### What platforms are supported for M-Star CFD?¶

M-Star CFD platform compatibility is shown below for each component

• Pre-Processor: Windows, Linux

• Solver: Windows, Linux

• Post-Processor: Windows, Linux

## User Defined Expression Syntax¶

Users can define custom expressions for inlet/outlet boundary conditions, using standard C++ functions and operators

Table 9 Preconfigured Functions

Name

Explanation

sin

sine function

cos

cosine function

tan

tangent function

asin

inverse sine function

acos

inverse cosine function

atan

inverse tangent function

sinh

hyperbolic sine function

cosh

hyperbolic cosine funtion

tanh

hyperbolic tangent function

asinh

inverse hyperbolic sin function

acosh

inverse hyperbolic cosine function

atanh

inverse hyperbolic tangent function

log2

logarithm to the base 2

log10

logarithm to the base 10

log

logarithm to base e (2.71828)

ln

logarithm to base e (2.71828)

exp

e raised to the power of x

sqrt

square root of a value

sign

sign function -1 if x<0; 1 if x>0; 0 if x==0

rint

round to nearest integer

abs

absolute value

min

min of all arguments

max

max of all arguments

sum

sum of all arguments

avg

mean value of all arguments

Table 10 Preconfigured Operators

Name

Explanation

=

assignment

&&

logical and

||

logical or

<=

less or equal

>=

greater or equal

!=

not equal

==

equal

>

greater than

<

less than

+

-

subtraction

*

multiplication

/

division

^

raise x to the power of y

?

if then else operator

Example Velocity Expressions.

Beginning at time zero, ramp-up velocity from zero to constant value v1 over period t1 using a quarter sine wave, define:

t<t1?v1*sin(t/t1*3.1416/2.):v1


For example, increase the velocity from zero to 3 m/s over 0.6 s interval:

t<0.6?3.*sin(t/0.6*3.1416/2.):3.


Or, beginning at time zero, ramp-down velocity from v2 to zero over period t2:

t<t2?(v2*(1-sin(t/t2*3.1416/2.)):0


For example, decrease the velocity from 4 m/s to zero over 0.7 s:

t<0.7?(4.*(1-sin(t/0.7*3.1416/2.)):0


Or, to ramp up from zero velocity over period t1 to v1. Hold v1 for time period t2. Ramp-down velocity from v1 to zero over period t3:

t<t1 ? v1*sin(t/t1*3.1416/2.) : (t<(t1+t2)) ? v1 : (t<(t1+t2+t3))?(v1*(1-sin((t-t1-t2)/t3*3.1416/2.))):0


For example, to ramp up from zero velocity over period 0.8 s to 2.2 m/s. Hold 2.2 m/s for time period 1.3 s. Ramp-down velocity from 2.2 m/s to zero over period 0.1 s:

t<0.8 ? 2.2*sin(t/0.8*3.1416/2.) : ((t<(0.8+1.3)) ? v1 : (t<(0.8+1.3+0.1))? (2.2*(1-sin((t-0.8-1.3)/0.1*3.1416/2.))):0)


Example Pressure Expressions.

Beginning at time zero, ramp-up Pressure from P1 to constant value P2 over period t1 using a quarter sine wave, define:

t<t1?(P2-P1)*sin(t/t1*3.1416/2.)+P1:P2


For example, increase the pressure from 100,000 to 110,000 Pa over 0.6 s interval:

t<0.6?10000*sin(t/0.6*3.1416/2.)+100000:110000


Or, beginning at time zero, ramp-down pressure from P2 to P1 over period t2:

t<t2?(P2-(P2-P1)*(1-sin(t/t2*3.1416/2.)):P1


For example, decrease the pressure from 110,000 Pa to 100,000 Pa over 0.7 s:

t<0.7?(110000-10000.*(1-sin(t/0.7*3.1416/2.)):100000


The M-Star CFD software uses the following software libraries. Each software library is listed along with either a link to, or the complete license text reproduced in each section.

### HDF5¶

HDF5 (Hierarchical Data Format 5) Software Library and Utilities Copyright (c) 2006, The HDF Group.

NCSA HDF5 (Hierarchical Data Format 5) Software Library and Utilities Copyright (c) 1998-2006, The Board of Trustees of the University of Illinois.

Redistribution and use in source and binary forms, with or without modification, are permitted for any purpose (including commercial purposes) provided that the following conditions are met:

1. Redistributions of source code must retain the above copyright notice, this list of conditions, and the following disclaimer.

2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions, and the following disclaimer in the documentation and/or materials provided with the distribution.

3. In addition, redistributions of modified forms of the source or binary code must carry prominent notices stating that the original code was changed and the date of the change.

