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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2024 Volume 25, Issue 2, Pages 175–186 (Mi vmp1116)

Methods and algorithms of computational mathematics and their applications

Software for solving problems of filtration fluid dynamics with phase hydrate and water-ice transformations

O. R. Rahimly

Keldysh Institute of Applied Mathematics (RAS), Moscow, Russia

Abstract: A model of thermodynamically equilibrium filtration with combined solid-phase inclusions of gas hydrates and a water-ice mixture is considered. Two-layer time difference schemes with adaptive artificial viscosity are constructed for problems of filtration fluid dynamics developing against the background of hydrate and ice formation in freezing and permafrost rocks. Computational algorithms and software have been developed to simulate heat and mass transfer processes in a porous medium with multiphase flow (gas, water-ice mixture, hydrates) with a variable phase composition. The software operates within a client-server architecture and is implemented using JavaScript for the client side and Golang in combination with Node.js for the server side. A series of calculations is carried out, which shows the effectiveness of the proposed algorithms.

Keywords: mathematical modeling, gas hydrates, phase transition, water-ice mixture, adaptive artificial viscosity, JavaScript, Golang, client-server application.

UDC: 519.687

Received: 12.03.2024
Accepted: 05.04.2024

DOI: 10.26089/NumMet.v25r214



© Steklov Math. Inst. of RAS, 2024