Numerical analysis of one dimensional motion of magma without mass forces

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:366

Article

Koleva, Miglena N.¹  Vulkov, Lubin G.² 

[1] Ruse Univ, Dept Math, 8 Studentska St, Ruse 7017, Bulgaria

[2] Ruse Univ, Dept Appl Math & Stat, 8 Studentska St, Ruse 7017, Bulgaria

关键词: Darcy flow magma model;    Degenerate parabolic equation;    Finite difference method;    Implicit-explicit scheme;    Iterative implicit scheme;    Positivity;    Conservation;    Convergence;   

DOI  :  10.1016/j.cam.2019.07.003

来源: Elsevier

【 摘 要 】

In this paper, we present numerical treatment for a compaction-driven Darcian flow viscoelastic rock magma model. This problem is a strongly coupled system of one quasi-linear parabolic equation and one integro-differential equation for the density and the porosity of the flow. The numerical discretization uses cell-centered finite difference method, combined with semi-implicit and implicit time stepping. Implicit-explicit schemes, as well as implicit-explicit iterative algorithms have been developed to solve the corresponding discrete problems. Some properties (positivity, boundness, conservation) of the numerical solutions are investigated. Convergence study of the iteration processes is also presented. The efficiency and the accuracy of the proposed methods are illustrated numerically by test examples with near-real data. (C) 2019 Published by Elsevier B.V.

【 授权许可】

Free