Abstract:
A pattern transition information on whether a structurally stable flow pattern in whole or in part of a topological two-dimensional flow structure can transition to another structurally stable flow pattern via a structurally unstable flow pattern in an intermediate state is stored, and according to the pattern transition information, transition information on a transition route from a specified structurally stable flow pattern to another structurally stable flow pattern that can be topologically adopted is acquired.
Abstract:
There is provided a flow pattern regular expression creating method, a regular expression creating apparatus, and a program enabling provision of a new representation method enabling one-to-one correspondence to a flow pattern. A regular expression creating method of creating a regular expression of a flow pattern in a multiply connected exterior domain with N (N is an integer equal to or larger than 1) holes topologically includes a graph representation creating step of creating a graph representation having one-to-one correspondence to the flow pattern; and a regular expression creating step of creating a regular expression from the graph representation that is created at the graph representation creating step.
Abstract:
The present invention assigns, in order to form a word representation for a flow pattern in a multiply connected exterior domain having N holes topologically, any one of words that define two types of flow patterns that can be topologically applied to a simply connected exterior domain having a hole, and repeatedly assigns, to the assigned word, any one of words that define five types of operations that can be topologically applied to add a hole to the flow pattern, so that a word representation corresponding to the multiply connected exterior domain having N holes is formed.
Abstract:
The present invention assigns, in order to form a word representation for a flow pattern in a multiply connected exterior domain having N holes topologically, any one of words that define two types of flow patterns that can be topologically applied to a simply connected exterior domain having a hole, and repeatedly assigns, to the assigned word, any one of words that define five types of operations that can be topologically applied to add a hole to the flow pattern, so that a word representation corresponding to the multiply connected exterior domain having N holes is formed.