摘要
§1.引言 自[1]提出矢通量分裂格式以来,在求解气动方程方面得到广泛应用。矢通量分裂格式是一种求解守恒型双曲方程组的方法,它将方程中代表质量、动量和能量的矢通量按照矢通量Jacobian矩阵正负特征值分裂为两个亚矢通量项,目的在于改进显式格式和隐式格式的计算效率和提高求解时的稳定性。在求解方法上,对于二维问题,需要求解以4×4块矩阵为矩阵元的上三角矩阵和下三角矩阵。
A special matrix splitting Scheme is proposed for Solving unsteady compressi-ble Euler equations. Numerical stability of the scheme is analyzed through compa-ring with the implicit central difference scheme. Numerical experiments show that thescheme is of satisfactory stability and reduced computing compared with the generalflux vector splitting scheme. Computational examples about a NACA 0012 airfoilat M_∞= 0.63 and 0.75 are given. The results agree well with the results of otherauthor's.
出处
《计算数学》
CSCD
北大核心
1993年第2期225-234,共10页
Mathematica Numerica Sinica
