Derive the Brinkman force variable defined as a source term.
It multiplies the Brinkman coefficient variable as defined by the user with the negative velocity field to obtain the force term. This force term is then converted to a state value that is to be added to the state.
Reference: 1) Zhaoli Guo and T. S. Zhao. “Lattice Boltzmann Model for Incompressible Flows through Porous Media”. In: Physical Review E 66.3 (2002), p. 036304. doi: 10.1103/PhysRevE.66.036304. 2) Irina Ginzburg. “Consistent lattice Boltzmann schemes for the Brinkman model of porous flow and infinite Chapman-Enskog expansion”. In: Phys. Rev. E 77 (6 June 2008), p. 066704. doi: 10.1103/PhysRevE.77.066704.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| class(tem_varSys_op_type), | intent(in) | :: | fun |
Description of the method to obtain the variables, here some preset values might be stored, like the space time function to use or the required variables. |
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| type(tem_varSys_type), | intent(in) | :: | varSys |
The variable system to obtain the variable from. |
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| integer, | intent(in) | :: | elempos(:) |
Position of the TreeID of the element to get the variable for in the global treeID list. |
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| type(tem_time_type), | intent(in) | :: | time |
Point in time at which to evaluate the variable. |
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| type(treelmesh_type), | intent(in) | :: | tree |
global treelm mesh info |
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| integer, | intent(in) | :: | nElems |
Number of values to obtain for this variable (vectorized access). |
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| integer, | intent(in) | :: | nDofs |
Number of degrees of freedom within an element. |
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| real(kind=rk), | intent(out) | :: | res(:) |
Resulting values for the requested variable. Linearized array dimension: (n requested entries) x (nComponents of this variable) x (nDegrees of freedom) Access: (iElem-1)fun%nComponentsnDofs + (iDof-1)*fun%nComponents + iComp |