Third Order ENO Scheme on Non-Uniform Grid for Supersonic Flows II

Abstract:

In the present paper we extend our earlier work on the finite-difference shock-capturing essentially non-oscillatory (ENO) scheme for a non-uniform grid. The design of the ENO scheme is based on the methodology for uniform grids. We provide the analysis of the different variations of the limiter functions for the developed algorithm to define the optimal function producing the smallest spread of the solution. The effect of the limiter choice on the mixing layer dynamics was studied for the non-uniform grid. The numerical experiments revealed that the nonoptimal choice of limiter can result in the overgrowth of the mixing layer, that is important for the numerical modeling of the combustion.

• Periodical: Applied Mechanics and Materials (Volume 798)
• Pages: 518-522
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.798.518
• Online since: October 2015
• Authors: Yekaterina Moisseyeva*, Altynshash Naimanova, Asel Beketaeva
• Keywords: ENO, Multispecies Gas, Non-Uniform Grid, Slope Limiters, Supersonic Flow, Transverse Injection

References

[1] Ye. Moisseyeva, A. Naimanova, Ye. Belyayev and N. Shakhan: submitted to Applied Mechanics and Materials Journal (2015).

[2] P. Bruel, A. Naimanova: Thermophysics and Aeromechanics Vol. 17, Issue 4 (2010), p.531–542.

[3] M. Berger, M.J. Aftosmis, S.M. Murman: 43rd AIAA Aerospace Sciences Meeting, Reno, NV, (2005).

[4] X. Zeng: submitted to SIAM J. Sci. Comput. (2014).

[5] Ye. Moisseyeva, A. Naimanova: Proceedings of APM-2014, St. -Petersburg, Russia (2014), pp.358-365.

[6] R. C. Rogers: NASA TN D-6114 (1971).