推进－迭代算法计算效率的研究

本文对求解三维定常超音速动性流场的一次空间推进，在每一个推进站沿伪时间层局部迭代的推进－迭代算法作了进一步的研究．在每一推进站（侧向平面）沿伪时间层局部迭代时，给出了四种不同的隐式迭代方法，即沿侧面两个方向（法向和周向）全用隐式；法向隐式而周向采用Ｇａｕｓｓ－Ｓｉｌｄｌｅ来回扫描迭代；法向隐式而周向显式及以系数矩阵谱半径代替系数矩阵的简化标量隐式算法．用这四种算法模拟了三维球锥黏性绕流，给出了四种不同算法的计算效率和收敛特性比较．

A STUDY ON THE COMPUTATION EFFICIENCY OF MARCHING/ITERATING ALGORITHM

In this paper, we made a further investigation on the method of single spacemarching and iterating, carried out locally in each crossflow plane,that was used to simulatethe 3D steady supersonic viscous flow. In each marching plane,when iterating locally alongthe pseudotime levels, we used four different implicit iterating strategies. These includethe fully implicit method,the Gauss-Sidle iteration in circumferencial direction and implicititeration in normal direction, implict in normal direction and explicit in circumferencialdirection, and the simplified scalar form implicit method based on the spectral radial of thesplit Jacobian matrices. Numerical results obtained from these four strategies are pressentedand compared on the computational efficiency and convergence properties.