论文标题
非线性辐射转移方程的渐近保护IMEX方法
An asymptotic-preserving IMEX method for nonlinear radiative transfer equation
论文作者
论文摘要
我们提出了PN方法框架中辐射传递方程的渐近保留方法。提出了一种隐式和明确的方法来根据分布函数的扩展系数的顺序分析来解决P n系统。通过Maxwellian迭代的过程发现了Knudsen数字中每个系数的顺序，并且高阶系数得到明确处理，而在P n系统的每个方程式中都会隐式处理低阶的系数。对于此数值方案证明了能量不平等。几个数值示例在光学厚和薄区域都验证了这种新的AP方案。
We present an asymptotic preserving method for the radiative transfer equations in the framework of PN method. An implicit and explicit method is proposed to solve the P N system based on the order analysis of the expansion coefficients of the distribution function. The order of each coefficient expanded in the Knudsen number is found through the process of Maxwellian iteration, and the coefficients of high order are treated explicitly while that of low order are treated implicitly in each equation of P N system. Energy inequality is proved for this numerical scheme. Several numerical examples validate this new AP scheme in both optical thick and thin regions.
