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|   | EBAdvectPatchIntegrator (const Box &a_validBox, const EBISBox &a_ebisBox, const IntVectSet &a_coarseFineIVS, const ProblemDomain &a_domain, const RealVect &a_dx, bool a_useSlopeLimiting) | 
|   | boundary condions are set via setEBPhysIBC  More...
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| virtual  | ~EBAdvectPatchIntegrator () | 
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| void  | extrapolatePrim (EBFluxFAB &a_flux, Vector< BaseIVFAB< Real > * > &a_coveredFluxMinu, Vector< BaseIVFAB< Real > * > &a_coveredFluxPlus, const Vector< IntVectSet > &a_coveredSetsMinu, const Vector< IntVectSet > &a_coveredSetsPlus, const Vector< Vector< VolIndex > > &a_coveredFaceMinu, const Vector< Vector< VolIndex > > &a_coveredFacePlus, const EBCellFAB &a_consState, const EBCellFAB &a_source, const DataIndex &a_dit, const Real &a_time, const Real &a_dt) | 
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| void  | advectiveDerivative (EBCellFAB &a_uDotDelRho, const EBFluxFAB &a_faceRho, const EBFluxFAB &a_faceVel, const Vector< BaseIVFAB< Real > *> &a_coveredRhoLo, const Vector< BaseIVFAB< Real > *> &a_coveredRhoHi, const Vector< BaseIVFAB< Real > *> &a_coveredVelLo, const Vector< BaseIVFAB< Real > *> &a_coveredVelHi, const Vector< Vector< VolIndex > > &a_coveredFaceLo, const Vector< Vector< VolIndex > > &a_coveredFaceHi, const Box &a_box) | 
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| void  | advectiveDerivative (EBCellFAB &a_uDotDelRho, const EBFluxFAB &a_faceRho, const EBFluxFAB &a_faceVel, const Box &a_box) | 
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| void  | setEBPhysIBC (const EBPhysIBCFactory &a_bc) | 
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| void  | setVelocities (const EBCellFAB &a_normalVel, const EBFluxFAB &a_advectionVel) | 
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| void  | consUndividedDivergence (BaseIVFAB< Real > &a_divF, const BaseIFFAB< Real > a_centroidFlux[SpaceDim], const IntVectSet &a_ivs) | 
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| void  | consUndividedDivergence (BaseIVFAB< Real > &a_divF, const BaseIFFAB< Real > a_centroidFlux[SpaceDim], const BaseIVFAB< Real > &a_ebIrregFlux, const IntVectSet &a_ivs) | 
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| void  | interpolateFluxToCentroids (BaseIFFAB< Real > a_centroidFlux[SpaceDim], const BaseIFFAB< Real > *const a_fluxInterpolant[SpaceDim], const IntVectSet &a_irregIVS) | 
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| void  | averageVelToCC (EBCellFAB &a_normalVel, const EBFluxFAB &a_advectionVel, const Vector< BaseIVFAB< Real > * > &a_coveredVeloLo, const Vector< BaseIVFAB< Real > * > &a_coveredVeloHi, const Vector< Vector< VolIndex > > &a_coveredFaceLo, const Vector< Vector< VolIndex > > &a_coveredFaceHi, const Box &a_box) const | 
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| void  | extrapolateBCG (EBFluxFAB &a_flux, const EBCellFAB &a_consState, const EBCellFAB &a_source, const DataIndex &a_dit, const Real &a_time, const Real &a_dt) | 
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| void  | mvExtrapolateBCG (EBFluxFAB &a_flux, const EBCellFAB &a_consState, const EBFluxFAB &a_advectionVel, const EBCellFAB &a_normalVel, const EBCellFAB &a_source, const Vector< RefCountedPtr< EBPhysIBCFactory > > &a_allAdvectBC, const DataIndex &a_dit, const Real &a_time, const Real &a_dt, const int &a_doingVel) | 
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| void  | kappaDivergenceFlux (EBCellFAB &a_kappaDivF, const EBFluxFAB &a_centroidFlux, const Box &a_validBox) | 
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| void  | extrapToCoveredFaces (BaseIVFAB< Real > &a_extendedPrim, const EBFaceFAB &a_primFace, const EBCellFAB &a_primState, const Vector< VolIndex > &a_coveredFaces, const int &a_faceDir, const Side::LoHiSide &a_sd, const Box &a_box) | 
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| void  | setMaxMin (const Real &a_maxVal, const Real &a_minVal) | 
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|   | EBAdvectPatchIntegrator () | 
|   | weak construction is bad.  More...
