Abstract
A unified mathematical model for fluid interface such as gas-liquid phase interface and chemical reaction surface is proposed as a viscosity solution of level-set equation, which is derived from conservative form of Allen-Cahn equation by phase field approach and is also related to an equation of arbitrary variable accompanied with order-parameter of the proposed level-set variable in the compressible fluid flow. This unified model is applied to flame approximations of pre-mixture combustion to investigate a relation between the conventional models, and is evaluated their model parameters by the machine learning using a solution of detailed chemical reaction calculation.
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