Consistent, non-oscillatory RBF finite difference solutions to boundary layer problems for any degree on uniform grids

2021 ◽  
Vol 115 ◽  
pp. 106944
Author(s):  
Jiaxi Gu ◽  
Jae-Hun Jung
Keyword(s):  
Boundary Layer ◽  
Finite Difference ◽  
Uniform Grids ◽  
Boundary Layer Problems

scholarly journals Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
H. Ullah ◽  
S. Islam ◽  
M. Idrees ◽  
M. Arif
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Finite Difference ◽  
Asymptotic Method ◽  
Shooting Method ◽  
Approximate Solutions ◽  
Optimal Homotopy Asymptotic Method ◽  
Boundary Layer Problems ◽  
Convergence Of Approximate Solutions

Application of Optimal Homotopy Asymptotic Method (OHAM), a new analytic approximate technique for treatment of Falkner-Skan equations with heat transfer, has been applied in this work. To see the efficiency of the method, we consider Falkner-Skan equations with heat transfer. It provides us with a convenient way to control the convergence of approximate solutions when it is compared with other methods of solution found in the literature as finite difference (N. S. Asaithambi, 1997) and shooting method (Cebeci and Keller, 1971). The obtained solutions show that OHAM is effective, simpler, easier, and explicit.

scholarly journals On the Comparison between Compact Finite Difference and Pseudospectral Approaches for Solving Similarity Boundary Layer Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-15 ◽  
Author(s):  
P. G. Dlamini ◽  
S. S. Motsa ◽  
M. Khumalo
Keyword(s):  
Boundary Layer ◽  
Finite Difference ◽  
Relaxation Method ◽  
Alternative Form ◽  
Quasilinearization Method ◽  
Systems Of Equations ◽  
Computationally Efficient ◽  
Compact Finite Difference ◽  
Boundary Layer Equations ◽  
Boundary Layer Problems

We introduce two methods based on higher order compact finite differences for solving boundary layer problems. The methods called compact finite difference relaxation method (CFD-RM) and compact finite difference quasilinearization method (CFD-QLM) are an alternative form of the spectral relaxation method (SRM) and spectral quasilinearization method (SQLM). The SRM and SQLM are Chebyshev pseudospectral-based methods which have been successfully used to solve boundary layer problems. The main objective of this paper is to give a comparison of the compact finite difference approach against the pseudo-spectral approach in solving similarity boundary layer problems. In particular, we seek to identify the most accurate and computationally efficient method for solving systems of boundary layer equations in fluid mechanics. The results of the two approaches are comparable in terms of accuracy for small systems of equations. For larger systems of equations, the proposed compact finite difference approaches are more accurate than the spectral-method-based approaches.

scholarly journals Extension of Blasius Newtonian Boundary Layer to Blasius Non-Newtonian Boundary Layer

2021 ◽  
Vol 9 (2) ◽  
pp. 35-41
Author(s):  
Manisha Patel ◽  
Hema Surati ◽  
M G Timol
Keyword(s):  
Boundary Layer ◽  
Similarity Solutions ◽  
Power Law Model ◽  
Prandtl Model ◽  
Blasius Boundary Layer ◽  
Blasius Equation ◽  
Boundary Layer Problems ◽  
The One ◽  
Graphical Presentation ◽  
Theory Technique

Blasius equation is very well known and it aries in many boundary layer problems of fluid dynamics. In this present article, the Blasius boundary layer is extended by transforming the stress strain term from Newtonian to non-Newtonian. The extension of Blasius boundary layer is discussed using some non-newtonian fluid models like, Power-law model, Sisko model and Prandtl model. The Generalised governing partial differential equations for Blasius boundary layer for all above three models are transformed into the non-linear ordinary differewntial equations using the one parameter deductive group theory technique. The obtained similarity solutions are then solved numerically. The graphical presentation is also explained for the same. It concludes that velocity increases more rapidly when fluid index is moving from shear thickninhg to shear thininhg fluid.MSC 2020 No.: 76A05, 76D10, 76M99

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