LEADER 01259nam 2200325Ia 450 001 996396830803316 005 20221102113403.0 035 $a(CKB)4330000000354854 035 $a(EEBO)2240973927 035 $a(OCoLC)12268980 035 $a(EXLCZ)994330000000354854 100 $a19850716d1670 uy | 101 0 $aeng 135 $aurbn||||a|bb| 200 02$aA Word to sinners and a word to saints$b[electronic resource] $ethe wormer tending to the awakening the consciences of secure sinners unto a lively sense and apprehension of the dreadful condition they are in, so long as they live in their natural and unregenerate state : the latter tending to the directing and perswading of the godly and regenerate unto several singular duties 210 $aLondon $cPrinted for John Wright ...$d1670 215 $a103 p 300 $aReproduction of original in the Cambridge University Library. 330 $aeebo-0021 606 $aSalvation$vEarly works to 1800 606 $aTheology, Doctrinal 615 0$aSalvation 615 0$aTheology, Doctrinal. 801 0$bEAI 801 1$bEAI 801 2$bWaOLN 906 $aBOOK 912 $a996396830803316 996 $aA Word to sinners and a word to saints$92334685 997 $aUNISA LEADER 01148nam a2200325 i 4500 001 991000915569707536 005 20020507175800.0 008 990303s1998 de ||| | eng 020 $a3540644954 035 $ab10775213-39ule_inst 035 $aLE01304259$9ExL 040 $aDip.to Matematica$beng 082 0 $a515.7 084 $aAMS 46-06 084 $aAMS 90-06 100 1 $aAbramovich, Y. A.$0535445 245 10$aFunctional analysis and economic theory /$cY. Abramovich, E. Avgerinos, N. C. Yannelis (eds.) 260 $aBerlin :$bSpringer-Verlag,$cc1998 300 $aviii, 296 p. :$bill. ;$c24 cm. 500 $aIncludes bibliographical references 650 4$aFunctional analysis 650 4$aMathematical economics 700 1 $aAvgerinos, E. 700 1 $aYannelis, Nicholas C. 907 $a.b10775213$b21-09-06$c28-06-02 912 $a991000915569707536 945 $aLE013 46-XX ABR11 (1998)$g1$i2013000115764$lle013$o-$pE0.00$q-$rl$s- $t0$u1$v1$w1$x0$y.i10874069$z28-06-02 996 $aFunctional analysis and economic theory$9922882 997 $aUNISALENTO 998 $ale013$b01-01-99$cm$da $e-$feng$gde $h0$i1 LEADER 05457nam 2200493 450 001 996495164603316 005 20231110212122.0 010 $a3-031-09265-1 035 $a(MiAaPQ)EBC7107673 035 $a(Au-PeEL)EBL7107673 035 $a(CKB)24995914000041 035 $a(PPN)26585671X 035 $a(EXLCZ)9924995914000041 100 $a20230302d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSmall scale modeling and simulation of incompressible turbulent multi-phase flow /$fSte?phane Vincent, Jean-Luc Estivale?zes, and Ruben Scardovelli 210 1$aCham, Switzerland :$cSpringer,$d[2022] 210 4$d©2022 215 $a1 online resource (314 pages) 225 1 $aCISM International Centre for Mechanical Sciences ;$vv.607 311 08$aPrint version: Vincent, Stéphane Small Scale Modeling and Simulation of Incompressible Turbulent Multi-Phase Flow Cham : Springer International Publishing AG,c2022 9783031092633 320 $aIncludes bibliographical references. 327 $aIntro -- Acknowledgements -- Collaborators -- Technical Aspects -- Financial Support -- Contents -- 1 Introduction and Motivations -- 1.1 Governing Equations for DNS of Multiphase Flows -- 1.1.1 Mass Conservation -- 1.1.2 Momentum Conservation -- 1.1.3 Fluid Assumptions -- 1.2 Interface and Jump Conditions -- 1.2.1 Surface Tension -- 1.2.2 Viscosity -- 1.3 The Final Model -- 2 DNS of Resolved Scale Interfacial and Free Surface Flows with Fictitious Domains -- 2.1 One-Fluid Model -- 2.2 General Discretization and Solvers -- 2.2.1 Pressure-Velocity Coupling and Solvers -- 2.2.2 Jump Conditions -- 2.2.3 Boundary Conditions -- 2.2.4 Poisson Pressure Solver -- 2.3 Methods for Handling Interfaces -- 2.3.1 