- Author:
- Soroush <ssaf006@aucklanduni.ac.nz>
- Date:
- 2018-03-28 16:04:58+13:00
- Desc:
- added the project file
- Permanent Source URI:
- https://models.cellml.org/workspace/47d/rawfile/6fad47e8e5e097485b35964f4e00dfa6801c05c0/project/dtp_bgproject.cellml
<?xml version='1.0'?>
<model name="BG_Project" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<!-- Units-->
<units name="J_per_C">
<unit units="joule"/>
<unit exponent="-1" units="coulomb"/>
</units>
<units name="C_per_s">
<unit units="coulomb"/>
<unit exponent="-1" units="second"/>
</units>
<units name="C_per_s2">
<unit units="coulomb"/>
<unit exponent="-2" units="second"/>
</units>
<units name="C2_per_J">
<unit exponent="2" units="coulomb"/>
<unit exponent="-1" units="joule"/>
</units>
<units name="Js_per_C2">
<unit units="joule"/>
<unit units="second"/>
<unit exponent="-2" units="coulomb"/>
</units>
<units name="Js2_per_C2">
<unit units="joule"/>
<unit exponent="2" units="second"/>
<unit exponent="-2" units="coulomb"/>
</units>
<units name="radian_per_s">
<unit units="radian"/>
<unit exponent="-1" units="second"/>
</units>
<units name="J_per_m">
<unit units="joule"/>
<unit exponent="-1" units="metre"/>
</units>
<units name="J_per_rad">
<unit units="joule"/>
<unit exponent="-1" units="radian"/>
</units>
<units name="m_per_s">
<unit units="metre"/>
<unit exponent="-1" units="second"/>
</units>
<units name="m_per_s2">
<unit units="metre"/>
<unit exponent="-2" units="second"/>
</units>
<units name="m2_per_J">
<unit exponent="2" units="metre"/>
<unit exponent="-1" units="joule"/>
</units>
<units name="Js_per_m2">
<unit units="joule"/>
<unit units="second"/>
<unit exponent="-2" units="metre"/>
</units>
<units name="J_per_m2">
<unit units="joule"/>
<unit exponent="-2" units="metre"/>
</units>
<units name="Js2_per_m2">
<unit units="joule"/>
<unit exponent="2" units="second"/>
<unit exponent="-2" units="metre"/>
</units>
<units name="Js_per_m">
<unit units="joule"/>
<unit exponent="1" units="second"/>
<unit exponent="-1" units="metre"/>
</units>
<units name="Js_per_Cm">
<unit units="joule"/>
<unit units="second"/>
<unit exponent="-1" units="coulomb"/>
<unit exponent="-1" units="meter"/>
</units>
<units name="Js_per_rad2">
<unit units="joule"/>
<unit units="second"/>
<unit exponent="-2" units="radian"/>
</units>
<units name="Js2_per_rad2">
<unit units="joule"/>
<unit exponent="2" units="second"/>
<unit exponent="-2" units="radian"/>
</units>
<!-- main-->
<component name="main">
<variable name="t" units="second"/>
<!-- state variables-->
<variable initial_value="0" name="v_1" units="C_per_s"/>
<variable name="v_2" units="radian_per_s"/>
<variable initial_value="0" name="v_3" units="m_per_s"/>
<variable initial_value="20" name="u_1" units="J_per_C"/>
<variable name="u_2" units="J_per_C"/>
<variable name="u_3" units="J_per_C"/>
<variable name="u_4" units="J_per_C"/>
<variable name="u_5" units="J_per_rad"/>
<variable name="u_6" units="J_per_rad"/>
<variable name="u_7" units="J_per_rad"/>
<variable name="u_8" units="J_per_m"/>
<variable name="u_9" units="J_per_m"/>
<variable name="u_10" units="J_per_m"/>
<!-- Constitutive parameters-->
<variable initial_value="10000" name="R_1" units="Js_per_C2"/>
<variable initial_value="10" name="R_2" units="Js_per_rad2"/>
<variable initial_value="1" name="L_1" units="Js2_per_C2"/>
<variable initial_value="10" name="L_2" units="Js2_per_m2"/>
<variable initial_value="9.81" name="g" units="m_per_s2"/>
<!-- conversion parameter-->
<variable initial_value="5" name="n" units="dimensionless"/>
<variable initial_value="3" name="r" units="Js_per_Cm"/>
<!-- Conservation Laws-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>u_1</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>u_2</ci>
</apply>
<ci>u_3</ci>
</apply>
<ci>u_4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_5</ci>
<apply>
<plus/>
<ci>u_6</ci>
<ci>u_7</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_8</ci>
<apply>
<plus/>
<ci>u_9</ci>
<ci>u_10</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_10</ci>
<apply>
<times/>
<ci>L_2</ci>
<ci>g</ci>
</apply>
</apply>
<!-- Constitutive Relaton-->
<apply>
<eq/>
<ci>u_2</ci>
<apply>
<times/>
<ci>R_1</ci>
<ci>v_1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_6</ci>
<apply>
<times/>
<ci>R_2</ci>
<ci>v_2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>v_1</ci>
</apply>
<apply>
<divide/>
<ci>u_3</ci>
<ci>L_1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>v_3</ci>
</apply>
<apply>
<divide/>
<ci>u_9</ci>
<ci>L_2</ci>
</apply>
</apply>
<!-- Transformations-->
<apply>
<eq/>
<ci>u_5</ci>
<apply>
<times/>
<ci>r</ci>
<ci>v_1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_4</ci>
<apply>
<times/>
<ci>r</ci>
<ci>v_2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_8</ci>
<apply>
<times/>
<ci>n</ci>
<ci>u_7</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_2</ci>
<apply>
<times/>
<ci>n</ci>
<ci>v_3</ci>
</apply>
</apply>
</math>
</component>
</model>
