论文标题
关于协方差BSSN公式的稳定性
On the stability of covariant BSSN formulation
论文作者
论文摘要
在这项研究中,我们研究了布朗提出的协变量BSSN(CBSSN)配方的数值稳定性。我们计算约束放大因子(CAF),这是CBSSN公式上约束的演化方程的系数矩阵的特征值,以及在某些调整后的配方上,具有添加到进化方程式的约束。从CAF的角度来看,调整后的配方比CBSSN公式具有更高的数值稳定性。
In this study, we investigate the numerical stability of the covariant BSSN (cBSSN) formulation proposed by Brown. We calculate the constraint amplification factor (CAF), which is an eigenvalue of the coefficient matrix of the evolution equations of the constraints on the cBSSN formulation and on some adjusted formulations with constraints added to the evolution equations. The adjusted formulations have a higher numerical stability than the cBSSN formulation from the viewpoint of the CAF.