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| void  | extrapolatePrim3D (EBCellFAB a_primMinu[SpaceDim], EBCellFAB a_primPlus[SpaceDim], const EBCellFAB &a_consState, const EBCellFAB &a_source, const DataIndex &a_dit, const Real &a_time, const Real &a_dt) | 
|   | internal functions (all the madness below probably needs to get cleaned up)  More...
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| void  | extrapolateBCG (EBCellFAB a_primMinu[SpaceDim], EBCellFAB a_primPlus[SpaceDim], const EBCellFAB &a_consState, const EBCellFAB &a_source, const DataIndex &a_dit, const Real &a_time, const Real &a_dt) | 
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| void  | extrapolatePrim2D (EBCellFAB a_primMinu[SpaceDim], EBCellFAB a_primPlus[SpaceDim], const EBCellFAB &a_consState, const EBCellFAB &a_source, const DataIndex &a_dit, const Real &a_time, const Real &a_dt) | 
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| void  | riemann (BaseIVFAB< Real > &a_coveredPrim, const BaseIVFAB< Real > &a_exteState, const EBCellFAB &a_primState, const Vector< VolIndex > &a_vofset, const int &a_faceDir, const Side::LoHiSide &a_sd, const Box &a_box) | 
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| void  | riemann (EBFaceFAB &a_primGdnv, const EBCellFAB &a_primLeft, const EBCellFAB &a_primRigh, const int &a_faceDir, const Box &a_box) | 
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| FaceStencil  | getInterpStencil (const FaceIndex &a_face) const | 
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| void  | pointExtrapToCovered2D (Vector< Real > &a_extrapVal, const EBFaceFAB &a_primFace, const EBCellFAB &a_primState, const int &a_faceDir, const VolIndex &a_vof, const RealVect &a_normal, const Side::LoHiSide &a_sd, const int &a_numPrim) | 
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| void  | pointExtrapToCovered3D (Vector< Real > &a_extrapVal, const EBFaceFAB &a_primFace, const EBCellFAB &a_primState, const int &a_faceDir, const VolIndex &a_vof, const RealVect &a_normal, const Side::LoHiSide &a_sd, const int &a_numPrim) | 
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| void  | extrapToCoveredFaces (BaseIVFAB< Real > &a_extendedPrim, const EBCellFAB &a_primMinu, const EBCellFAB &a_primPlus, const EBCellFAB &a_primState, const Vector< VolIndex > &a_coveredFaces, const int &a_faceDir, const Side::LoHiSide &a_sd, const Box &a_box) | 
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| void  | pointExtrapToCovered2D (Vector< Real > &a_extrapVal, const EBCellFAB &a_primMinu, const EBCellFAB &a_primPlus, const EBCellFAB &a_primState, const int &a_faceDir, const VolIndex &a_vof, const RealVect &a_normal, const Side::LoHiSide &a_sd, const int &a_numPrim) | 
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| void  | pointExtrapToCovered3D (Vector< Real > &a_extrapVal, const EBCellFAB &a_primMinu, const EBCellFAB &a_primPlus, const EBCellFAB &a_primState, const int &a_faceDir, const VolIndex &a_vof, const RealVect &a_normal, const Side::LoHiSide &a_sd, const int &a_numPrim) | 
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| void  | floorPrimitives (EBCellFAB &a_primState, const Box &a_box) | 
|   | floors if m_isMaxMinSet  More...
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| void  | floorPrimitives (BaseIVFAB< Real > &a_primState, const IntVectSet &a_set) | 
|   | floors if m_isMaxMinSet  More...
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| void  | coveredExtrapSlopes (Real &a_dq, const VolIndex &a_vof, const EBCellFAB &a_primState, const int &a_dir, const int &a_ivar) | 
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| void  | pointGetSlopes (Real &a_dql, Real &a_dqr, Real &a_dqc, bool &a_hasFacesLeft, bool &a_hasFacesRigh, const VolIndex &a_vof, const EBCellFAB &a_primState, const int &a_dir, const int &a_ivar, const bool &a_verbose) | 
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| Real  | bilinearFunc (const Real a_WVal[2][2], const Real &a_xd1, const Real &a_xd2) | 
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| void  | pointGetSlopesUpwind (Real &a_dql, Real &a_dqr, Real &a_dqc, bool &a_hasFacesLeft, bool &a_hasFacesRigh, const VolIndex &a_vof, const EBCellFAB &a_primState, const int &a_dir, const int &a_ivar, const bool &a_verbose) | 
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| void  | doNormalDerivativeExtr2D (EBCellFAB a_primMinu[SpaceDim], EBCellFAB a_primPlus[SpaceDim], EBFaceFAB a_fluxOne[SpaceDim], BaseIVFAB< Real > a_coveredFluxNormMinu[SpaceDim], BaseIVFAB< Real > a_coveredFluxNormPlus[SpaceDim], Vector< VolIndex > a_coveredFaceNormMinu[SpaceDim], Vector< VolIndex > a_coveredFaceNormPlus[SpaceDim], const EBCellFAB &a_primState, const EBCellFAB &a_source, const DataIndex &a_dit, const Real &a_time, const Real &a_dt) | 
|   | and this is the simplified version  More...
