Bridson Fluid Simulation for Computer Graphics

2. Auflage 2015
ISBN: 978-1-4822-3284-4
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 276 Seiten

A practical introduction, the second edition of Fluid Simulation for Computer Graphics shows you how to animate fully three-dimensional incompressible flow. It covers all the aspects of fluid simulation, from the mathematics and algorithms to implementation, while making revisions and updates to reflect changes in the field since the first edition.
Highlights of the Second Edition

New chapters on level sets and vortex methods

Emphasizes hybrid particle–voxel methods, now the industry standard approach

Covers the latest algorithms and techniques, including: fluid surface reconstruction from particles; accurate, viscous free surfaces for buckling, coiling, and rotating liquids; and enhanced turbulence for smoke animation

Adds new discussions on meshing, particles, and vortex methods

The book changes the order of topics as they appeared in the first edition to make more sense when reading the first time through. It also contains several updates by distilling author Robert Bridson’s experience in the visual effects industry to highlight the most important points in fluid simulation. It gives you an understanding of how the components of fluid simulation work as well as the tools for creating your own animations.

Zielgruppe

Computer graphics researchers and professionals.

Autoren/Hrsg.

Bridson, Robert

Fachgebiete

• Mathematik | Informatik EDV | Informatik Professionelle Anwendung
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Spiele-Programmierung, Rendering, Animation

Inhaltsverzeichnis

THE BASICSThe Equations of FluidsSymbolsThe Momentum EquationLagrangian and Eulerian ViewpointsIncompressibilityDropping ViscosityBoundary ConditionsOverview of Numerical SimulationSplittingSplitting the Fluid EquationsTime StepsGridsDynamic Sparse GridsTwo Dimensional SimulationsAdvection AlgorithmsSemi-Lagrangian AdvectionBoundary ConditionsTime Step SizeDiffusionReducing Numerical DiffusionLevel Set GeometrySigned DistanceDiscretizing Signed Distance FunctionsComputing Signed DistanceRecomputing Signed DistanceOperations on Level SetsContouringLimitations of Level SetsExtrapolating DataMaking Fluids IncompressibleThe Discrete Pressure GradientThe Discrete DivergenceThe Pressure EquationsProjectionMore Accurate Curved BoundariesThe Compatibility ConditionSmokeTemperature and Smoke ConcentrationBuoyancyVariable Density SolvesDivergence ControlParticle MethodsAdvection Troubles on GridsParticle AdvectionTransferring Particles to the GridParticle SeedingDiffusionParticle-in-Cell MethodsMORE TYPES OF FLUIDSWaterMarker Particles and VoxelsMore Accurate Pressure SolvesTopology Change and Wall SeparationVolume ControlSurface TensionFireThin FlamesVolumetric CombustionViscous FluidsStressApplying StressStrain Rate and Newtonian FluidsBoundary ConditionsImplementationMORE ALGORITHMSTurbulenceVorticityVorticity ConfinementProcedural TurbulenceSimulating Sub-Grid TurbulenceShallow WaterDeriving the Shallow Water EquationsThe Wave EquationDiscretizationOcean ModelingPotential FlowSimplifying Potential Flow for the OceanEvaluating the Height Field SolutionUnsimplifying the ModelWave ParametersEliminating PeriodicityVortex MethodsVelocity from VorticityBiot-Savart and StreamfunctionsVortex ParticlesCoupling Fluids and SolidsOne-Way CouplingWeak CouplingThe Immersed Boundary MethodGeneral Sparse MatricesStrong CouplingBackgroundVector CalculusNumerical MethodsDerivationsThe Incompressible Euler Equations