UNIVERSAL METHOD FOR MODELING THE INTERACTIONS BETWEEN AT LEAST ONE WAVE AND AT LEAST ONE OBJECT, THE SURFACE OF EACH OBJECT DEFINING AN INTERFACE BETWEEN AT LEAST TWO MEDIA

摘要

The present invention relates to a method for modeling the interactions within a system between at least one object. The surface of each object defines an interface between at least two media. The set of elementary characteristic functions are chosen that correspond to the field of application in question. The physical properties of each medium considered composing the system are defined. Each object of the system is created by modeling it as a mesh and at least one elementary point source is associated with either side of each mesh element. The type of boundary conditions are determined for each interface. The global matrix for the interactions between the various objects is constructed, depending on the type of boundary conditions, the properties of the media and on the configuration of the system. The global matrix is inverted. The inverted matrix is multiplied by a column matrix containing the values of the excitation boundary conditions. A column matrix is obtained that contains the values of all of the elementary point sources. At every point in the system, the physical quantities representative of the interactions are calculated and an analytical model of the interactions within the system is obtained.