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Multigrid Improvements to CITCOM
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Contents
1. Introduction
1.1 About the CITCOM dCSE Project
1.1.1 Project Duration
1.1.2 Project Plan
1.2 CITCOM Background
2. Initial Project Study
2.1 Background
2.2 Learning Curve
2.2.1 Learning CITCOM
2.3 Precautions
2.4 Miscellaneous
2.4.1 data_directory()
2.4.2 date_and_time()
2.5 Planned Implementation and Tests
2.5.1 Implementation
2.5.2 Testing
2.5.3 Optimisation
2.5.4 Further Testing
2.6 Conclusions
3. Multigrids
3.1 Multigrid Methods
3.1.1 Relaxation/Correction
3.1.2 Prolongation/Interpolation
3.1.3 Restriction/Projection
3.2 Multigrid Cycles
3.2.1 V-cycle
3.2.2 W-cycle
3.2.3 FMG Cycles
3.2.4 Multigrid Schemes
3.3 Model Problem
3.4 Test Problems
3.5 Results
3.5.1 Simple 2D Test Problem
3.5.2 Simple 3D Test Problem
3.5.3 Complex 2D Test Problem
3.5.4 Complex 3D Test Problem
3.5.5 Summary
3.6 Post Processing Tools
3.6.1 CITCOM Tools
3.6.2 Gnuplot
3.6.3 The Generic Mapping Tools (GMT)
3.7 Next Phase
3.7.1 Mesh Refinement
3.7.2 Improvements to Prolongation and Restriction
4. Refinement
4.1 Prolongation and Restriction
4.2 Local Mesh Refinement
4.2.1 Refinement Strategy
4.2.2 Refinement Setup
4.2.3 Refinement Implementation
4.2.4 Outcome
5. Conclusions
5.1 Summary
5.2 Achievements
5.3 Recommendations
List of Figures
List of Tables
Bibliography
Next:
List of Figures
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Multigrid Improvements to CITCOM
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Acknowledgements
Sarfraz A Nadeem 2010-06-15