Performance evaluation of hybrid differential evolution approach for estimation of the strength of a heat source in a radiatively participating medium

In this work, a hybrid method is developed for estimation of the strength of a transient heat source in a 2D gray participating medium where radiation and conduction occur simultaneously. The medium is considered to be absorbing, emitting and non-scattering. All the boundaries of the 2D enclosure are considered to be black with known temperature. A numerical model is developed for solving this inverse radiation-conduction problem through the minimization of a performance function, which is expressed by the sum of square residuals between calculated and observed temperature. A hybrid differential evolution approach with a local optimization algorithm is proposed for minimization of the performance function. The conjugate gradient method with an adjoint equation is used as a local optimization algorithm to speed up the convergence speed. The finite volume method is used to solve the radiative transfer equation and the energy equation. In comparison to differential evolution approach, the proposed hybrid differential evolution approach is more accurate and computationally economical.