Numerical methods for problems with moving fronts:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
Seattle, Wash.
Ravenna Park Publ.
1992
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | VII, 605 S. graph. Darst. 1 Diskette, 3,5" |
| ISBN: | 0963176501 |
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MARC
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| 100 | 1 | |a Finlayson, Bruce A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Numerical methods for problems with moving fronts |c Bruce A. Finlayson |
| 264 | 1 | |a Seattle, Wash. |b Ravenna Park Publ. |c 1992 | |
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Record in the Search Index
| _version_ | 1804124025604014080 |
|---|---|
| adam_text | iii
CONTENTS
PREFACE vii
1. INTRODUCTION 1
PART I. ONE DIMENSIONAL EXAMPLES SOLVED WITH ALL METHODS
2. INTRODUCTION TO FINITE DIFFERENCE METHODS AND
FINITE ELEMENT METHODS 10
2.1. Exact Solution to the Steady State Convective Diffusion Equation 10
2.2. Finite Difference Methods for the Steady State Convective Diffusion Equation 12
2.3. Galerkin Finite Element Methods for the Steady State Convective Diffusion Equation 16
2.4. Applications to the Advection Equation 30
2.5. Applications to the Transient Convective Diffusion Equation 35
3. APPLICATIONS TO BURGER S EQUATION 47
3.1. Applications to Burger s Equation Without Viscosity 47
3.2. Applications to Burger s Equation With Viscosity 50
4. ANALYSIS OF FINITE DIFFERENCE METHODS ON FIXED GRIDS 55
4.1. Accuracy, Stability, Dissipation, and Dispersion 55
4.2. Finite Difference Methods for the Advection Equation 64
4.3. Finite Difference Methods for Burger s Equation Without Viscosity 69
4.4. Finite Difference Methods for the Convective Diffusion Equation 76
4.5. Finite Difference Methods for Burger s Equation With Viscosity 88
4.6. Conclusions 89
5. ANALYSIS OF FINITE ELEMENT METHODS ON FIXED GRIDS 93
5.1. Accuracy, Stability, Dissipation and Dispersion 93
5.2. Finite Element Methods for the Advection Equation 97
5.3. Finite Element Methods for Burger s Equation Without Viscosity 102
5.4. Finite Element Methods for the Convective Diffusion Equation 110
5.5. Finite Element Methods for Burger s Equation with Viscosity 120
5.6. Conclusions 120
iv CONTENTS
6. SPECIALIZED TECHNIQUES 126
6.1. Random Choice Method 129
6.2. Flux corrected Transport 137
6.3. TVD and ENO Methods 151
6.4. Other Upstream Weighting Methods 159
6.5. High order Methods 172
6.5. Orthogonal Collocation on Finite Elements 181
6.6. Conclusion 183
7. ADAPTIVE AND MOVING MESHES 189
7.1. Adaptive Meshes for Steady State Problems 189
7.2. Moving Fronts with Analytical Placement of Nodes 206
7.3. Moving Fronts with Placement of Nodes by Equidistribution Principles 217
7.4. Moving Fronts with Weighted Residual Placement of Nodes 223
7.5. Euler Lagrange Methods 238
7.6. Comparison of Methods 246
PART II APPLICATIONS AND TWO DIMENSIONAL EXAMPLES
8. TWO DIMENSIONAL CONSIDERATIONS 257
8.1. Finite Difference Methods 257
8.2. Galerkin Finite Element Method 264
8.3. Taylor Galerkin Methods 268
8.4. Flux corrected Methods 275
8.5. Grid and Mesh Refinement 282
8.6. Moving Grids and Finite Elements 288
8.7. Spine Representation of Mesh 292
8.8. Natural Boundary Conditions 300
8.9. Group Velocity 307
9. THE CONVECTIVE DIFFUSION EQUATION WITH ADSORPTION 318
9.1. Linear Adsorption 318
9.2. Chromatography with Langmuir Adsorption 332
9.3. Two dimensional Cross Flow 343
9.4. A Moving Cone Problem 346
10. CONVECTION AND DIFFUSION WITH REACTION 355
10.1. A Model Problem With Convection 355
10.2. A Model Problem with Convection and Diffusion 365
10.3. Combustion in Flames 376
10.4. Modeling a Catalytic Converter 390
10.5. Solid Gas Reactions 396
CONTENTS v
11. PROBLEMS WITH PHASE CHANGE 402
11.1. Equations 402
11.2. One Phase Problems in One Dimension 405
11.3. Two Phase Problems in One Dimension 413
11.4. Two dimensional Heat Conduction 419
11.5. Two dimensional Heat Conduction and Convection 428
12. THE NAVIER STOKES EQUATION 434
12.1. Equations 434
12.2. Finite Element Methods for Steady State Problems 436
12.3. Finite Difference Methods 440
12.4. Finite Element Methods for Unsteady State Problems 442
12.5. The Taylor Galerkin Method 451
13. POLYMER FLOW 457
13.1. Introduction 457
13.2. Model Problem One: Stress with a Constant Gradient 461
13.3. Model Problem Two: Stress Along a Centerline 470
13.4. Model Problem Three: Unsteady Couette Flow 474
14. FLOW THROUGH POROUS MEDIA 496
14.1. Equations 496
14.2. Miscible Displacement in One Dimension 500
14.3. Immiscible Displacement in One Dimension 503
14.4. Partially Saturated Flow in One Dimension 517
14.5. Miscible Displacement in Two Dimensions 527
14.6. Immiscible Displacement in Two Dimensions 531
APPENDIX. DISPERSION DIAGRAMS 542
COMPUTER PROGRAM DESCRIPTION 579
AUTHOR INDEX 589
SUBJECT INDEX 595
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| id | DE-604.BV009681868 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:39:06Z |
| institution | BVB |
| isbn | 0963176501 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006402087 |
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| owner_facet | DE-29T DE-20 |
| physical | VII, 605 S. graph. Darst. 1 Diskette, 3,5" |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Ravenna Park Publ. |
| record_format | marc |
| spelling | Finlayson, Bruce A. Verfasser aut Numerical methods for problems with moving fronts Bruce A. Finlayson Seattle, Wash. Ravenna Park Publ. 1992 VII, 605 S. graph. Darst. 1 Diskette, 3,5" txt rdacontent n rdamedia nc rdacarrier Literaturangaben Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006402087&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Finlayson, Bruce A. Numerical methods for problems with moving fronts Strömungsmechanik (DE-588)4077970-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4077970-1 (DE-588)4128130-5 |
| title | Numerical methods for problems with moving fronts |
| title_auth | Numerical methods for problems with moving fronts |
| title_exact_search | Numerical methods for problems with moving fronts |
| title_full | Numerical methods for problems with moving fronts Bruce A. Finlayson |
| title_fullStr | Numerical methods for problems with moving fronts Bruce A. Finlayson |
| title_full_unstemmed | Numerical methods for problems with moving fronts Bruce A. Finlayson |
| title_short | Numerical methods for problems with moving fronts |
| title_sort | numerical methods for problems with moving fronts |
| topic | Strömungsmechanik (DE-588)4077970-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Strömungsmechanik Numerisches Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006402087&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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