Coupled thermo-hydro-mechanical modelling: A new parallel approach

Banicescu, Ioana; Cleall, Peter John; Thomas, Hywel Rhys; Philp, Roger

doi:10.1109/ipdps.2009.5161160

Cited by 5 publications

(4 citation statements)

References 10 publications

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“…The computation challenges related to the large spatial scales and timescales have been addressed by the application of domain decomposition and parallel algorithmic/computing techniques (Owen 2000;Thomas et al 2003;Vardon et al 2009). Although not presented in this paper, asymmetric compatible variants of the conjugate gradient solver, the biconjugate gradient (Bi-CG), conjugate gradient squared (CGS), and biconjugate gradient stabilized (Bi-CG STAB) methods have been implemented for nonlinear fully coupled problems providing significant time savings in this work.…”

Section: Computational Challengesmentioning

confidence: 99%

Nonisothermal Multicomponent Reactive Transport Model for Unsaturated Soil

Seetharam

Thomas

2011

Int. J. Geomech.

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A multicomponent reactive transport model, coupled with an existing thermal, hydraulic, and mechanical model for porous media, is investigated. The model is based on conservation of mass/energy principles for the flow and stress-strain equilibrium for the mechanical behavior. The resultant model is coupled with a geochemical model to capture geochemical interactions. Numerically, the Galerkin FEM is employed for spatial discretization and an implicit Euler method for temporal discretization. The coupling of the transport and geochemical models is achieved through both noniterative and iterative approaches. A series of applications are considered to demonstrate the numerical performance and qualitative behavior, specifically in the context of multicomponent behavior. The model shows good convergence and computational efficiency.

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Section: Computational Challengesmentioning

confidence: 99%

Nonisothermal Multicomponent Reactive Transport Model for Unsaturated Soil

Seetharam

Thomas

2011

Int. J. Geomech.

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“…Studying the numerical difficulties arising from the typically large and complex coupled systems and developing modeling solutions have been the focus of several research efforts. Performances of standard finite element (FE) modelling schemes are often improved either by using parallel solvers [1][2][3][4], implementing object-oriented programming paradigms [5], devising algebraic multi-grid methods [6,7] or applying staggered Newton schemes [1,8]. Recently, research studies have focused on developing model order reduction techniques in different branches of physics [9], or for coupled processes [10].…”

Section: Introductionmentioning

confidence: 99%

Model order reduction of nonlinear thermo-hydro-mechanical systems by means of elastic and plastic domain sub-structuring

Larion,

Massart,

Díez

et al. 2024

Finite Elements in Analysis and Design

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“…Computational efficiency for the FE-based modelling of coupled systems has been typically addressed by different high performance computing strategies (e.g. using parallel solvers [99,138,144,149], implementing object-oriented programming paradigm [148], devising algebraic multigrid methods [150,151], applying staggered Newton schemes [99,131]) to alleviate the computational burden.…”

Section: 6mentioning

confidence: 99%

“…Studying the numerical difficulties arising from the typically large and complex coupled systems and developing modeling solutions have been the focus of several research efforts. Performance of standard finite element (FE) modelling schemes are often improved either by using parallel solvers [99,138,144,149], implementing object-oriented programming paradigms [148], devising algebraic multi-grid methods [150,151] or applying staggered Newton schemes [99,131]. So far, very few research studies have however focused on developing model order reduction techniques specifically tailored to THM systems in a geomechanical context [22,81].…”

Section: Introductionmentioning

confidence: 99%

Model order reduction of coupled thermo-hydro-mechanical processes in geo-environmental applications

Larion¹

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In a large number of geo-environmental applications, it is essential to model coupled processes that depend on several design parameters such as material properties and geometrical features. Thermo-hydro-mechanical (THM) processes are, among others, key effects to consider in critical applications such as deep geological repository of hazardous waste. This thesis proposes novel model order reduction strategies to evaluate the thermo-hydro-mechanical response of the material, taking into account the complexities involved in the coupled processes for such applications. To include variability of some design parameters, an a-posteriori model order reduction approach with reduced basis methods is applied to solve the high-dimensional parametric THM system. The reduction is based on an offline-online stage strategy. In the offline stage, reduced subspaces are constructed by a greedy adaptive procedure and in the online stage, multi-subspace projection is performed to quickly obtain the coupled THM response at any value of the design parameter. At the core of the greedy adaptive strategy is a goal-oriented error estimator that guides the selection of optimal design parameters where snapshots are evaluated. To tackle nonlinearity in the form of elasto-plastic material behaviour, the multi-subspace reduced basis method is combined with sub-structuring by domain decomposition. The effectiveness of the model reduction strategies are demonstrated on inverse problems involving large-scale geomodels that depict the coupled response of host rocks in potential deep geological repository sites. Two types of scenarios are considered: (i) the host rock undergoing geomorphological process is investigated as glacier advances over it for a period lasting over thousands of years and (ii) the clay response of an underground research laboratory is modelled numerically to support and validate in-situ heating experiments. En un gran número de aplicaciones geoambientales, es esencial modelar procesos acoplados que dependen de varios parámetros de diseño, como las propiedades de los materiales y las características geométricas. Los procesos termohidromecánicos (THM) son, entre otros, efectos clave a considerar en aplicaciones críticas como los depósitos geológicos profundos de residuos peligrosos. Esta tesis propone novedosas estrategias de reducción de orden del modelo para evaluar la respuesta termo-hidromecánica del material, teniendo en cuenta las complejidades que implican los procesos acoplados para dichas aplicaciones. Para incluir la variabilidad de algunos parámetros de diseño, se aplica un enfoque de reducción de orden del modelo a-posteriori con métodos de base reducida para resolver el sistema paramétrico THM de alta dimensión. La reducción se basa en una estrategia de etapas offline-online. En la etapa offline, los subespacios reducidos se construyen mediante un procedimiento adaptativo codicioso y en la etapa online, se realiza una proyección multisubespacio para obtener rápidamente la respuesta THM acoplada a cualquier valor del parámetro de diseño. El núcleo de la estrategia adaptativa 'greedy' es un 'goal-oriented error estimator' a objetivos que guía la selección de los parámetros de diseño óptimos donde se evalúan las 'snapshots'. Para hacer frente a la no linealidad en forma de comportamiento elastoplástico del material, se combina el método de bases reducidas multisuperficie con 'domain decomposition sub-structuring'. La eficacia de las estrategias de reducción de modelos se demuestra en problemas inversos de problemas inversos que implican geomodelos a gran escala que representan la respuesta acoplada de las rocas anfitrionas en posibles emplazamientos de depósitos geológicos profundos. Se consideran dos tipos de escenarios: (i) se investiga la roca sometida a un proceso geomorfológico a medida que el glaciar avanza sobre ella durante un período de miles de años y (ii) se modela numéricamente la respuesta de la arcilla de un laboratorio de investigación subterráneo para apoyar y validar los experimentos de "in situ heating"

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Coupled thermo-hydro-mechanical modelling: A new parallel approach

Cited by 5 publications

References 10 publications

Nonisothermal Multicomponent Reactive Transport Model for Unsaturated Soil

Nonisothermal Multicomponent Reactive Transport Model for Unsaturated Soil

Model order reduction of nonlinear thermo-hydro-mechanical systems by means of elastic and plastic domain sub-structuring

Model order reduction of coupled thermo-hydro-mechanical processes in geo-environmental applications

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