A SOLVER USING NEWTON‘S METHOD FOR
UNSTEADY VISCOUS FLOWS
宁方飞; 徐力平
【期刊名称】《《力学学报：英文版》》 【年(卷),期】2003(019)003
【摘要】A solver is developed for time-accurate computations of viscous flows based on the conception of Newton's method. A set of pseudo-time derivatives are added into governing equations and the discretized system is solved using GMRES algorithm. Due to some special properties of GMRES algorithm, the solution procedure for unsteady flows could be regarded as a kind of Newton iteration. The physical-time derivatives of governing equations are discretized using two different approaches, I.e., 3-point Euler backward, and Crank-Nicolson formulas, both with 2nd-order accuracy in time but with different truncation errors. The turbulent eddy viscosity is calculated by using a version of Spalart~Allmaras one-equation model modified by authors for turbulent flows. Two cases of unsteady viscous flow are investigated to validate and assess the solver, I.e., low Reynolds number flow around a row of cylinders and transonic bi-circular-arc airfoil flow featuring the vortex shedding and shock buffeting problems, respectively. Meanwhile, comparisons between the two schemes of timederivative discretizations are carefully made. It is illustrated that the
developed unsteady flow solver shows a considerable efficiency and the Crank-Nicolson scheme gives better results compared with Euler method.
【总页数】8页(P.220-227)
【关键词】数值模拟; 不定常流; 粘性流体力学; 计算流体力学; GMRES算法; 控制方程; 牛顿方法; 紊流; 涡流 【作者】宁方飞; 徐力平 【
作
者
单
位
】
Dept.ofJetPropulsion Beijing100083
China;
Beijin9UniversityofAeronauticsandAstronautics WhittleLaboratory UniversityofCambridge U.K. 【正文语种】中文 【中图分类】O357 【文献来源】
https://www.zhangqiaokeyan.com/academic-journal-cn_acta-mechanica-sinica_thesis/0201273471807.html 【相关文献】
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A SOLVER USING NEWTON‘S METHOD FOR UNSTEADY VISCOUS FLOWS
