Simulation of Pipeline Dynamics Using an Optimized Finite Element Model
Author(s) -
Kazushi SANADA
Publication year - 1999
Publication title -
journal of robotics and mechatronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 19
eISSN - 1883-8049
pISSN - 0915-3942
DOI - 10.20965/jrm.1999.p0283
Subject(s) - finite element method , laminar flow , pipeline (software) , computer science , block diagram , state space , transient (computer programming) , state variable , state space representation , mathematics , simulation , mechanics , algorithm , engineering , physics , structural engineering , programming language , statistics , electrical engineering , thermodynamics , operating system
Applying finite element approximation to basic equations of pipeline dynamics, we propose an optimized finite element model written as a state space equation having a state variable vector of flows and pressures at intersecting grid points. The model accepts various forms of friction. We propose an augmented model including unsteady laminar friction rewritten as a state space equation. A model generator program is developed to calculate coefficient matrices of the state space equation of the model. Using the program, the model is compatible with block-diagram-based simulation software. Use of the model is shown by experiment and simulation examples. Transient pressures of a closed-end pipe were measured experimentally and used to validate simulated results of the optimized finite element model. Fuel injection was simulated using commercial simulation software to demonstrate model use.
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