Interface Tracking Methods -- 2.3.2 Front-Capturing (Implicit Interface) -- 2.3.3 SPH Methods -- 2.4 Capillary Effects and Jump Conditions at Interface -- 2.4.1 Ghost Fluid -- 2.4.2 Continuum Surface Force -- 2.5 Validations of Interface Tracking and Fictitious Domains -- 2.5.1 Comparison of Interface Tracking Methods -- 2.5.2 Density and Viscosity Averages -- 2.5.3 Capillary Forces -- 3 Interface Tracking -- 3.1 VOF -- 3.1.1 Introduction to VOF Methods -- 3.1.2 Initialization of the Color Function C -- 3.1.3 A Library to Initialize the Volume Fraction Field -- 3.1.4 Algebraic Methods for the Advection of the Color Function -- 3.1.5 Simple Geometric Methods for the Advection of the Color Function -- 3.1.6 VOF-PLIC Methods: Interface Reconstruction -- 3.1.7 VOF-PLIC Methods: Interface Advection -- 3.2 Level Set -- 3.2.1 Level Set Definition -- 3.2.2 Numerical Method -- 3.2.3 Coupled Level-Set Volume of Fluid -- 3.2.4 Advection of the Level-Set Function and the Volume Fraction -- 3.3 Front Tracking -- 4 Adaptive Mesh Refinement -- 4.1 Introduction -- 4.2 AMR -- 4.3 Poisson Solver -- 4.4 Numerical Results. 327 $a5 Numerical Treatment of Constraints with Fictitious Domains -- 5.1 Augmented Lagrangian Methods -- 5.2 Penalty Methods -- 5.3 Remarks on Time Splitting Approaches -- 5.4 Validation of Penalty Techniques -- 6 Compressible (Low-Mach) Two-Phase Flows -- 6.1 Mass Conservation -- 6.2 Momentum Conservation -- 6.3 Energy Conservation -- 6.4 Comparison with Classical ``Low Mach Number'' Model -- 6.5 Synthesis of Models -- 6.6 Validation of Isothermal Compressible One-Fluid Model -- 7 Large Eddy Simulation of Resolved Scale Interfacial Flows -- 7.1 Filtering 1-Fluid Navier-Stokes Equations-Continuous Media Framework -- 7.2 Filtering Discrete Mechanics Equations -- 7.3 Structural LES and Approximate Deconvolution Models (ADM) -- 7.4 LES of Multiphase Flows -- 8 DNS of Particulate Flows -- 8.1 Fictitious Domain and Penalty Approaches -- 8.1.1 Physical Characteristics of the Equivalent Fluid -- 8.1.2 Eulerian-Lagrangian VOF Method for Particle Tracking -- 8.1.3 Numerical Modeling of Particle Interaction -- 8.1.4 Parallel Implementation -- 8.1.5 Sum up of the Implemented Eulerian-Lagrangian Algorithm -- 8.2 Validations -- 8.2.1 Monodispersed Arrangements of Spheres -- 8.2.2 Bidisperse Arrangements of Spheres -- 8.2.3 Fluidized Beds -- 8.2.4 Interaction Between Particles and Turbulence -- 9 Multiscale Euler-Lagrange Coupling -- 9.1 Introduction -- 9.2 Governing Equations -- 9.3 Resolved Liquid Structures-Eulerian Modelling -- 9.3.1 Interface Tracking -- 9.3.2 Temporal Integration -- 9.3.3 Adaptive Mesh Refinement -- 9.4 Multi-scale Approach -- 9.4.1 Treatment of Medium Structures -- 9.4.2 Small Droplets -- 9.5 Results and Validation -- 9.5.1 Drop in a Uniform Flow -- 9.5.2 Drop-Free Surface Collision -- 9.5.3 Assisted Atomization of a Liquid Sheet -- 10 Applications and Perspectives -- Appendix Bibliography. 410 0$aCISM International Centre for Mechanical Sciences 606 $aMultiphase flow$xMathematical models 606 $aTurbulence$xMathematical models 615 0$aMultiphase flow$xMathematical models. 615 0$aTurbulence$xMathematical models. 676 $a620.1064 700 $aVincent$b Ste?phane$01262192 702 $aEstivale?zes$b Jean-Luc 702 $aScardovelli$b Ruben 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996495164603316 996 $aSmall Scale Modeling and Simulation of Incompressible Turbulent Multi-Phase Flow$92950074 997 $aUNISA