Iteratively coupled mixed finite element solver for thermo-hydro-mechanical modeling of permafrost thaw

IF 1.4 Q2 MATHEMATICS, APPLIED
Naren Vohra, Malgorzata Peszynska
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引用次数: 0

Abstract

In this paper we consider computational challenges associated with thermo-hydro-mechanical models for simulation of subsidence due to permafrost thaw. The model we outline couples heat conduction with phase change and thermal advection to Biot’s poroelasticity equations with attention paid to the dependence of the constitutive parameters on temperature. Our numerical scheme uses the lowest order mixed finite elements for discretization of thermal and hydrological flow, and Galerkin finite elements for mechanics, and uses an implicit–explicit time stepping. We set up an iterative solver that solves the thermal subproblem followed by the hydro-mechanical subproblem, and demonstrate its robustness in practical heterogeneous permafrost scenarios. We also identify the challenges associated with the roughness of the dependence of mechanical parameters on the temperature.

迭代耦合混合有限元求解器,用于冻土融化的热-水-力学建模
在本文中,我们考虑了与模拟永久冻土融化引起的沉降的热-水-机械模型相关的计算挑战。我们概述的模型将热传导与相变和热平流耦合到 Biot 的孔弹性方程中,并关注构成参数对温度的依赖性。我们的数值方案使用最低阶混合有限元对热流和水流进行离散化,使用 Galerkin 有限元对力学进行离散化,并使用隐式-显式时间步进。我们建立了一个迭代求解器,先求解热力子问题,再求解水力机械子问题,并证明了该求解器在实际的异质冻土场景中的稳健性。我们还确定了与机械参数对温度的依赖性粗糙度相关的挑战。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Results in Applied Mathematics
Results in Applied Mathematics Mathematics-Applied Mathematics
CiteScore
3.20
自引率
10.00%
发文量
50
审稿时长
23 days
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