A New Shooting Method for Solving Boundary Layer Equations in Fluid Mechanics

Keywords

Boundary layer, Fluid mechanics, Shooting method, Blasius boundary layer, Mechanics

References

• A Lie-Group Shooting Method for Simultaneously Estimating the Time-Dependent Damping and Stiffness CoefficientsChein‐Shan Liu — 2008
• Past Cone Dynamics and Backward Group Preserving Schemes for Backward Heat Conduction ProblemsChein‐Shan Liu, Chih‐Wen Chang, J.-R. Chang — 2006
• A Lie-Group Shooting Method for Computing Eigenvalues and Eigenfunctions of Sturm-Liouville ProblemsChein‐Shan Liu — 2008
• The Lie-Group Shooting Method for Thermal Stress Evaluation Through an Internal Temperature MeasurementChein‐Shan Liu — 2008
• Efficient Shooting Methods for the Second-Order Ordinary Differential EquationsChein‐Shan Liu — 2006
• A Lie-Group Shooting Method for Post Buckling Calculations of ElasticaChein‐Shan Liu — 2008
• The Lie-Group Shooting Method for Singularly Perturbed Two-Point Boundary Value ProblemsChein‐Shan Liu — 2006
• On the Solution of the Laminar Boundary-Layer EquationsMelvin Epstein — 1959
• Computational methods in engineering boundary value problemsT. Na — 1979
• Grenzschichten in Flüssigkeiten mit kleiner ReibungHeinrich Blasius — 1907
• The Lie-Group Shooting Method for Nonlinear Two-Point Boundary Value Problems Exhibiting Multiple SolutionsChein‐Shan Liu — 2006
• The Laminar Boundary LayerN.A.V. Piercy, Laurence Whitehead, R.A. Tyler — 1948
• The use of generalized Laguerre polynomials in spectral methods for nonlinear differential equationsI. Kh. Khabibrakhmanov, Danny Summers — 1998
• Cone of non-linear dynamical system and group preserving schemesChein‐Shan Liu — 2001
• A kind of approximate solution technique which does not depend upon small parameters — II. An application in fluid mechanicsShijun Liao — 1997
• Numerical solution of the Falkner-Skan equation using piecewise linear functionsAsai Asaithambi — 2004
• The solution of the blasius equation by the differential transformation methodYu Lien-Tsai, Cha’o-Kuang Chen — 1998
• Mass transfer between co-current fluid streams and boundary layer solutionsO.E. Potter — 1957
• Shooting and parallel shooting methods for solving the Falkner-Skan boundary-layer equationTuncer Cebeci, Herbert B. Keller — 1971
• Application of the differential transformation method to the solutions of Falkner-Skan wedge flowBor‐Lih Kuo — 2003

Cited by

• A Fictitious Time Integration Method for Solvingm-Point Boundary Value ProblemsChein‐Shan Liu — 2009
• A Lie-Group Shooting Method Estimating Nonlinear Restoring Forces in Mechanical SystemsChein‐Shan Liu — 2008
• Numerical Inversion of a Time-Dependent Reaction Coefficient in a Soil-Column Infiltrating ExperimentGongsheng Li, Dechen Yao, H. Jiang — 2011
• An implicit Lie-group iterative scheme for solving the nonlinear Klein–Gordon and sine-Gordon equationsChih‐Wen Chang, Chein‐Shan Liu — 2016
• Solving two typical inverse Stefan problems by using the Lie-group shooting methodChein‐Shan Liu — 2011
• A Third-Order p-Laplacian Boundary Value Problem Solved by an SL(3, ℝ) Lie-Group Shooting MethodChein‐Shan Liu — 2013
• An SL(3,) shooting method for solving the Falkner-Skan boundary layer equationChein‐Shan Liu — 2013
• The Lie-group shooting method for boundary-layer problems with suction/injection/reverse flow conditions for power-law fluidsChein‐Shan Liu — 2011
• Numerical solution of the Falkner-Skan equation using third-order and high-order-compact finite difference schemesCarlos Duque-Daza, Duncan A. Lockerby, Carlos Galeano — 2011
• The Chebyshev Tau Spectral Method for the Solution of the Linear Stability Equations for Rayleigh-Bénard Convection with Meltingn Avila, Eduardo Ramos, Satya N. Atluri — 2009
• Analysis of 2D Thin Walled Structures in BEM with High-Order Geometry Elements Using Exact IntegrationYaoming Zhang, Yan Gu, Jeng‐Tzong Chen — 2009
• Numerical Inversion of Multi-Parameters in Multi-Components Reactive Solutes Transportation in an Undisturbed Soil-Column ExperimentG.S. Li, D. Yao, Y.Z. Wang — 2009
• Boundary Layer Effect in BEM with High OrderY.M. Zhang, Yan Gu, J.T. Chen — 2009
• A Provenance Scheme for Emerging Water ContaminantsDian Hai Yang, Yongxin Zhu, Tian Huang — 2015
• Evaluation of nearly singular integrals in isogeometric boundary element methodYanpeng Gong, C.Y. Dong, Yang Bai — 2017
• A simple spatial integration scheme for solving Cauchy problems of non-linear evolution equationsChih‐Wen Chang, Chein‐Shan Liu, Jiang‐Ren Chang — 2017
• The semi-analytical evaluation for nearly singular integrals in isogeometric elasticity boundary element methodZhilin Han, Changzheng Cheng, Zongjun Hu — 2018
• The semianalytical analysis of nearly singular integrals in 2D potential problem by isogeometric boundary element methodZhilin Han, Yifan Huang, Changzheng Cheng — 2020
• Research on Emerging Water Contaminants Provenance System SchemeXiquan Yang, Dian Hai Yang — 2020
• A simple, efficient and accurate new Lie--group shooting method for solving nonlinear boundary value problemsS. Abbasbandy, M. Hajiketabi — 2021

Related papers

• Cone of non-linear dynamical system and group preserving schemesChein‐Shan Liu — 2001
• The Lie-Group Shooting Method for Nonlinear Two-Point Boundary Value Problems Exhibiting Multiple SolutionsChein‐Shan Liu — 2006
• The practical application of computational fluid mechanicsG. D. Raithby, Paul Galpin — 1991
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• Use of the method of parallel chords for solving difference equations of hydrodynamicsВ. А. Гасилов, В. Ф. Тишкин, A. P. Favorskii — 1981
• Numerical Method in Two Dimensional Boundary Layer Theory for Incompressible Viscous FluidMA Haque — 2013
• An introduction to numerical methods suitable for the Euler equationsPhilip L. Roe — 1983