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Orthmann, Jens: Efficient SPH-based simulation and rendering of fluid transport dynamicsEffiziente SPH basierte Simulation und Darstellung von Fluid Transport Dynamiken. 2014
Inhalt
Abstract
Contents
1. Introduction
1.1 Motivation
1.2 Techniques
1.3. Objectives
1.4 Challenges
1.5 Contributions
1.6 Outlook
2. Fluid Transport
2.1 Governing Equations
Total Transport
Velocity Field
2.2. Fluid Solvers
Mesh-based Methods
Hybrid Methods
Mesh-free Methods
3. SPH-based Transport
3.1 Continuum Description
Field Reconstruction
Smoothing Kernels
Dimensionless Interpolation
Constant Corrected Interpolation
3.2 Transport Formalism
Field Differentials
Diffusive Flux
Force Symmetry
Boundary Handling
3.3 Computation Strategies
Enforcing Incompressibility
Time Integration
Particle Neighbourhoods
3.4 The New Components
4. Consistent Surface Model
4.1 Foundations and Challenges
Explicit Surface Representations
Implicit Surface Representations
4.2 Computation of Surface Area
Smeared-Out Delta Function
Interpolation of Particle Areas
Stable Handling of Thin Fluid Sheets
4.3 The Embedded Surface Model
4.4 Application to Reaction Kinetics
4.5 Implementation Details
4.6 Results and Discussion
4.7 Conclusions
5. Temporally Coherent Sampling
5.1 Foundations and Challenges
High-Resolution Regions
Non-Uniform Support Radii
Challenges of an Adaptive Sampling
5.2 Temporal Blending
5.3. Application of Blend-Sets
Flux Computation
Flux Synchronization
5.4 Blending Duration
Error Estimation
Particle Initialization
5.5 Implementation Details
5.6 Results and Discussion
5.7 Conclusions
6. Feature-Preserving Ray Casting
6.1 Foundations and Challenges
Surface Reconstruction
Volume Rendering
6.2 Ray Casting Pipeline
6.3 Coherent Particle Access
Particle-to-Cell Assignment
Cell Merging
6.4 Sampling Error Analysis
Cell Irradiance Boundaries
Greedy Optimization of Sampling Levels
6.5 Implementation Details
6.6 Results and Discussion
6.7 Conclusions
7. Conclusion
7.1 Summary
7.2 Future Work
7.3 Final Words
Bibliography
List of Figures
List of Tables