CAJ | 학술논문

应用隐式时间推进法对不同马赫数的无粘和粘性流动进行数值分析，给出了基于预处理方法的高阶精度隐式求解方法。方程离散采用改进的高阶精度对流迎风分裂格式。该方法通过求解曲线坐标系可压缩Euler和Navier-Stokes方程，对低速到超音速范围内的无粘和粘性流动的典型问题进行了数值分析。计算结果与文献的数值结果或实验数据对比分析表明，该方法对低速到超音速范围内的无粘和粘性流动问题进行数值分析是可行而有效的。
응용은식시간추진법대불동마혁수적무점화점성류동진행수치분석，급출료기우예처리방법적고계정도은식구해방법。방정리산채용개진적고계정도대류영풍분렬격식。해방법통과구해곡선좌표계가압축Euler화Navier-Stokes방정，대저속도초음속범위내적무점화점성류동적전형문제진행료수치분석。계산결과여문헌적수치결과혹실험수거대비분석표명，해방법대저속도초음속범위내적무점화점성류동문제진행수치분석시가행이유효적。
A high-order-accurate computational method based on a time-derivative preconditioning algorithm is developed in order to calculate inviscid and viscous flows at various Mach numbers by using the implicit time marching method. The equations are discretized using a high-order-accurate AUSMPW scheme. The present algorithm is extended to the multidimensional curvilinear coordinates systems, and it is applied to numerical solution of the compressible Euler and Navier-Stokes equations. Computational capabilities are demonstrated through computation of a wide variety of problems. Comparison of calculation with available numerical and experimental data in literature shows that the algorithm is accurate, self-adaptive and stable for a wide range of flow conditions from inviscid to viscous flows and from low speed to supersonic flows.