Higher order finite difference schemes for the magnetic induction equations
Higher order finite difference schemes for the magnetic induction equations
复制标题
磁感应方程的高阶有限差分格式
DOI：
10.1007/s10543-009-0219-y
复制
发表时间：
2009
影响因子：
1.5
通讯作者：
M. Svärd
中科院分区：
文献类型：
--
作者：
U. Koley;Siddhartha Mishra;N. Risebro;M. Svärd
我们描述了与磁感应方程有关的初边值问题的高精度和稳定的有限差分格式。这些方程模拟了由给定速度场引起的磁场的演化。有限差分格式基于用于空间导数的按部分求和(SBP)算子和用于施加边界条件的同时逼近项(SAT)技术。我们给出了各种数值实验，证明了格式的稳定性和高阶精度。
We describe high order accurate and stable finite difference schemes for the initial-boundary value problem associated with the magnetic induction equations. These equations model the evolution of a magnetic field due to a given velocity field. The finite difference schemes are based on Summation by Parts (SBP) operators for spatial derivatives and a Simultaneous Approximation Term (SAT) technique for imposing boundary conditions. We present various numerical experiments that demonstrate both the stability as well as high order of accuracy of the schemes.