Geodesic
Method of local potential for the prediction of stationary flame spread rate
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2010), pp. 87-95

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The problem of the prediction of steady flame spread rate has been studied. Finite element method has been applied to the boundary value problem involving two approaches for deriving the system of algebraic equations: weighted residuals method for differential conservation equation and variational formulation in the form local thermodynamic potential. The detailed numerical algorithm and results of solution's stability and convergence study have been presented.
Keywords: flame spread, stationary state, variational principle, local potential. 
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     author = {A. I. Karpov and A. V. Kudrin},
     title = {Method of local potential for the prediction of stationary flame spread rate},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {87--95},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2010_4_a9/}
}
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A. I. Karpov; A. V. Kudrin. Method of local potential for the prediction of stationary flame spread rate. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2010), pp. 87-95. http://geodesic.mathdoc.fr/item/VUU_2010_4_a9/