Introduction
Any engineering problem
can be solved with one of the following approaches: analytical, experimental
and numerical; from these, numerical analysis is the single most effective tool
that can give insight to virtually any level of detail. Numerical analysis is
practically a science placed at the intersection of mathematics, computer
science and physics.
The most extraordinary
aspect of this science is that it takes shape in computer programs that model
the real life and can predict the behavior of matter. I won’t go into details
of how this modeling is done or how accurate it is. But it is notable that
numerical analysis is becoming more and more used in industry and this trend is
sustained by the development of IT.
The first FEA and CFD
analyses were performed in ’50 on 1 processor computers that had the size of a
large storage cabinet; today one can fit up to 32 processors and 512GB of RAM
into a normal size computer; this sure sounds impressive, but interesting
things are yet to come.
With the development of hardware, the software also evolved extensively; we can say now that the FEA software has matured in the aspect of accuracy, application and ease of use; the CFD software has also reached a high level of detail insight taking advantage of the visualization developments.
Now all this effort
comes at a price, sometimes very high; those that invested in research and
development of these wonderful tools must be compensated for their work. The
research goes in understanding the physics, creating better numerical schemes
and creating better algorithms and interfaces.
Fact is, in the last 20
years or so little was done in the first two directions. The physics and
numerical schemes are now available at almost no cost; the biggest endeavors
were made in computer science: making the code faster, the interface more
intuitive, automating more and more actions. This clearly reduces the time
spend and permits average engineer to make a simulation for fast results. But
the way I see it, this makes room for problems as well: lack of experience
personnel, limitations on problem setup and hidden errors in software.
Commercial vs Open-source
Given that all the
information needed to create numerical solution is available, many software
solutions appeared; some of them are commercial and others are open-source; commercial
means you have to pay for the use of the software; but there are other payments
requested for the use of multiple processors, for customer support and
training; you cannot use the full computing power until you pay for a license
for parallel computing; basically you have pay for everything, and even to use
what is yours already.
Open-source on the other
hand do not charge for license and let you use all your computing power at no
costs; on the other hand they give support and training on demand based on a
fee; the fees are comparable with those for the commercial software. Therefore
open-source doesn’t mean free as in cost-free, but it can be seen more as the
freedom to access the knowledge and resources. The open-source software allows
user to access and improve the source code in order to make custom
applications.
The open-source
community is very active and it is interested in many fields, including engineering;
just to see some of the available open-source solutions, I have made a list
below:
Each code has its ups and downs and here is not the place to go into detail and describe how good is each of them and if it could give the same efficiency as the commercial alternative.
SOFTWARE
|
USED FOR
|
QCAD
|
2D
& 3D CAD
|
FreeCAD
|
2D
& 3D CAD
|
SagCad
|
2D
& 3D CAD
|
Salome
|
3D CAD
Meshing
Post
Processing
|
GMSH
|
Geometry
Modelling
Meshing
Post
Processing
|
enGrid
|
CFD
Oriented Mesher
|
Discretizer
|
Structured
mesh generator for OpenFOAM
|
Code
Aster
|
Multiphysics
FEA
|
Elmer
|
Multiphysics
FE package
|
Impact
|
Explicit
FE Dynamics
|
Calculix
|
Pre-post
& FE solver, Abaqus-like syntax
|
MBDyn
|
Multibody
Dynamics
|
Dynela
|
Non-linear
Explicit Dynamics
|
Fenics
|
General
purpose FE solver for multiphysics applications
|
OpenFOAM
|
Multipurpose
CFD Solvers
|
Code
Saturne
|
3D
CFD solver
|
Gerris
|
2D /
3D CFD Solvers
|
Paraview
|
General
Purpose 3D Visualization
|
Python
|
Programming
language used for scientific computing
|
R
|
Mathematical
modelling & statistics (similar to S-Plus)
|
Scilab
|
Matlab/Simulink-like
mathematical programming environment
|
Octave
|
MATLAB
compatible mathematical programming
|
wxMaxima
|
Maple
like symbolic computing environment
|
Each code has its ups and downs and here is not the place to go into detail and describe how good is each of them and if it could give the same efficiency as the commercial alternative.
A case study on CFD tools
From the beginning I
want to be noted that I do not favor any CAE provider, commercial of open. But
I think that for the sake of good business, an objective comparison for the ups
and downs is appropriate. Therefore, I will compare two alternatives in the
field I am more comfortable with.
Let’s take the case of CFD;
based on the cfd-online.com software user forums, we have the following usage
of solvers (no. of CFD solvers threads on cfd-online forums @ 22.05.2015):
SOFTWARE
|
THREADS
|
% of USERS
|
FLUENT
|
41
845
|
42%
|
OPENFOAM
|
29
104
|
29%
|
CFX
|
16
468
|
17%
|
CD-adapco
|
7
595
|
8%
|
OTHER
|
4
305
|
4%
|
These data show that the
second most used CFD code is OpenFOAM, an open-source code; of course, these
figures are subject to discussion. I already mentioned the costs implied; from
my opinion, if costs are the most important, OpenFOAM is way cheaper than
Fluent.
Another big issue is the accuracy these tools may provide; on the other hand I am obliged to ask what the accuracy of a commercial code is and who grants that? In order to answer this and not favor any party, I will show you the results of Aku Karvinen and Hannu Ahlstedt documented in their paper. Aku and Hannu studied a separated flow in a three-dimensional diffuser using OpenFOAM and Fluent; simulations were performed using two turbulence models in both codes; the setup problem is shown below:
Geometry, dimensions and coordinate systems of the three-dimensional diffuser |
A diffuser is a popular
separated flow test because of its apparently simple geometry. Many
experimental studies have been performed on diffusers and data is available for
comparison with numerical results. The working fluid is water that enters the domain
with a velocity of 1 m/s; based on the fluid properties and domain dimensions,
the Reynolds number is about 10000.
The objective is to see
how well are the velocity components computed with OpenFOAM and Fluent;
instances of the velocity distribution are determined at each 3 cm for the
first 15 cm of the diffuser. Below we can see a comparison between
experimental, Fluent and OpenFOAM results of the x component velocity; two
turbulence models have been taken into consideration.
In the following plots
one can see the mean streamwise velocities, x component at diffuser
cross-sections various distances from the origin using k-ε model; contour lines
are spaced 0.1 apart; the zero velocity contour line is thicker than others:
In the following plots
one can see the mean streamwise velocities, x component at diffuser
cross-sections various distances from the origin using Reynolds Stress model;
contour lines are spaced 0.1 apart; the zero velocity contour line is thicker
than others:
For even more results,
please refer to the original paper; the conclusion that we can get out of the
presented plots is that there are considerable differences between results
obtained using different turbulence models; the best results are obtained with
Reynolds stress model used in Fluent.
Unfortunately this model
is rarely used in industrial simulations because it is very time consuming and
turbulence models like k-ε and k-ω are faster. Comparing the plots from Fig.2, in
which the k-ε was used, one can see very similar results for both codes.
Therefore it can be concluded that for the applications used in industry,
Fluent and OpenFOAM can give remarkably similar results.
Conclusion
Keep in mind that the
success of one open-source solution doesn’t prove that all solutions are good
or immediately applicable; but, for the sake of business development I think we
can give them a chance to prove their capability.
In this article I showed
only a small fraction of what the open-source tools are capable of; in the next
issues of the magazine we will go into much greater detail on the opportunities
that open-source have to offer.
References:
Aku Karvinen and Hannu
Ahlstedt, Comparison of turbulence models
in case of three-dimensional diffuser, available online, at link
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