Abstract: The invention relates to a method for simulating a system of elements represented by a tree comprising leaf nodes each representing an element, and inner nodes including a root node R, on the basis of a Hamiltonian (formula I), p being the vector of momentum, q being the vector of the positions of the elements, and V being the potential energy of the system: when predetermined conditions are verified, the same translational movement is imparted on at least the descending elements of a given node of the tree, by defining the matrix M?1 equal to ?R, given the recursive formula according to which, for any node A of the tree comprising k child nodes (formula II).

Abstract: Method for simulating a system of elements, according to which the behaviour of said elements is determined on the basis of a Hamiltonian H of the system of elements, such as (formula I) where p is a vector indicating the moments of the elements. q is a vector indicating the positions of the elements, M?1 being a diagonal matrix that is a function of the masses of the elements, and V being the potential energy of the system, the method comprising a step according to which, when the vector moment p assumes certain predetermined values relating to at least one element, a value of zero is allocated to at least one diagonal term of the matrix M?1 relating to said element.

Abstract: Computer device for simulating a set of objects in interaction and corresponding method. A computer device for simulating a set of objects in interaction comprises: a memory (8) with a tree representation of the objects, each node being associated with dynamic, geometric and interaction data dependent on the data of the child nodes and local interaction data for certain nodes, a simulation controller (4), for actuating repeatedly: + a distributor (10) of interaction data, with a mechanism for interaction updating which scans the tree representation and updates an item of interaction data of a node as a function of the local interaction data of its child nodes, + a mechanism for updating the dynamic data (12) which scans the tree representation and operates as a function of the geometric interaction data concerned, + a mechanism for updating the geometric data (14) which scans the tree representation for nodes subject to interaction and operates as a function of the dynamic data updated.

Abstract: Computer device for simulating a set of objects in interaction and corresponding method. A computer device for simulating a set of objects in interaction comprises: a memory (8) with a tree representation of the objects, each node being associated with dynamic, geometric and interaction data dependent on the data of the child nodes and local interaction data for certain nodes, a simulation controller (4), for actuating repeatedly: + a distributor (10) of interaction data, with a mechanism for interaction updating which scans the tree representation and updates an item of interaction data of a node as a function of the local interaction data of its child nodes, + a mechanism for updating the dynamic data (12) which scans the tree representation and operates as a function of the geometric interaction data concerned, + a mechanism for updating the geometric data (14) which scans the tree representation for nodes subject to interaction and operates as a function of the dynamic data updated.