AI SearchStability analysis of numerical computations (Record no. 111165)
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| 000 -LEADER | |
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| fixed length control field | 03990cas a2200409 a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260818222139.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 110930s1996 th uu|m rtt 0| a1eng d |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | .b11534084 |
| 099 #9 - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Classification number | AIT Thesis no. WM-95-14 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Das, Himangshu Shekhar |
| 245 10 - TITLE STATEMENT | |
| Title | Stability analysis of numerical computations |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Bangkok : |
| Name of publisher, distributor, etc. | Asian Institute of Technology, |
| Date of publication, distribution, etc. | 1996 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 83 leaves : |
| Other physical details | ill. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Thesis ; |
| Volume/sequential designation | no. WM-95-14 |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | Thesis (M. Eng.) - Asian Institute of Technology, 1995 |
| 500 ## - GENERAL NOTE | |
| General note | A thesis submitted in partial fulfillment of the requirement for the degree of Master of Engineering, School of Civil Engineering |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | A stable numerical scheme is one for which errors from any source (round-off, truncation, mistakes) are not permitted to grow in the sequence of numerical procedures as the calculation proceeds from one. marching step to the next. In solving hydrodynamic partial differential equations over marehing steps, the problem of instability is a greatly concerned phenomenon as it disrupts the solution progress. The study of stability limits for generalized hydrodynamic models is necessary as an earlier detection of this limit can save our computer time and effort. In this work, efforts are given to develop a workable method to establish the stability limits for two dimensional hydrodynamic models with linear and constant coefficients. Principally, there are three methods which can be applied for stability analysis, namely, (i) Discrete Perturbation Stability Analysis, (ii) Hirt' s Stability Analysis, and (iii) Von Neumann Stability Analysis. In summary, all these methods provide information of value. In our present work, Von Neumann stability analysis is used as the method is the simplest, the most straight forward and most dependable. Starting with the most simplified cases of governing equations, stability is checked and gradually more and more terms are being added in the simplified governing equations to establish the additional stability criteria due to the additional terms in the partial differential equations for two dimensional flows. At present, eight different cases (Four for one dimensional cases and another four for two dimensional cases) are being worked with and it is found from this study that for simplified model equations, stability criteria can be achieved solely by analytical method ; but for complicated partial differential equations a hybrid method which is partly analytical and partly numerical, should be used to detect stability limits. It is found from this study of two dimensional flow that the dimensionless parameters namely Courant Number, Advective, Bottom friction and Coriolis force control stability criteria. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hydraulic engineering |
| General subdivision | Mathematical models |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Suphat Vongvisessomjai, |
| Relator term | Chairperson |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sutat Weesakul, |
| Relator term | Examination committee |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Harumichi, Kyotoh, |
| Relator term | Examination committee |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Asian Institute of Technology Partial Scholarship, |
| Relator term | Scholarship donor |
| 810 2# - SERIES ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Asian Institute of Technology. |
| Title of a work | Thesis ; |
| Volume/sequential designation | no. WM-95-14 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Full-Text |
| Uniform Resource Identifier | <a href="http://203.159.5.9/ait-thesis/detail.php?q=B15001">http://203.159.5.9/ait-thesis/detail.php?q=B15001</a> |
| 907 ## - LOCAL DATA ELEMENT G, LDG (RLIN) | |
| a | .b11534084 |
| b | mnait |
| c | u |
| 902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) | |
| a | 240516 |
| 998 ## - LOCAL CONTROL INFORMATION (RLIN) | |
| Operator's initials, OID (RLIN) | 0 |
| Cataloger's initials, CIN (RLIN) | 960827 |
| First date, FD (RLIN) | m |
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| 945 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
| l | mnait |
| 945 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
| l | mnait |
| 945 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
| l | mnarc |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | 20-AIT Publication |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | 40-Archives |
| 909 ## - LOCAL ITEMS USED | |
| Barcode | Barcode : 30050120558803 |
| CREATED | CREATED : 1995-03-30 |
| RECORD Id | RECORD # : i11830712 |
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| Barcode | Barcode : 30050120558811 |
| CREATED | CREATED : 1995-03-30 |
| RECORD Id | RECORD # : i11830724 |
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| Barcode | Barcode : 30050160044698 |
| CREATED | CREATED : 2016-04-03 |
| RECORD Id | RECORD # : i12890364 |
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| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Available for Loans | Asian Institute of Technology Library | Asian Institute of Technology Library | AIT Publications | 18/08/2026 | AIT Thesis no. WM-95-14 | 30050120558803 | 18/08/2026 | 1 | 18/08/2026 | 20-AIT Publication | ||||
| Available for Loans | Asian Institute of Technology Library | Asian Institute of Technology Library | AIT Publications | 18/08/2026 | AIT Thesis no. WM-95-14 | 30050120558811 | 18/08/2026 | 2 | 18/08/2026 | 20-AIT Publication | ||||
| Available for Loans | Asian Institute of Technology Library | Asian Institute of Technology Library | Archives | 18/08/2026 | AIT Thesis no. WM-95-14 | 30050160044698 | 18/08/2026 | 1 | 18/08/2026 | 40-Archives |