求解辐射迁移问题的差商-数值积分法

A DIFFERENCE QUOTIENT-NUMERICAL INTEGRATION METHOD FOR SOLVING RADIATIVE TRANSFER PROBLEMS

  • 摘要: 采用差商-数值积分法求解辐射迁移问题。这种方法将问题离散化成一个系数矩阵是带状矩阵的线性代数方程组,公式推导初等,上机计算简单,易于为实验工作者掌握。本文还计算了一个数值例子,结果表明,这种方法是收敛的。

     

    Abstract: A difference quotient-numerical integration method is adopted to solve radiative transfer problems in an anisotropic scattering slab medium. By using the method, the radiative transfer problem is separated into a system of linear algebraic equations and the coefficient matrix of the system is a band matrix, so the method is very simple to evaluate on computer and to deduce formulae and easy to master for experimentalists. An example is evaluated and it is shown that the method is precise.

     

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