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首页> 外文会议>International Conference "Functional Analysis in Interdisciplinary Applications" >Study of Stability of the Difference Scheme for the Model Problem of the Gaslift Process
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Study of Stability of the Difference Scheme for the Model Problem of the Gaslift Process

机译：燃气过程模型问题差分方案的稳定性研究

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The paper studies a model of the gaslift process where the motion in a gas-lift well is described by partial differential equations. The system describing the studied process consists of equations of motion, continuity, equations of thermodynamic state, and hydraulic resistance. A two-layer finite-difference Lax-Vendroff scheme is constructed for the numerical solution of the problem. The stability of the difference scheme for the model problem is investigated using the method of a priori estimates, the order of approximation is investigated, the algorithm for numerical implementation of the gaslift process model is given, and the graphs are presented. The development and investigation of difference schemes for the numerical solution of systems of equations of gas dynamics makes it possible to obtain simultaneously exact and monotonic solutions.
机译：本文研究了燃气工艺的模型，其中偏微分方程描述了气升井中的运动。描述研究过程的系统包括运动，连续性，热力学状态方程的方程和液压阻力。构建了双层有限差异LAX-VendRoff方案，用于问题的数值解决方案。使用先验估计的方法研究了模型问题的差异方案的稳定性，研究了近似的顺序，给出了燃气过程模型的数值实现的算法，并提出了图表。气体动力学方程系统数值解的差异方案的开发和研究使得可以同时获得精确和单调的溶液。

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