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| void  | slope (EBCellFAB &a_slopePrim, const EBCellFAB &a_primState, const int &a_dir, const Box &a_box) | 
|   | options for 4th ordeer slopes and flattening removed  More...
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| void  | finalExtrap2D (EBCellFAB a_primMinu[SpaceDim], EBCellFAB a_primPlus[SpaceDim], const BaseIVFAB< Real > a_coveredFluxNormMinu[SpaceDim], const BaseIVFAB< Real > a_coveredFluxNormPlus[SpaceDim], const Vector< VolIndex > a_coveredFaceNormMinu[SpaceDim], const Vector< VolIndex > a_coveredFaceNormPlus[SpaceDim], const EBFaceFAB a_fluxOne[SpaceDim], const EBCellFAB &a_primState, const Real &a_time, const Real &a_dt) | 
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| void  | finalExtrap3D (EBCellFAB a_primMinu[SpaceDim], EBCellFAB a_primPlus[SpaceDim], const BaseIVFAB< Real > a_coveredFluxMinu3D[SpaceDim][SpaceDim], const BaseIVFAB< Real > a_coveredFluxPlus3D[SpaceDim][SpaceDim], const EBFaceFAB a_fluxTwo[SpaceDim][SpaceDim], const EBCellFAB &a_primState, const Real &a_time, const Real &a_dt) | 
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| void  | do111coupling (EBFaceFAB a_fluxTwo[SpaceDim][SpaceDim], BaseIVFAB< Real > a_coveredFluxMinu3D[SpaceDim][SpaceDim], BaseIVFAB< Real > a_coveredFluxPlus3D[SpaceDim][SpaceDim], const EBCellFAB a_primMinu[SpaceDim], const EBCellFAB a_primPlus[SpaceDim], const BaseIVFAB< Real > a_coveredFluxNormMinu[SpaceDim], const BaseIVFAB< Real > a_coveredFluxNormPlus[SpaceDim], const Vector< VolIndex > a_coveredFaceNormMinu[SpaceDim], const Vector< VolIndex > a_coveredFaceNormPlus[SpaceDim], const EBFaceFAB a_fluxOne[SpaceDim], const EBCellFAB &a_primState, const DataIndex &a_dit, const Real &a_time, const Real &a_dt) | 
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| void  | doNormalDerivativeExtr3D (EBCellFAB a_primMinu[SpaceDim], EBCellFAB a_primPlus[SpaceDim], EBFaceFAB a_fluxOne[SpaceDim], BaseIVFAB< Real > a_coveredFluxNormMinu[SpaceDim], BaseIVFAB< Real > a_coveredFluxNormPlus[SpaceDim], Vector< VolIndex > a_coveredFaceNormMinu[SpaceDim], Vector< VolIndex > a_coveredFaceNormPlus[SpaceDim], const EBCellFAB &a_primState, const EBCellFAB &a_source, const DataIndex &a_dit, const Real &a_time, const Real &a_dt) | 
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| void  | normalPred (EBCellFAB &a_primLo, EBCellFAB &a_primHi, const EBCellFAB &a_primState, const EBCellFAB &a_slopePrim, const Real &a_scale, const int &a_dir, const Box &a_box) | 
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| void  | incrementWithSource (EBCellFAB &a_primState, const EBCellFAB &a_source, const Real &a_scale, const Box &a_box) | 
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| void  | updatePrim (EBCellFAB &a_primMinu, EBCellFAB &a_primPlus, const EBFaceFAB &a_primFace, const BaseIVFAB< Real > &a_coveredPrimMinu, const BaseIVFAB< Real > &a_coveredPrimPlus, const Vector< VolIndex > &a_coveredFaceMinu, const Vector< VolIndex > &a_coveredFacePlus, const int &a_faceDir, const Box &a_box, const Real &a_scale) | 
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| void  | upwindSlope (EBCellFAB &a_slopeUpWi, const EBCellFAB &a_primState, const int &a_dir, const Box &a_box) | 
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| void  | transversePred (EBCellFAB &a_rhoLo, EBCellFAB &a_rhoHi, const EBCellFAB &a_rho, const EBCellFAB &a_dRho, const Real &a_dtbydx, const int &a_dir, const Box &a_box) | 
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This does the same as EBPatchAdvect but presumably with less memory footprint. and with a somewhat more sane interface.
I have pared down the EBPatchGodunov interface and tried to optimize for minimal memory without completely destroying performance.