1p

Single-phase (immiscible) flow. More...

Description

A one-phase-flow, isothermal pore-network model using the fully implicit scheme.

A mass balance equation is formulated for each pore body $i$:

$$V_i\frac{\partial ({\varrho }_i)}{\partial t}+\sum _j(\varrho Q{)}_{ij}=(Vq{)}_i.$$

$V_i$ is the pore body volume, and the advective mass flow $(\varrho Q{)}_{ij}$ through throat $ij$ can be based on the fluid phase density $\varrho$ either of the upstream pore body $i$ or $j$ (upwinding) or on the respective averaged value. $q_i$ is a mass sink or source term defined on pore body $i$.

Per default, the volume flow rate $Q_{ij}$ follows a linear Hagen-Poiseuille-type law (PoreNetworkModel::CreepingFlow) which is only valid for $Re<1$:

$$Q_{ij}=g_{ij}(p_i-p_j+\mathrm{\Psi }).$$

$g_{ij}$ is a suitable throat conductance value (see e.g. PoreNetwork::TransmissibilityPatzekSilin) while $p_i$ and $p_j$ are averaged pore body pressures.

The (optional) influence of gravity is given by

$$\mathrm{\Psi }=\varrho \mathbf{g}({\mathbf{x}}_{\mathbf{i}}-{\mathbf{x}}_{\mathbf{j}}),$$

where ${\mathbf{x}}_{\mathbf{i}}-{\mathbf{x}}_{\mathbf{j}}$ is the distance vector between the centers of pore bodies $i$ and $j$ and $\mathbf{g}$ is the gravitational acceleration.

Files
file	porenetwork/1p/fluxvariablescache.hh
file	porenetwork/1p/iofields.hh
file	porenetwork/1p/model.hh
	A one-phase-flow, isothermal pore-network model using the fully implicit scheme.
file	porenetwork/1p/spatialparams.hh
	The spatial parameters for single-phase pore-network models.
file	porenetwork/1p/volumevariables.hh

Classes
class	Dumux::PoreNetwork::OnePFluxVariablesCache< AdvectionType >
	Flux variables cache for the single-phase-flow PNM Store data required for flux calculation. More...
class	Dumux::PoreNetwork::OnePIOFields
	Adds output fields specific to the PNM 1p model. More...
class	Dumux::PoreNetwork::OnePSpatialParams< GridGeometry, Scalar, Implementation >
	The base class for spatial parameters for single-phase pore-network models. More...
class	Dumux::PoreNetwork::OnePDefaultSpatialParams< GridGeometry, Scalar >
	The default class for spatial parameters for single-phase pore-network models. More...
class	Dumux::PoreNetwork::OnePVolumeVariables< Traits >
	Contains the quantities which are constant within a finite volume (the pore body) in the one-phase model. More...