Recent Advances in the Application of Differential Equations in Mechanical Engineering Problems

The present method is, in principle, advantageous over the conventional methods based on control volumes in that pressure and shear stress can be evaluated separately. [...]authors have applied the present method to the computation of the drag force acting on a sphere in Stokes flow and have investi...

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Bibliographic Details
Published in:Mathematical problems in engineering Vol. 2018; pp. 1 - 3
Main Authors: Ellahi, Rahmat, Fetecau, Constantin, Sheikholeslami, Mohsen
Format: Journal Article
Language:English
Published: New York Hindawi 01.01.2018
John Wiley & Sons, Inc
Subjects:
Chemical reactions
Differential equations
Editorials
Engineering
Lie groups
Magnetic fields
Mathematical models
Mechanical engineering
Mechanics
Ordinary differential equations
Partial differential equations
Researchers
Sensors
ISSN:1024-123X, 1563-5147
Online Access:Get full text
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Summary:The present method is, in principle, advantageous over the conventional methods based on control volumes in that pressure and shear stress can be evaluated separately. [...]authors have applied the present method to the computation of the drag force acting on a sphere in Stokes flow and have investigated the effects of grid spacing and extrapolation methods on the errors originating from the present force estimation method by using the existing analytical solutions. [...]the accuracy of the proposed mesh-based scheme has been proven to be comparable to that of the polygon-based scheme, which is commonly adopted in straightforward implementation. [...]the simultaneous strategy based on the finite element is used to transform the differential and algebraic optimization problems (DAOPs) into large scale nonlinear programming problems. [...]in order to improve the computational accuracy with less finite element, moving finite element strategy was used for dynamically adjusting the length of finite element appropriately to satisfy the set margin of error.
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ISSN:1024-123X
1563-5147
DOI:10.1155/2018/1584920