Provides the auxiliary methods required for consideration of the dispersion equation. More...

#include <blackoildispersionmodule.hh>

Public Types
using	ExtensiveQuantities = BlackOilDispersionExtensiveQuantities<TypeTag,true>

Static Public Member Functions
template<class Context>
static void	addDispersiveFlux (RateVector &flux, const Context &context, unsigned spaceIdx, unsigned timeIdx)
	Adds the mass flux due to dispersion to the flux vector over the flux integration point.
template<class IntensiveQuantities, class Scalar>
static void	addDispersiveFlux (RateVector &flux, const IntensiveQuantities &inIq, const IntensiveQuantities &exIq, const Evaluation &dispersivity, const Scalar &normVelocityAvg)
	Adds the mass flux due to dispersion to the flux vector over the integration point.

Detailed Description

template<class TypeTag>
class Opm::BlackOilDispersionModule< TypeTag, true >

Provides the auxiliary methods required for consideration of the dispersion equation.

Member Function Documentation

◆ addDispersiveFlux()

template<class TypeTag>

template<class IntensiveQuantities, class Scalar>

void Opm::BlackOilDispersionModule< TypeTag, true >::addDispersiveFlux	(	RateVector &	flux,
		const IntensiveQuantities &	inIq,
		const IntensiveQuantities &	exIq,
		const Evaluation &	dispersivity,
		const Scalar &	normVelocityAvg )

inlinestatic

Adds the mass flux due to dispersion to the flux vector over the integration point.

Following the notation in blackoilmodel.hh, the dispersive flux for component $\kappa$ in phase $\alpha$ is given by: $-b_\alpha E||\mathrm{v}_\alpha||\mathbf{grad}X_\alpha^\kappa$ , where $b_\alpha$ is the shrinkage/expansion factor [-], E is the isotropic dispersivity coefficient [L], $\mathrm{v}_\alpha$ is the filter velocity [L/T], and $X_\alpha^\kappa$ the component mass fraction [-]. Each component mass fraction can be computed using $R_s,\;R_v,\;R_{sw},\;R_{vw}$ . For example, $X_w^G=\frac{R_{sw}}{R_{sw}+\rho_w/\rho_g}$ , where $\rho_w$ and $\rho_g$ are the reference densities. Following the implementation of the diffusive flux (blackoildiffusionmodule.hh) and considering the case for the water phase and gas component as an example, for cells i and j, the discrete version of the dispersive flux at the face's integration point is given by $-b_{w,ij}v_{w,ij}(\frac{1}{R_{sw,ij}+\rho_w/\rho_g})D_{ij}(R_{sw,i}-R_{sw,j})$ where $b_{w,ij}$ , $v_{w,ij}$ , and $R_{sw,ij}$ are computed using the arithmetic mean, and the ratio $\frac{1}{R_{sw,ij}+\rho_w/\rho_g}$ is denoted as conversion factor. The dispersivity $D_{ij}$ is computed in ecltransmissibility_impl.hh, using the dispersion coefficients $E_i$ and $E_j$ .