The explicit method is widely used for its simpleness and little memory consumed with local time step and variable coefficients implicit residual smooth to accelerate the convergence procedure . according to yoon and jameson ' s ideas , an efficient implicit lu - sgs algorithm is carefully constructed by combing the advantages of lu factorization and symmetric - gauss - seidel technique in such a way to make use the l and u operators scalar diagonal matrices , thus the numeric algorithm requires only scalar inversion . the computational efficiency is greatly improved with this scheme 顯式方法具有簡單,消耗內存小等優點,并采用當地時間步長、變系數隱式殘值光順等加速收斂措施,在定常流動的模擬中得到了廣泛的應用;根據yoon和jameson提出的簡化正、負矩陣分裂,構造的l 、 u算子只需進行標量對角陣求逆,極大提高了流場數值求解過程的計算效率;采用newton類型的偽時間子迭代技術使時間推進精度提高至二階。