4. All publications or advertising materials mentioning features or use of this software are asked, but not required, to acknowledge that it was developed by The HDF Group and by the National Center for Supercomputing Applications at the University of Illinois at Urbana-Champaign and credit the contributors.

5. Neither the name of The HDF Group, the name of the University, nor the name of any Contributor may be used to endorse or promote products derived from this software without specific prior written permission from The HDF Group, the University, or the Contributor, respectively.

DISCLAIMER: THIS SOFTWARE IS PROVIDED BY THE HDF GROUP AND THE CONTRIBUTORS “AS IS” WITH NO WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED. In no event shall The HDF Group or the Contributors be liable for any damages suffered by the users arising out of the use of this software, even if advised of the possibility of such damage.

### muParser¶

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the “Software”), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

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### TinyXML¶

TinyXML is released under the zlib license:

This software is provided ‘as-is’, without any express or implied warranty. In no event will the authors be held liable for any damages arising from the use of this software.

### wxWidgets¶

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### boost¶

Boost Software License - Version 1.0 - August 17th, 2003

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### cub¶

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• Redistributions in binary form must reproduce the above copyright

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• Neither the name of the NVIDIA CORPORATION nor the

names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

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### freeimage¶

This software uses the FreeImage open source image library. See http://freeimage.sourceforge.net for details.

FreeImage is used under the (GNU GPL or FIPL), version (license version).

FIPL may be found here – http://freeimage.sourceforge.net/freeimage-license.txt

### FreeType¶

This software uses in part of the work of the FreeType team.

The FTL license may be found here – https://git.savannah.gnu.org/cgit/freetype/freetype2.git/tree/docs/FTL.TXT

https://www.freetype.org/index.html

Version 2.0, January 2004

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### Tcl/Tk¶

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### Better Enums¶

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### LLVM Clang¶

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### NVidia CUDA¶

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### Paraview¶

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Code generated by the Protocol Buffer compiler is owned by the owner of the input file used when generating it. This code is not standalone and requires a support library to be linked with it. This support library is itself covered by the above license.

Copyright (c) 2011, 2012 [Novus Partners, Inc.][novus]

Licensed under the Apache License, Version 2.0 (the “License”); you may not use this file except in compliance with the License. You may obtain a copy of the License at

Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an “AS IS” BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

• Redistributions of source code must retain the above copyright notice, this

list of conditions and the following disclaimer.

• Redistributions in binary form must reproduce the above copyright notice,

this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.

• The name Michael Bostock may not be used to endorse or promote products

derived from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS “AS IS” AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL MICHAEL BOSTOCK BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

Copyright 2013 jQuery Foundation and other contributors http://jquery.com/

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the “Software”), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

### Python¶

Developed by Python Software Foundation – https://docs.python.org/3/license.html

### Microsoft MS MPI¶

mpich COPYRIGHT The following is a notice of limited availability of the code, and disclaimer which must be included in the prologue of the code and in all source listings of the code. Copyright Notice + 2002 University of Chicago Permission is hereby granted to use, reproduce, prepare derivative works, and to redistribute to others. This software was authored by: Mathematics and Computer Science Division Argonne National Laboratory, Argonne IL 60439 (and) Department of Computer Science University of Illinois at Urbana-Champaign

Portions of this material resulted from work developed under a U.S. Government Contract and are subject to the following license: the Government is granted for itself and others acting on its behalf a paid-up, nonexclusive, irrevocable worldwide license in this computer software to reproduce, prepare derivative works, and perform publicly and display publicly.

DISCLAIMER

This computer code material was prepared, in part, as an account of work sponsored by an agency of the United States Government. Neither the United States, nor the University of Chicago, nor any of their employees, makes any warranty express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights.

### miniz¶

• Copyright 2010-2014 Rich Geldreich and Tenacious Software LLC

• Permission is hereby granted, free of charge, to any person obtaining a copy

• of this software and associated documentation files (the “Software”), to deal

• in the Software without restriction, including without limitation the rights

• to use, copy, modify, merge, publish, distribute, sublicense, and/or sell

• copies of the Software, and to permit persons to whom the Software is

• furnished to do so, subject to the following conditions:

• The above copyright notice and this permission notice shall be included in

• all copies or substantial portions of the Software.

• THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR

• IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,

• FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE

• AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER

• LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,

• OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN

• THE SOFTWARE.

### angelscript¶

AngelCode Scripting Library

This software is provided ‘as-is’, without any express or implied warranty. In no event will the authors be held liable for any damages arising from the use of this software.

Permission is granted to anyone to use this software for any purpose, including commercial applications, and to alter it and redistribute it freely, subject to the following restrictions:

1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required.

2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software.

3. This notice may not be removed or altered from any source distribution.

The original version of this library can be located at: http://www.angelcode.com/angelscript/

Andreas Jonsson andreas@angelcode.com