New Developments of the Computer Aided Analytical Definition of the Map-Wise Calculus Domains

摘要

The development of the computer aided analytical models is useful for the knowledge integration process that leads to hybrid models of the complex phenomena. The authors have a long run experience in conceiving original software instruments in mechanical engineering, at present being explored new paradigms. The resulting general concepts may be used to create new software general libraries and, further on, to easily develop new software instruments. From this standpoint, the new general definitions are paramount for the upper level developments. In this way, the general definitions of the calculus domain are tested by implementing the according data processing operations included in the definition-calculus-visualization triad. The calculus domain is divided in polygonal geometrical entities, similar to the LEGO pieces that may be added or extracted. The definition is general because a set of polygons may be used for the approximate discretization of any continuous domain. The computer code developed by us is structured in several header files that may be reused in other projects and the results' accuracy was tested in several case studies. The paper conceived as a progress report also presents the strengths of our approach and the future development directions.