Mesh Generation Methods and Moving Mesh Generation Using Developed Program
[Mehmet ÇINAR] Volume 6: Issue 3, Sept 2019, pp 121 - 126
DOI: 10.26706/IJAEFEA.2.6.20190803
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Abstract - One of the most commonly used methods in
numerical solution of partial differential equations is the finite element
method. In the finite element method, the region to be analyzed is divided into
sub-sections called solution regions provided that the boundaries of the region
are determined. This subdivision method depends on the type of differential
equation to be solved. A variety of solution network production techniques are
used to subdivide the solution region. By selecting the appropriate method, the
solution region is divided into sub-compartments to ensure that the solution
is faster and more accurate. The classical finite element method gives accurate
results when instant analysis is performed on the solution area. However, in
cases where partial differential equations change with time and solution
network changes regionally, it is useful to use moving finite element method
instead of classical finite element method. The use of a moving finite element
method allows analysis to be carried out only in varying regions of the
solution network to ensure rapid results. In this study, two dimensional
solution network production techniques are mentioned. With the help of the
developed program, regional changes on the solution network are explained in
detail. As an application, C ++ based software was implemented.
Index terms - Mesh
Generation Methods , Finite Element Method, Moving mesh generation.
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