarhan, T.
Selçuk, Nevin

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A second-order high-resolution Total Variation Diminishing (TVD) scheme based on Lagrange interpolation polynomial was proposed for the spatial discretisation of convective terms in strongly convected problems with non-uniform grid topologies. Performances of classical and TVD-based Finite Difference (FD) schemes, higher-order Lagrange interpolation polynomial-based schemes and the proposed scheme were investigated on the Method of Lines (MOL) solution of two test problems, a simple one-dimensional convective flow and a two-dimensional unsteady laminar diffusion flame. The proposed scheme produced accurate results without spurious oscillations and numerical diffusion encountered in the classical schemes, and hence, was found to be a successful scheme applicable to strongly convective flow problems with non-uniform grid resolution. The proposed algorithm can be readily incorporated into existing codes based not only on MOL but also on other numerical solution techniques.

Subject Keywords

Spatial Discretisation, Method Of Lines (MOL), Lagrange Interpolation Polynomial, Total Variation Diminishing (TVD), Unsteady Convection-Dominated Problems

URI

https://hdl.handle.net/11511/31419

Journal

PROGRESS IN COMPUTATIONAL FLUID DYNAMICS

DOI

https://doi.org/10.1504/pcfd.2006.011318

Collections

Graduate School of Natural and Applied Sciences, Article

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Citation Formats

T. Tarhan and N. Selçuk, “Investigation of difference schemes on method of lines,” PROGRESS IN COMPUTATIONAL FLUID DYNAMICS, pp. 447–458, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31419.