A simple and fast numerical method for solving flame/smoldering evolution equations
Author:
Affiliation:
1. Faculty of Engineering, Yamagata University
2. School of Science and Technology, Meiji University
Publisher
The Japan Society for Industrial and Applied Mathematics
Link
https://www.jstage.jst.go.jp/article/jsiaml/10/0/10_49/_pdf
Reference7 articles.
1. 1) D. \v{S}ev\v{c}ovi\v{c} and S. Yazaki, On a gradient flow of plane curves minimizing the anisoperimetric ratio, IAENG Int. J. Appl. Math., 43 (2013), 160-171.
2. 2) Y. Kuramoto and T. Tsuzuki, Persistent propagation of concentration waves in dissipative media far from thermal equilibrium, Progr. Theoret. Phys., 55 (1976), 356-369.
3. 3) G. I. Sivashinsky, Nonlinear analysis of hydrodynamic instability in laminar flames--I, Acta Astron., 4 (1977), 1177-1206.
4. 4) M. L. Frankel and G. I. Sivashinsky, On the nonlinear thermal diffusive theory of curved flames, J. Physique, 48 (1987), 25-28.
5. 5) K. Mikula and D. \v{S}ev\v{c}ovi\v{c} et al., A Simple, Fast and Stabilized Flowing Finite Volume Method for Solving General Curve Evolution Equations, Commun. Comput. Phys., 7 (2010), 195-211.
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