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008			110930s1996 th uu|m rtt 0| a1eng d
035			_a.b11534084
099		9	_aAIT Thesis no. WM-95-14
100	1		_aDas, Himangshu Shekhar
245	1	0	_aStability analysis of numerical computations
260			_aBangkok : _bAsian Institute of Technology, _c1996
300			_a83 leaves : _bill.
490	1		_aThesis ; _vno. WM-95-14
502			_aThesis (M. Eng.) - Asian Institute of Technology, 1995
500			_aA thesis submitted in partial fulfillment of the requirement for the degree of Master of Engineering, School of Civil Engineering
520			_aA 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	_aHydraulic engineering _xMathematical models
700	0		_aSuphat Vongvisessomjai, _eChairperson
700	0		_aSutat Weesakul, _eExamination committee
700	1		_aHarumichi, Kyotoh, _eExamination committee
710	2		_aAsian Institute of Technology Partial Scholarship, _eScholarship donor
810	2		_aAsian Institute of Technology. _tThesis ; _vno. WM-95-14
856			_3Full-Text _uhttp://203.159.5.9/ait-thesis/detail.php?q=B15001
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