Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement

2009 ◽  
Vol 46 (1) ◽  
pp. 83-89 ◽  
Author(s):  
Murat Manguoglu ◽  
Kenji Takizawa ◽  
Ahmed H. Sameh ◽  
Tayfun E. Tezduyar
2010 ◽  
Vol 65 (1-3) ◽  
pp. 135-149 ◽  
Author(s):  
Murat Manguoglu ◽  
Kenji Takizawa ◽  
Ahmed H. Sameh ◽  
Tayfun E. Tezduyar

1970 ◽  
Vol 92 (3) ◽  
pp. 503-508 ◽  
Author(s):  
T. Y. Na

An initial value method is introduced in this paper for the solution of a class of nonlinear two-point boundary value problems. The method can be applied to the class of equations where certain physical parameters appear either in the differential equation or in the boundary conditions or both. Application of this method to two problems in Fluid Mechanics, namely, Blasius’ boundary layer equation with suction (or blowing) and/or slip and the unsteady flow of a gas through a porous medium, are presented as illustrations of this method. The trial-and-error process usually required for the solution of such equations is eliminated.


Author(s):  
Ahmad Fakheri

A classical problem in fluid mechanics and heat transfer is boundary layer flow over a flat plate. This problem is used to demonstrate a number of important concepts in fluid mechanics and heat transfer. Typically, in a basic course, the equations are derived and the solutions are presented in tabular or chart from. Obtaining the actual solutions is mathematically and numerically too involved to be covered in basic courses. In this paper, it is shown that the similarity solution and the solution to boundary layer equations in the primitive variables can easily be obtained using spreadsheets. Without needing much programming skills, or needing to learn specialized software, undergraduate students can use this approach and obtain the solution and study the impact of different parameters.


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