Author:
Phillips J. H.,Ackerberg R. C.
Abstract
A numerical method for integrating the unsteady twodimensional boundarylayer equations using a second-order-accurate implicit method, which allows for arbitrary mesh spacing in the space and time variables, is developed. A unique feature of the method is the use of an asymptotic solution valid at the downstream end of the integration mesh which permits backflow to be taken into account. Newton's iterative technique is used to solve the nonlinear finite-difference equations a t each computation step, using a rapid algorithm for solving the resulting linearized equations. The method is applied to a flow which is periodic in time and contains regions of backflow. The numerical computations are compared with known numerical and asymptotic solutions and the agreement is excellent.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference18 articles.
1. Phillips, J. H. 1972 Ph.D. Thesis,Polytechnic Institute of Brooklyn.
2. Hall, M. G. 1969b A numerical method for calculating unsteady two-dimensional laminar boundary layers.Ing. Arch. 38,97–106.
3. Stewartson, K. 1960 The theory of unst, eady laminar boundary layers. InAdvances in Applied Mechanics, vol. 4, pp.1–37.Academic.
4. The unsteady laminar boundary layer on a semi-infinite flat plate due to small fluctuations in the magnitude of the free-stream velocity
5. Sears, W. R. & Telionis, D. P. 1971 Unsteady boundary-layer separation. Ptoc. Iutam Symp. on Umteady Boundary Layers, pp.404–447.Lava1 University,Quebec, Canada.
Cited by
28 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献