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

机译:用于估计辐射参与介质中热源强度的混合差分演化方法的性能评估

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摘要

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.
机译:在这项工作中,开发了一种混合方法,用于估算同时发生辐射和传导的2D灰色参与介质中瞬态热源的强度。该介质被认为是吸收,发射和非散射的。在已知温度下,二维外壳的所有边界都被视为黑色。通过使性能函数最小化,开发了用于解决逆辐射传导问题的数值模型,该函数由计算温度和观测温度之间的平方残差之和表示。提出了一种具有局部优化算法的混合差分进化方法,以最小化性能函数。将具有伴随方程的共轭梯度法用作局部优化算法,以加快收敛速度​​。有限体积法用于求解辐射传递方程和能量方程。与差分进化方法相比,所提出的混合差分进化方法更加准确且计算经济。

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