.. _lumped_rate_model_without_pores_config:

Lumped Rate Model Without Pores
===============================

Group /input/model/unit_XXX - UNIT_TYPE = LUMPED_RATE_MODEL_WITHOUT_PORES
-------------------------------------------------------------------------

For information on model equations, refer to :ref:`lumped_rate_model_without_pores_model`.


``UNIT_TYPE``

   Specifies the type of unit operation model
   
   ================  ===========================================================  =============
   **Type:** string  **Range:** :math:`\texttt{LUMPED_RATE_MODEL_WITHOUT_PORES}`  **Length:** 1
   ================  ===========================================================  =============
   
``NCOMP``

   Number of chemical components in the chromatographic medium
   
   =============  =========================  =============
   **Type:** int  **Range:** :math:`\geq 1`  **Length:** 1
   =============  =========================  =============
   
``ADSORPTION_MODEL``

   Specifies the type of binding model
   
   ================  ==========================================  =============
   **Type:** string  **Range:** See Section :ref:`FFAdsorption`  **Length:** 1
   ================  ==========================================  =============
   
``NBOUND``

   Number of bound states for each component
   
   =============  =========================  ==================================
   **Type:** int  **Range:** :math:`\geq 0`  **Length:** :math:`\texttt{NCOMP}`
   =============  =========================  ==================================
   
``REACTION_MODEL``

   Specifies the type of reaction model of the combined bulk and particle volume. The model is configured in the subgroup :math:`\texttt{reaction}`.
   
   ================  ========================================  =============
   **Type:** string  **Range:** See Section :ref:`FFReaction`  **Length:** 1
   ================  ========================================  =============
   
``INIT_C``

   Initial concentrations for each component in the bulk mobile phase

   **Unit:** :math:`\mathrm{mol}\,\mathrm{m}_{\mathrm{IV}}^{-3}`
   
   ================  =========================  ===================================
   **Type:** double  **Range:** :math:`\geq 0`  **Length:** :math:`\texttt{NCOMP}`
   ================  =========================  ===================================
   
``INIT_Q``

   Initial concentrations for each bound state of each component in the bead solid phase in component-major ordering

   **Unit:** :math:`\mathrm{mol}\,\mathrm{m}_{\mathrm{SP}}^{-3}`
   
   ================  =========================  =======================================
   **Type:** double  **Range:** :math:`\geq 0`  **Length:** :math:`\texttt{NTOTALBND}`
   ================  =========================  =======================================
   
``INIT_STATE``

   Full state vector for initialization (optional, :math:`\texttt{INIT_C}` and :math:`\texttt{INIT_Q}` will be ignored; if length is :math:`2\texttt{NDOF}`, then the second half is used for time derivatives)

   **Unit:** :math:`various`
   
   ================  =============================  ===================================================
   **Type:** double  **Range:** :math:`\mathbb{R}`  **Length:** :math:`\texttt{NDOF} / 2\texttt{NDOF}`
   ================  =============================  ===================================================
   
``COL_DISPERSION``

   Axial dispersion coefficient

   **Unit:** :math:`\mathrm{m}_{\mathrm{IV}}^{2}\,\mathrm{s}^{-1}`
   
   ================  =========================  =========================================================
   **Type:** double  **Range:** :math:`\geq 0`  **Length:** see :math:`\texttt{COL_DISPERSION_MULTIPLEX}`
   ================  =========================  =========================================================
   
``COL_DISPERSION_MULTIPLEX``

   Multiplexing mode of :math:`\texttt{COL_DISPERSION}`. Determines whether :math:`\texttt{COL_DISPERSION}` is treated as component- and/or section-independent.  This field is optional. When left out, multiplexing behavior is inferred from the length of :math:`\texttt{COL_DISPERSION}`.  Valid modes are: 

  0. Component-independent, section-independent; length of :math:`\texttt{COL_DISPERSION}` is :math:`1` 
  1. Component-dependent, section-independent; length of :math:`\texttt{COL_DISPERSION}` is :math:`\texttt{NCOMP}` 
  2. Component-independent, section-dependent; length of :math:`\texttt{COL_DISPERSION}` is :math:`\texttt{NSEC}` 
  3. Component-dependent, section-dependent; length of :math:`\texttt{COL_DISPERSION}` is :math:`\texttt{NCOMP} \cdot \texttt{NSEC}`; ordering is section-major 
   
   =============  ===================================  =============
   **Type:** int  **Range:** :math:`\{0, \dots, 3 \}`  **Length:** 1
   =============  ===================================  =============
   
``COL_LENGTH``

   Column length

   **Unit:** :math:`\mathrm{m}`
   
   ================  ======================  =============
   **Type:** double  **Range:** :math:`> 0`  **Length:** 1
   ================  ======================  =============
   
``TOTAL_POROSITY``

   Total porosity
   
   ================  ========================  =============
   **Type:** double  **Range:** :math:`[0,1]`  **Length:** 1
   ================  ========================  =============
   
``VELOCITY``

   Interstitial velocity of the mobile phase (optional if :math:`\texttt{CROSS_SECTION_AREA}` is present, see Section :ref:`MUOPGRMflow`)

   **Unit:** :math:`\mathrm{m}\,\mathrm{s}^{-1}`
   
   ================  =============================  ======================================
   **Type:** double  **Range:** :math:`\mathbb{R}`  **Length:** :math:`1 / \texttt{NSEC}`
   ================  =============================  ======================================
   
``CROSS_SECTION_AREA``

   Cross section area of the column (optional if :math:`\texttt{VELOCITY}` is present, see Section :ref:`MUOPGRMflow`)

   **Unit:** :math:`\mathrm{m}^{2}`
   
   ================  =====================  =============
   **Type:** double  **Range:** :math:`>0`  **Length:** 1
   ================  =====================  =============
   

Group /input/model/unit_XXX/discretization - UNIT_TYPE = LUMPED_RATE_MODEL_WITHOUT_PORES
----------------------------------------------------------------------------------------


``NCOL``

   Number of axial column discretization cells
   
   =============  =========================  =============
   **Type:** int  **Range:** :math:`\geq 1`  **Length:** 1
   =============  =========================  =============
   
``USE_ANALYTIC_JACOBIAN``

   Determines whether analytically computed Jacobian matrix (faster) is used (value is 1) instead of Jacobians generated by algorithmic differentiation (slower, value is 0)
   
   =============  ===========================  =============
   **Type:** int  **Range:** :math:`\{0, 1\}`  **Length:** 1
   =============  ===========================  =============
   
``RECONSTRUCTION``

   Type of reconstruction method for fluxes
   
   ================  ================================  =============
   **Type:** string  **Range:** :math:`\texttt{WENO}`  **Length:** 1
   ================  ================================  =============
   
For further discretization parameters, see also :ref:`flux_restruction_methods`, and :ref:`non_consistency_solver_parameters`.