Space charge calculations using refinements on structured and unstructured grids:
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Rostock
2015
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xiii, 107 Seiten Illustrationen, Diagramme (teilweise farbig) |
| ISBN: | 9783000519352 |
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Record in the Search Index
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| adam_text | SPACE CHARGE CALCULATIONS USING REFINEMENTS
ON STRUCTURED AND UNSTRUCTURED GRIDS
Dissertation
zur
Erlangung
des akademischen Grades
Doktor-Ingenieur (Dr -Ing )
der Fakultät für Informatik und Elektrotechnik
der Universität Rostock
vorgelegt von
Christian Rüdiger Bahls, geboren am 01 05 1978 in Greifswald
aus Rostock
Rostock, 28 August 2015
CONTENTS
1 INTRODUCTION 3
1 1 Particle Accelerators 4
1 2 Space Charge Calculation 5
1 3 Gauss law amp; Poisson s Equation 5
1 4 Discretization and Solution Methods 9
2 INITIAL EXPERIMENTS USING FINITE DIFFERENCES 11
2 1 Charge Weighting 12
2 2 Evaluating the Gradient 13
2 3 Initial Experiments amp; Results 14
231 First Results 15
232 Poisson Disk Sampling 15
233 Bi-Modality amp; Location of the Error 16
234 Practical Error Estimates 18
2 4 Conclusions 20
3 USING THE CHOMBO FRAMEWORK 21
3 1 Using Chombo for the Solution of Elliptic PDEs 22
311 First Results 22
312 Robin s Boundary Condition 23
313 Implementing Robin s Boundary Condition 25
3 2 Computations with Bunches 29
321 Refinements 29
322 Results 31
323 Conclusion 32
4 MULTI-LEVEL ADAPTIVE TECHNIQUE 35
4 1 ML AT 36
411 T-Correction 37
412 Hanging Nodes and Interpolation 38
413 Order of Nodes in Gauß-Seidel Smoothing 39
4 2 Results amp; Conclusions 40
5 DISCONTINUOUS GALERKIN FEM 43
5 1 Introduction to DG-FEM 44
511 Approximation by Local Polynomials 45
512 Weak Formulation of DG-FEM 46
513 Invertibility and Numerical Fluxes 48
514 Consistency and Coercivity 49
515 Numerical Solution 51
5 2 Using Nudg++ 51
5-2 1 The Benchmark Problem 51
522 Adaptive Grid Refinement 52
5 3 Conclusion 54
6 THE CROUZEIX-RAVIART FEM 57
6 1 Space Charge Calculations - Revisited 58
6 2 Finite Element Spaces 59
621 Raviart-Thomas Mixed Finite Elements 59
622 Mixed and Hybrid Finite Elements 60
623 Crouzeix Raviart Finite Elements 61
6 3 Implementation of Crouzeix Raviart FEM 63
631 Initial Model Problem 64
632 Computations with Bunches 65
633 Meshes from external Tools 67
634 Conclusion 69
6 4 Further Research and Outlook 70
A GENERAL PURPOSE GPU 73
A i Why Parallelization matters 74
a11 Why GPGPU matters 75
a 2 The Development Environment 76
a 3 Particle-Particle Computations 77
a 4 Krylov Subspace Solver 78
a 5 Discussion of the Results obtained 79
a51 Accuracy of the Computation 79
a52 Run-time of the different Implementations 79
BIBLIOGRAPHY 95
|
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| spelling | Bahls, Christian Rüdiger Verfasser aut Space charge calculations using refinements on structured and unstructured grids vorgelegt von Christian Rüdiger Bahls aus Rostock Rostock 2015 xiii, 107 Seiten Illustrationen, Diagramme (teilweise farbig) txt rdacontent n rdamedia nc rdacarrier Rostock, Univ., Fak. für Informatik und Elektrotechnik, Diss., 2015 (DE-588)4113937-9 Hochschulschrift gnd-content HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028654317&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bahls, Christian Rüdiger Space charge calculations using refinements on structured and unstructured grids |
| subject_GND | (DE-588)4113937-9 |
| title | Space charge calculations using refinements on structured and unstructured grids |
| title_auth | Space charge calculations using refinements on structured and unstructured grids |
| title_exact_search | Space charge calculations using refinements on structured and unstructured grids |
| title_full | Space charge calculations using refinements on structured and unstructured grids vorgelegt von Christian Rüdiger Bahls aus Rostock |
| title_fullStr | Space charge calculations using refinements on structured and unstructured grids vorgelegt von Christian Rüdiger Bahls aus Rostock |
| title_full_unstemmed | Space charge calculations using refinements on structured and unstructured grids vorgelegt von Christian Rüdiger Bahls aus Rostock |
| title_short | Space charge calculations using refinements on structured and unstructured grids |
| title_sort | space charge calculations using refinements on structured and unstructured grids |
| topic_facet | Hochschulschrift |
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