Modeling the dynamics of flow in gas pipelines
The description of nonstationary one-dimensional flow of a nonideal gas in a pipe is treated with the goal of developing a mathematical description of flow and pressure (density) dynamics adequate for creating a simulation model of large pipeline networks, the analysis starts from Newton's equation of motion. The continuity equation, and the energy equation. The authors determine the relationships among: space discretization, terms of Newton's equation, and frequency of the dynamic processes occurring in the system. The resulting dynamic description of a pipe is discussed for two different modes of space discretization, and quantitative rules for space discretization are given.
Dynamic Simulation of Large Gas Distribution Networks
Abstract In the beginning this paper deals with the mathematical description of nonstationary flow in pipe/and with the description of the function on non-pipe elements of gas distribution networks (compressors, reducers, valves). During the work on developing the simulation model of complicated networks based on these previous results the original processes for decomposition and for integration of large scale and sparse systems of differential and nonlinear algebraic equations were worked out. Using these methods the universal program package for dynamic modelling of arbitrarily intricate network was developed. Its brief description is given at the end of this paper.
Numerical Simulation of Thermal Sensitivity for Explosives
In order to compare the thermal sensitivity of several typical explosives, this article solved numerically one-dimensional transient heat conduction equation including thermal decomposition for explosives with finite difference method. The explicit difference equations under different boundary conditions were established, and the corresponding stability criterion was derived. The ignition times for typical explosives were calculated, which was used to evaluate thermal sensitivity of explosives.