Comparative Study of Flux-limiters Based on MUST Differencing Scheme

Abstract

Abstract A comparative study of a number of flux-limiters based on MUST methodology is presented in this paper to find the most suitable flux-limiter to be used in unsteady and steady convective flow calculations. The accuracy and convergence behaviour of these flux-limiters are assessed in five pure convection problems: (1) rotation of a cone-shaped scalar field, (2) advection of a square-shaped scalar field, (3) mixing of a hot with a cold front, (4) deformation of cone-shaped scalar field and (5) IAHR. The superbee flux-limiter results in the most accurate solutions in unsteady flow problems, and the Koren flux-limiter is the more appropriate in steady flow problems because of its good convergence behaviour. Keywords: Differencing schemeFlux-limiterConvective flowSteady flowUnsteady flowUnstructured mesh Acknowledgements This research is partially supported by the Thailand Research Fund (TRF) for the Senior Scholar Professor Pramote Dechaumphai. Special thanks are due to Professor Pramote Dechaumphai and Assistant Professor Ekachai Juntasaro. Notes †Email: a.marquis@ic.ac.uk *Corresponding author. Address: Department of Mechanical Engineering, Faculty of Engineering, Computational Mechanics Laboratory (CML), Kasetsart University, Bangkhen, 10900, Bangkok, Thailand, Email: fengvrj@ku.ac.th *Corresponding author. Address: Department of Mechanical Engineering, Faculty of Engineering, Computational Mechanics Laboratory (CML), Kasetsart University, Bangkhen, 10900, Bangkok, Thailand, Email: fengvrj@ku.ac.th Additional informationNotes on contributorsA.J. Marquis Footnote† †Email: a.marquis@ic.ac.uk *Corresponding author. Address: Department of Mechanical Engineering, Faculty of Engineering, Computational Mechanics Laboratory (CML), Kasetsart University, Bangkhen, 10900, Bangkok, Thailand, Email: fengvrj@ku.ac.th