ISSN:
0721-3115
Keywords:
Chemistry
;
Polymer and Materials Science
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
,
Process Engineering, Biotechnology, Nutrition Technology
Notes:
The computation of complex combustions is made classically by using an iterative Newton-Raphson method, applied to the resolution of a system of equations under constraint by the method of Lagrange multipliers. In many mineral combustions, there are products of reaction that present the same formula but belong to different phases (solids, liquids or gaseous). In these cases, the classic method ends frequently in singular matrix. Indeed, combustion equations can present in these cases, several equal or very close solutions, which induce a numerical fork phenomenon (“stiff” problems) and a chaotic algorithm behaviour. The method presented uses a Monte-Carlo random algorithm: the Method of Random mass Statements. It presents the advantage of converging in numerically stiff cases. It furthermore provides results equal to the classic method for non-stiff problems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/prep.19970220602
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