针对全耦合热-弹塑性模型的物理保留富集伽勒金方法

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Son-Young Yi, Sanghyun Lee
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引用次数: 0

摘要

本文在统一的丰富伽勒金(EG)方法框架内,针对全耦合准静态热-弹塑性模型提出了一种新的数值方法。在我们的方法中,力学子问题采用无锁定 EG 方法求解,流动和热量子问题采用局部保守 EG 方法求解。与具有相同特性的其他方法(包括非连续 Galerkin 方法和混合有限元方法)相比,所提出的方法具有质量和能量守恒特性,而且成本更低。我们仔细推导了该方法的良好假设性和最佳先验误差估计。若干数值测试证实了新方法的理论最佳收敛率以及质量和能量守恒特性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model

Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model

This paper proposes a new numerical method for a fully-coupled, quasi-static thermo-poroelasticity model in a unified enriched Galerkin (EG) method framework. In our method, the mechanics sub-problem is solved using a locking-free EG method, and the flow and heat sub-problems are solved using a locally-conservative EG method. The proposed method offers mass and energy conservation properties with much lower costs than other methods with the same properties, including discontinuous Galerkin methods and mixed finite element methods. The well-posedness and optimal a priori error estimates are carefully derived. Several numerical tests confirm the theoretical optimal convergence rates and the mass and energy conservation properties of the new method.

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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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