Multidimensional time dependent method of characteristics
Multidimensional time dependent method of characteristics
复制标题
多维时间相关特征方法
DOI：
10.1016/0045-7930(88)90041-2
复制
发表时间：
1988
影响因子：
2.8
通讯作者：
I. Parpia
中科院分区：
文献类型：
--
作者：
I. Parpia
发展了一种基于多维气体动力学特征线理论的数值方法。特征方程被改写成一种形式，其中气体动力学变量的线性组合沿沿着初始特征射线被积分，并且随后通过线性代数方程组的逆来获得解。这个公式便于施加边界条件，这通常是代数的，因此可以直接纳入线性系统。详细介绍了以特征线理论为指导的边界处理方法的选择。该方法已成功地应用于2-D和3-D喷嘴流的样本问题。虽然熟悉，但这些示例涉及各种边界条件。
A numerical technique based on the theory of characteristics in multidimensional gasdynamics is developed. The characteristic equations are recast into a form in which linear combinations of the gasdynamic variables are integrated along initially characteristic rays, and the solution is subsequently obtained by the inversion of a system of linear algebraic equations. This formulation facilitates the imposition of boundary conditions, which are usually algebraic, and can therefore be directly incorporated into the linear system. The choice of boundary treatments, which is guided by the theory of characteristics, is described in detail. The method was successfully applied to sample problems in 2- and 3-D nozzle flow. While familiar, these examples involve a variety of boundary conditions.