Method and apparatus for determining elementary circuits and ini

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364578, 364803, 364509, 137393, 137372, G06F 1556

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054146410

ABSTRACT:
A method for determining elementary circuits and initial values of flows in a pipe network including one or more source nodes and a plurality of demanding nodes. An upstream node and a downstream node of each pipe is determined. The upstream node has less total resistance than the downstream node to the source node. A pipe joined between an upstream node and a downstream node is selected as an upstream pipe of the downstream node. A pipe which is never designated as an upstream pipe is selected as a circuit origin pipe. A node level, which indicates the number of nodes included in the passage from the source node, is determined. An elementary circuit is determined, by tracing upstream nodes along a first route starting from a first node of the circuit origin pipe and along a second route starting from a second node of the circuit origin pipe in accordance with the node level of the upstream node of each pipe, until the first and second routes reach a same source node or a same demanding node. Each elementary circuit is used for setting initial values of flows of pipes, and then for computing the flows.

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