模拟短脉冲激光在介质中传输的扩散综合有限元法
Finite Element Method with Diffusion Synthetic Acceleration for Short Pulsed Laser in Turbid Media
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摘要: 建立有限元模型,通过求解瞬态辐射传输方程模拟短脉冲激光在半透明介质中的传输.针对散射占优性半透明介质内辐射传输求解效率较差的问题,采用扩散综合加速迭代算法,提高计算效率,缩短计算时间.结果表明:采用精确解析式描述脉冲激光散射源项的求解策略可以获得准确的计算结果,精确地模拟快速变化的波前,不会产生数值扩散和数值振荡.此外,扩散综合迭代算法的计算时间仅为源项迭代的50%~60%.Abstract: A finite element model is developed to simulate short pulsed laser in turbid media by solving a transient radiative transfer equation. The model employs diffuse synthetic acceleration to reduce computation time and improve solution efficiency, especially for scattering dominated media, It indicates that the model should adopt analytical formulation to deal with scattering term produced by pulsed laser since it accurately simulates sharp changed wave-front without any numerical diffusion and oscillation. Computation time of diffusion synthetic acceleration is about 50% to 60% that of source iteration.