Objective
The dynamic adaptation method (DYNADM) is the advanced method of numerical solution of partial differential equations. It permits to solve effectively a number of well-known computational problems, that are difficult to be solved by means of traditional numerical methods. The comparison of the DYNADM with the traditional methods on fixed Euler grids has shown that a number of computational grid nodes can be decreased by 1-2 orders of magnitude.
The FUNDAMENTAL OBJECTIVES of the Project are as follows: (a) further development and optimisation of the DYNADM intended for the solution of various transient problems, (b) extension of this method to multidimensional problems; (c) adaptation of complicated and time consuming computational problems for usual personal computers using DYNADM.
The APPLIED OBJECTIVES of the Project are related to the development of 3 sets of applied programs for : (1) high education (DYNADMED), (2) scientific research in laser technology, (3) practical engineering in the field of welding.
For example, DYNADMED is intended for students training in the field of applications of adaptive methods and their comparison with the traditional ones. DYNADMED will consist of 7 transient 1D problems: (a) the problem of two moving annihilating pulses, describing by two transfer equations; (b) the problem of heat wave propagation, described by heat transfer equation with weak discontinuity on the boundary; (c) the problem with small factor at highest derivation, described by non-linear Burgers equation; (d) the Buckley-Leverett problem, described by Buckley-Leverett equation; (e) the combustion problem, described by a parabolic type system; (f) the problem of accelerating piston, as an example of shock wave formation and propagation; (g) problem with two moving boundaries, related to combined version of Stefan problem.
All the above mentioned softwares will be specially developed for the utilisation on usual personal computers that are used in educational centres, small and middle size enterprises. The composition of consortium will assure a wide dissemination of the results of the Project in the fields of education, scientific research, welding technology.
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Programme(s)
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Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
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Funding Scheme
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Coordinator
42023 Saint-Etienne
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.