Dumux::ShallowWater Namespace Reference

Classes
struct	RiemannSolution

Functions
template<class Scalar >
RiemannSolution< Scalar >	exactRiemann (const Scalar dl, const Scalar dr, const Scalar ul, const Scalar ur, const Scalar vl, const Scalar vr, const Scalar grav, const Scalar s=0.0)
	Exact Riemann solver for the shallow water equations. More...
template<class Scalar >
static Scalar	fluxLimiterLET (const Scalar valueLeft, const Scalar valueRight, const Scalar upperH, const Scalar lowerH)
	Flux limiter function to scale fluxes for small water depths. More...
template<class Scalar , class GlobalPosition >
std::array< Scalar, 3 >	riemannProblem (const Scalar waterDepthLeft, const Scalar waterDepthRight, Scalar velocityXLeft, Scalar velocityXRight, Scalar velocityYLeft, Scalar velocityYRight, const Scalar bedSurfaceLeft, const Scalar bedSurfaceRight, const Scalar gravity, const GlobalPosition &nxy)
	Construct a Riemann problem and solve it. More...
template<class Scalar , class GlobalPosition >
std::array< Scalar, 3 >	fixedWaterDepthBoundary (const Scalar waterDepthBoundary, const Scalar waterDepthInside, const Scalar velocityXInside, const Scalar velocityYInside, const Scalar gravity, const GlobalPosition &nxy)
	Compute the outer cell state for fixed water depth boundary. More...
template<class Scalar , class GlobalPosition >
std::array< Scalar, 3 >	fixedDischargeBoundary (const Scalar dischargeBoundary, const Scalar waterDepthInside, const Scalar velocityXInside, const Scalar velocityYInside, const Scalar gravity, const GlobalPosition &nxy)
	Compute the outer cell state for a fixed discharge boundary. More...
template<class PrimaryVariables , class Scalar , class GlobalPosition >
std::array< Scalar, 3 >	noslipWallBoundary (const Scalar alphaWall, const Scalar turbulentViscosity, const PrimaryVariables &state, const GlobalPosition &cellCenterToBoundaryFaceCenter, const GlobalPosition &unitNormal)
	Compute the viscosity/diffusive flux at a rough wall boundary using no-slip formulation. More...
template<class PrimaryVariables , class Scalar , class GlobalPosition >
std::array< Scalar, 3 >	nikuradseWallBoundary (const Scalar ksWall, const PrimaryVariables &state, const GlobalPosition &cellCenterToBoundaryFaceCenter, const GlobalPosition &unitNormal)
	Compute the viscosity/diffusive flux at a rough wall boundary using Nikuradse formulation. More...

Function Documentation

fixedDischargeBoundary()

template<class Scalar , class GlobalPosition >

std::array< Scalar, 3 > Dumux::ShallowWater::fixedDischargeBoundary	(	const Scalar	dischargeBoundary,
		const Scalar	waterDepthInside,
		const Scalar	velocityXInside,
		const Scalar	velocityYInside,
		const Scalar	gravity,
		const GlobalPosition &	nxy
	)

Compute the outer cell state for a fixed discharge boundary.

Parameters

dischargeBoundary	Discharge per meter at the boundary face [m^2/s]
waterDepthInside	Water depth in the inner cell [m]
velocityXInside	Velocity in x-direction in the inner cell [m/s]
velocityYInside	Velocity in y-direction in the inner cell [m/s]
gravity	Gravity constant [m/s^2]
nxy	Normal vector of the boundary face

Returns

cellStateOutside The outer cell state

fixedWaterDepthBoundary()

template<class Scalar , class GlobalPosition >

std::array< Scalar, 3 > Dumux::ShallowWater::fixedWaterDepthBoundary	(	const Scalar	waterDepthBoundary,
		const Scalar	waterDepthInside,
		const Scalar	velocityXInside,
		const Scalar	velocityYInside,
		const Scalar	gravity,
		const GlobalPosition &	nxy
	)

Compute the outer cell state for fixed water depth boundary.

Parameters

waterDepthBoundary	Water depth at the boundary face [m^2/s]
waterDepthInside	Water depth in the inner cell [m]
velocityXInside	Velocity in x-direction in the inner cell [m/s]
velocityYInside	Velocity in y-direction in the inner cell [m/s]
gravity	Gravity constant [m/s^2]
nxy	Normal vector of the boundary face

Returns

cellStateOutside The outer cell state

nikuradseWallBoundary()

template<class PrimaryVariables , class Scalar , class GlobalPosition >

std::array< Scalar, 3 > Dumux::ShallowWater::nikuradseWallBoundary	(	const Scalar	ksWall,
		const PrimaryVariables &	state,
		const GlobalPosition &	cellCenterToBoundaryFaceCenter,
		const GlobalPosition &	unitNormal
	)

Compute the viscosity/diffusive flux at a rough wall boundary using Nikuradse formulation.

Parameters

ksWall	Nikuradse roughness height for the wall [m]
state	the primary variable state (water depth, velocities)
cellCenterToBoundaryFaceCenter	Cell-center to boundary distance
unitNormal	Normal vector of the boundary face

noslipWallBoundary()

template<class PrimaryVariables , class Scalar , class GlobalPosition >

std::array< Scalar, 3 > Dumux::ShallowWater::noslipWallBoundary	(	const Scalar	alphaWall,
		const Scalar	turbulentViscosity,
		const PrimaryVariables &	state,
		const GlobalPosition &	cellCenterToBoundaryFaceCenter,
		const GlobalPosition &	unitNormal
	)

Compute the viscosity/diffusive flux at a rough wall boundary using no-slip formulation.

Parameters

alphaWall	Roughness parameter: alphaWall=0.0 means full slip, alphaWall=1.0 means no slip, \(0.0<\text{alphaWall}<1.0\) means partial slip [-]
turbulentViscosity	Turbulent viscosity [m^2/s]
state	Primary variables (water depth, velocities)
cellCenterToBoundaryFaceCenter	Cell-center to boundary distance
unitNormal	Normal vector of the boundary face