A Third-Order Unconditionally Positivity-Preserving Scheme for Production–Destruction Equations with Applications to Non-equilibrium Flows

In this paper, we extend our previous work in Huang and Shu (J Sci Comput, 2018 . https://doi.org/10.1007/s10915-018-0852-1 ) and develop a third-order unconditionally positivity-preserving modified Patankar Runge–Kutta method for production–destruction equations. The necessary and sufficient condit...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 79; no. 2; pp. 1015 - 1056
Main Authors:	Huang, Juntao, Zhao, Weifeng, Shu, Chi-Wang
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.05.2019 Springer Nature B.V
Subjects:	Algorithms Chemical reactions Computational Mathematics and Numerical Analysis Equilibrium Essentially non-oscillatory schemes Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Nonequilibrium flow Numerical analysis Runge-Kutta method Theoretical Time integration Production–destruction equations Finite difference Chemical reactions Positivity-preserving Compressible Euler equations Third-order accuracy
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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