Foam::constant::mathematical Namespace Reference

mathematical constants. More...

Functions
const scalar	e (M_E)
const scalar	pi (M_PI)
const scalar	twoPi (2 *pi)
const scalar	piByTwo (0.5 *pi)
const scalar	Eu (0.57721566490153286060651209)
	Euler's constant. More...

Variables
static const char *const	group = "mathematical"

Detailed Description

mathematical constants.

Function Documentation

e()

const scalar Foam::constant::mathematical::e

(

M_E

)

Referenced by Foam::calcQE11(), Foam::invIncGammaRatio_P(), nutkRoughWallFunctionFvPatchScalarField::nut(), Foam::Sn(), and nutURoughWallFunctionFvPatchScalarField::yPlus().

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pi()

const scalar Foam::constant::mathematical::pi

(

M_PI

)

Referenced by fractal::addDrift(), LehrMilliesMewes::addToBinaryBreakupRate(), AdachiStuartFokkink::addToCoalescenceRate(), LehrMilliesMewesCoalescence::addToCoalescenceRate(), LiaoCoalescence::addToCoalescenceRate(), Luo::addToCoalescenceRate(), PrinceBlanch::addToCoalescenceRate(), reactionDriven::addToNucleationRate(), polygonTriangulate::angle(), standardNormal::approxErf(), standardNormal::approxErfInv(), face::area(), face::areaAndCentre(), face::areaAndCentreStabilised(), MomentumParcel< ParcelType >::areaS(), face::average(), Foam::meshCheck::boundaryFaceSkewness(), ReactingMultiphaseParcel< ParcelType >::calc(), ReactingParcel< ParcelType >::calc(), targetCoeffTrim::calcCoeffs(), BrownianMotionForce< CloudType >::calcCoupled(), multiValveEngine::movingObject::calcScale(), COxidationDiffusionLimitedRate< CloudType >::calculate(), COxidationHurtMitchell< CloudType >::calculate(), COxidationIntrinsicRate< CloudType >::calculate(), COxidationKineticDiffusionLimitedRate< CloudType >::calculate(), COxidationMurphyShaddix< CloudType >::calculate(), cosine::calculate(), LiquidEvaporation< CloudType >::calculate(), LiquidEvaporationBoil< CloudType >::calculate(), aerosolDrag::CdRe(), MPLICface::Cf(), LegendreMagnaudet::Cl(), ORourkeCollision< CloudType >::collide(), ORourkeCollision< CloudType >::collideParcels(), BrunDripping::correct(), dripping::correct(), homogeneousCondensation::correct(), homogeneousLiquidPhaseSeparation::correct(), kineticTheoryModel::correct(), radiativeIntensityRay::correct(), cubic< Type >::correction(), pointLinear< Type >::correction(), triSurface::curvature(), propellerDisk::diskThickness(), triSurfaceMesh::extractPointCloseness(), Foam::meshCheck::faceSkewness(), faceCorrectedSnGrad< Type >::fullGradCorrection(), if(), Foam::incGammaRatio_Q(), FreeStream< CloudType >::inflow(), halfCosineRamp::integral(), surfaceInterpolationScheme< scalar >::interpolate(), JohnsonJackson::JohnsonJackson(), JohnsonJacksonSchaeffer::JohnsonJacksonSchaeffer(), AiryCoeffs::k(), wallBoilingHeatTransfer::K(), Gidaspow::kappa(), HrenyaSinclair::kappa(), Syamlal::kappa(), Foam::kShellIntegration(), cosine::limiter(), DSMCCloud< ParcelType >::maxwellianAverageSpeed(), homogeneousCondensation::nDot(), homogeneousLiquidPhaseSeparation::nDot(), polygonTriangulate::nIntersections(), Gidaspow::nu(), HrenyaSinclair::nu(), Syamlal::nu(), sixDoFRigidBodyMotion::omega(), equilibrium::oneByTau(), isotropic::oneByTau(), nonEquilibrium::oneByTau(), Foam::operator<<(), PairSpringSliderDashpot< CloudType >::overlapArea(), standardNormal::PDF(), IATEsource::phi(), BrownianCollisions::precompute(), ParticleErosion< CloudType >::preFace(), polygonTriangulate::randomPolygon(), JohnsonJackson::read(), JohnsonJacksonSchaeffer::read(), Schaeffer::read(), timeControl::read(), molecule::readFields(), refinementSurfaces::refinementSurfaces(), Schaeffer::Schaeffer(), Kusters::setBreakupRate(), CloudFilmTransfer< CloudType >::setParcelProperties(), ConeInjection< CloudType >::setProperties(), DSMCParcel< ParcelType >::constantProperties::sigmaT(), LarsenBorgnakkeVariableHardSphere< CloudType >::sigmaTcR(), VariableHardSphere< CloudType >::sigmaTcR(), sixDoFRigidBodyMotionSolver::sixDoFRigidBodyMotionSolver(), CrankNicolson::solve(), Newmark::solve(), symplectic::solve(), nucleationSizeGroupFvScalarFieldSource::sourceValue(), CloudFilmTransfer< CloudType >::splashDirection(), CloudFilmTransfer< CloudType >::splashInteraction(), XiFluid::StCorr(), face::sweptVol(), oscillatingRotatingMotion::transformation(), SDA::transformation(), sixDoFMotion::transformation(), multiValveEngine::movingObject::transformPoints(), ReitzKHRT< CloudType >::update(), SHF< CloudType >::update(), BlobsSheetAtomisation< CloudType >::update(), LISAAtomisation< CloudType >::update(), JohnsonJacksonParticleSlipFvPatchVectorField::updateCoeffs(), JohnsonJacksonParticleThetaFvPatchScalarField::updateCoeffs(), greyDiffusiveRadiationMixedFvPatchScalarField::updateCoeffs(), wideBandDiffusiveRadiationMixedFvPatchScalarField::updateCoeffs(), halfCosineRamp::value(), Foam::vertices(), MomentumParcel< ParcelType >::volume(), CloudFilmTransfer< CloudType >::wetSplashInteraction(), wideBandDiffusiveRadiationMixedFvPatchScalarField::wideBandDiffusiveRadiationMixedFvPatchScalarField(), regionSizeDistribution::write(), UniformTable< scalar >::write(), molecule::writeFields(), and PengRobinsonGas< Specie >::Z().

