Art

J-GLOBAL ID：201902218106151105   Reference number：19A0098808

A simple and fast numerical method for solving flame/smoldering evolution equations

火炎/くすぶり発展方程式を解くための単純で高速な数値法

Author (3)： Goto Maika (Faculty of Engineering, Yamagata University) ,  Kuwana Kazunori (Faculty of Engineering, Yamagata University) ,  Yazaki Shigetoshi (School of Science and Technology, Meiji University)
Material： JSIAM Letters (Web)  (JSIAM Lett (Web))
Volume： 10  Page： 49-52(J-STAGE)  Publication year： 2018 
JST Material Number： U0115A  ISSN： 1883-0617  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *numerical analysis ,  differential equation ,  *evolution equation ,  experiment ,  evaluation test ,  equation ,  individual ,  speedup ,  numerical experiment
Semi thesaurus term： モデル方程式 ,  Kuramoto-Sivashinsky equation

Author keywords (4)： Kuramoto-Sivashinsky equation ,  combustion of a paper sheet ,  moving boundary problem ,  asymptotic uniform distribution method

JST classification (1)： Numerical computation  (JE02000J)

Reference (7)：

• 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) 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) G. I. Sivashinsky, Nonlinear analysis of hydrodynamic instability in laminar flames--I, Acta Astron., 4 (1977), 1177-1206.
• 4) M. L. Frankel and G. I. Sivashinsky, On the nonlinear thermal diffusive theory of curved flames, J. Physique, 48 (1987), 25-28.
• 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.

Terms in the title (5)： 火炎 ,  くすぶり ,  発展方程式 ,  単純 ,  数値