Study of Stability of the Difference Scheme for the Model Problem of the Gaslift Process
Аннотации
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.