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twoPi()

const scalar Foam::constant::mathematical::twoPi

(

2 *

pi

)

Referenced by BrownianMotionForce< CloudType >::calcCoupled(), rotorDisk::calculate(), SaffmanMei::Cl(), LarsenBorgnakkeVariableHardSphere< CloudType >::collide(), VariableHardSphere< CloudType >::collide(), fluxLimitedLangmuirHinshelwoodReactionRate::ddT(), JONSWAP::fFraction(), PiersonMoskowitz::fFraction(), noiseFFT::Hanning(), Sine< Type >::integral(), PiersonMoskowitz::integralS(), irregular::irregular(), Kmesh::Kmesh(), fluxLimitedLangmuirHinshelwoodReactionRate::operator()(), JONSWAP::S(), PiersonMoskowitz::S(), ConeInjection< CloudType >::setPositionAndCell(), ConeInjection< CloudType >::setProperties(), CloudFilmTransfer< CloudType >::splashDirection(), SDA::transformation(), turbGen::U(), inkJet::update(), StochasticDispersionRAS< CloudType >::update(), ETAB< CloudType >::update(), ReitzKHRT< CloudType >::update(), SHF< CloudType >::update(), TAB< CloudType >::update(), and Sine< Type >::value().

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piByTwo()

const scalar Foam::constant::mathematical::piByTwo

(

0.5 *

pi

)

Referenced by quarterCosineRamp::integral(), quarterSineRamp::integral(), sine::limiter(), SDA::transformation(), smoluchowskiJumpTFvPatchScalarField::updateCoeffs(), maxwellSlipUFvPatchVectorField::updateCoeffs(), quarterCosineRamp::value(), and quarterSineRamp::value().

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Eu()

const scalar Foam::constant::mathematical::Eu

(

0.

57721566490153286060651209

)

Euler's constant.

Referenced by Foam::invIncGammaRatio_P().

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Variable Documentation

group

const char* const group = "mathematical"

static

Definition at line 48 of file mathematicalConstants.H.