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Mechanics
THE ANISOTROPIC TRIANGULATION APPLICATION IN COMBUSTION PROBLEM
Novosibirsk state technical university
Badika V.I.
Splitting of the working domain in combustion solution problem plays important part. The combustion as a chemical reaction evaluates quite dynamically and unequally. So there is a questio numerical algorithm constructing takes a place sharpened, which could reflect whole evolution dynamic of the combustion process.
Heat problem is a stiff task by it`s chemical-phisics parameters — there is a necessity to keep ratio between spacial and time steps during whole computational experiment. Storing of the working domain small shattering, where no reaction — rather expensive and unfeasible numerical operation.
It is a good approach to consider of a movement of combustion wave front using the anisotropic triangulation method, when quality of a spacial splitting construction is controlled by monitor functions, which reflect solution behavior. Under monitor function we can understand an interpolation error — equidistributed interpolation error through all edges of the triangulation elements.
Using such way reduces requirements to the data storage magnitude and decrease time to obtain the propound task solution with target accuracy.
There is «combustible substance»+ «smoke» model is considered in this paper. Mathematical model is consist of the system of nonlinear parabolical equations. Solution is solved by FEM with the second order basic functions on a triangular finite elements.
Note. Abstracts are published in author's edition
Last update: 06-Jul-2012 (11:52:45)