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Automatic step size calculation in our finite element meshing software.
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What is Automatic Step Size Calculation ?
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A principal advantage of the Finite Element Analysis is that it delivers
accurate solutions in domains of extremely complicated shapes. Quite
often, boundaries of such domains represent closed sequences of linear
and arc entities. Sizes of finite elements to be generated in a particular
domain usually depend on a user-defined step size; the latter is
normally set individually for each entity.
However, when the overall number of entities reaches several dozens or
hundreds, it is unreasonable to ask the user to manually set a desirable
step size on each and every entity. An automatic step calculation
algorithm based on feature sizes becomes highly desirable.
Our company developed and implemented an
efficient and very accurate algorithm for that purpose. Now it comprises a part
of our automatic quadrilateral mesh generators
QUAD-GEN 3.5 and QUAD-BUILD 5.0,
which are very powerful and reliable programs, capable of generating
meshes in domains of most complicated and irregular geometries.
Their complete source codes are available with
the full commercial license.
The following image is provided to illustrate a quadrilateral mesh
generated by QUAD-GEN 3.5 using our automatic step
calculation algorithm. All the user has to do is to define the entities
themselves, and correct step sizes are then calculated by the program individually
for each entity. It can be seen that step sizes are adequately reduced in the vicinities of
short entities and increased where it is allowed by
geometrical properties of the boundary.
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To learn about the complete range of our products, please follow
this link. If you need more information,
please contact us (preferably by e-mail). We can also help you with other
mesh generation, computational geometry and general finite element
analysis needs.
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