2012
DOI: 10.2172/1034263
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Multiphysics simulations: challenges and opportunities.

Abstract: We consider multiphysics applications from algorithmic and architectural perspectives, where "algorithmic" includes both mathematical analysis and computational complexity and "architectural" includes both software and hardware environments. Many diverse multiphysics applications can be reduced, en route to their computational simulation, to a common algebraic coupling paradigm. Mathematical analysis of multiphysics coupling in this form is not always practical for realistic applications, but model problems re… Show more

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Cited by 91 publications
(149 citation statements)
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References 292 publications
(363 reference statements)
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“…As an example, renormalization group theory [29,30] has been proposed as a general framework for turbulence and other multiscale physical modelling, although revolutionary advances have not materialized specifically for turbulence modelling. Nevertheless, advances in multiscale modelling such as systematic upscaling (SU) [31,32] offer the possibility for step changes in physical modelling capability and should be pursued in a measured manner.…”
Section: (I) High-performance Computingmentioning
confidence: 99%
“…As an example, renormalization group theory [29,30] has been proposed as a general framework for turbulence and other multiscale physical modelling, although revolutionary advances have not materialized specifically for turbulence modelling. Nevertheless, advances in multiscale modelling such as systematic upscaling (SU) [31,32] offer the possibility for step changes in physical modelling capability and should be pursued in a measured manner.…”
Section: (I) High-performance Computingmentioning
confidence: 99%
“…However, the complexity of fully coupled global ESM has prevented a comprehensive and integrated approach to all aspects of credibility. A good fraction of ideas papers submitted to AXICCS concerned the many facets of creating a more integrated approach to model credibility including, for example, strategies emphasizing verification, validation, and uncertainty quantification [Papers 14,20,25,26,34,38,51], new ideas for exploiting scientific or computational insights to allow greater efficiencies in sampling sources of uncertainty [Papers 4,8,9,36,37,38,46,55], and ideas for leveraging code design to more easily synthesize models and observations [Papers 2,3,15,35]. The topic that most undermines efforts to assess model credibility is the challenge to quantify the effects of model biases on model predictions, particularly when extrapolating into regimes for which we do not have observational data [27].…”
Section: Grand Challengementioning
confidence: 99%
“…Focused on complete algorithmic descriptions of all processes, couplings would be synchronized based on their degree of strong-versus-weak and tight-versus-loose connections as defined by the computational science community [20].…”
Section: Opportunities and Potential Solutionsmentioning
confidence: 99%
“…Equation 1 is a simplified schema of systems described by first principles in, e.g., [8] for porous media applications or [21] for reacting flows. In turn, such systems may be regarded as embedded in multiphysics applications for which computational modelers increasingly prefer fully implicit solvers [13] for reasons of numerical efficiency, stability, and/or robustness. Past generations of modelers lacking powerful high performance solvers have tended to employ operator splitting to solve such systems in a series of steps that leave behind first-order temporal splitting errors and potentially destabilizing mechanisms.…”
Section: Multi-component Applicationsmentioning
confidence: 99%