Engineering Mathematics and Physics Department, Faculty of Engineering, Cairo University, Giza 12613, Egypt.
University of Calgary, Calgary, Alberta, Canada T2N 1N4.
J Adv Res. 2013 Jul;4(4):321-9. doi: 10.1016/j.jare.2012.05.006. Epub 2012 Jul 3.
An easy-to-apply algorithm is proposed to determine the correct set(s) of boundary conditions for hyperbolic systems of partial differential equations. The proposed approach is based on the idea of the incoming/outgoing characteristics and is validated by considering two problems. The first one is the well-known Euler system of equations in gas dynamics and it proved to yield set(s) of boundary conditions consistent with the literature. The second test case corresponds to the system of equations governing the flow of viscoelastic liquids.
提出了一种易于应用的算法，用于确定双曲型偏微分方程组的正确边界条件集。该方法基于入射/出射特征的思想，并通过考虑两个问题进行了验证。第一个问题是气体动力学中著名的 Euler 方程组，结果表明，所得到的边界条件集与文献一致。第二个测试案例对应于粘弹性液体流动的方程组。
