porousmediumflow/tracer/model.hh File Reference

Adaption of the fully implicit scheme to the tracer transport model. More...

#include <dumux/common/properties.hh>
#include <dumux/flux/stationaryvelocityfield.hh>
#include <dumux/material/fluidmatrixinteractions/diffusivityconstanttortuosity.hh>
#include <dumux/porousmediumflow/properties.hh>
#include "indices.hh"
#include "volumevariables.hh"
#include "iofields.hh"
#include "localresidual.hh"

Go to the source code of this file.

Description

This model implements a transport of a tracer, where density and viscosity of the fluid phase in which the tracer gets transported are not affected by the tracer. The velocity field is a given spatial parameter. The model is mainly useful for fast computations on given or precomputed velocity fields and thus generally makes sense only in combination with an incompressible one-phase flow velocity field or analytically given / artificial fields. However, reactions between multiple tracer components can be implemented.

The transport of the components \(\kappa \in \{ a, b, c, ... \}\) is described by the following equation:

\[ \frac{ \partial (\phi \varrho X^\kappa)}{\partial t} + \nabla \cdot \left\lbrace \varrho X^\kappa {\textbf v_f} - \varrho D^\kappa_\text{pm} \nabla X^\kappa \right\rbrace = q, \]

where:

• \( \phi \) is the porosity of the porous medium,
• \( \varrho \) is the mass density,
• \( X^\kappa \) is the mass fraction of component \( \kappa \),
• \( \textbf{v}_f \) is the velocity of the fluid,
• \( {\bf D_{pm}^\kappa} \) is the effective diffusivity in the porous medium,
• \( q \) is a source or sink term.

The model is able to use either mole or mass fractions. The property useMoles can be set to either true or false in the problem file. Make sure that the according units are used in the problem setup. useMoles is set to true by default.

The primary variables the mole or mass fraction of dissolved components \(x\). Note that the tracer model is always considered non-isothermal. The velocity output is fully compatible with the tracer model if you want to write the velocity field to vtk.

Classes
struct	Dumux::TracerModelTraits< nComp, useMol, enableCompDisp, CDM >
	Specifies a number properties of the Richards n-components model. More...
struct	Dumux::TracerVolumeVariablesTraits< PV, FSY, SSY, SST, MT, DT, EDM >
	Traits class for the volume variables of the single-phase model. More...
struct	Dumux::Properties::TTag::Tracer
struct	Dumux::Properties::UseMoles< TypeTag, TTag::Tracer >
	Define that mole fractions are used in the balance equations. More...
struct	Dumux::Properties::ModelTraits< TypeTag, TTag::Tracer >
	set the model traits More...
struct	Dumux::Properties::LocalResidual< TypeTag, TTag::Tracer >
	Use the tracer local residual function for the tracer model. More...
struct	Dumux::Properties::IOFields< TypeTag, TTag::Tracer >
	Set the vtk output fields specific to this model. More...
struct	Dumux::Properties::VolumeVariables< TypeTag, TTag::Tracer >
	Set the volume variables property. More...
struct	Dumux::Properties::AdvectionType< TypeTag, TTag::Tracer >
	We use darcy's law as the default for the advective fluxes. More...
struct	Dumux::Properties::EffectiveDiffusivityModel< TypeTag, TTag::Tracer >
	Use simple model with constant tortuosity as pm diffusivity model. More...

Namespaces
namespace	Dumux
namespace	Dumux::Properties
	The energy balance equation for a porous solid.
namespace	Dumux::Properties::TTag
	Type tag for numeric models.

Include dependency graph for porousmediumflow/tracer/model.hh: