Automated Symbolic Upscaling: 2. Model Generation for Extended Applicability Regimes
- Department of Energy Resources Engineering Stanford University Stanford CA USA; OSTI
- Department of Energy Resources Engineering Stanford University Stanford CA USA
Abstract
In this second part of the two paper series, we detail an algorithmic procedure for systematically implementing the generalized closure form strategy presented in Part 1. This strategy extends the applicability of homogenized models with respect to classical homogenization theory, as demonstrated in Part 1 where upscaled models are rigorously derived in moderately reactive physical regimes. After encoding the algorithm into Symbolica, an automated upscaling framework, we upscale two reactive mass transport problems and numerically validate the resulting nonlinear homogenized models by showing the absolute error estimates predicted by homogenization theory are satisfied. In both problems, nontrivial closure forms and closure problems are automatically formulated using the encoded strategy with no human interaction, nor prior knowledge regarding the closure required for the systems. We hope these demonstrations spark further interest in automated analytical frameworks for multiscale modeling, as such capabilities are invaluable for generating rigorous multiscale models of complex phenomena in porous media.
- Research Organization:
- Stanford Univ., CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- SC0019075
- OSTI ID:
- 2420936
- Journal Information:
- Water Resources Research, Journal Name: Water Resources Research Journal Issue: 7 Vol. 59; ISSN 0043-1397
- Publisher:
- American Geophysical Union (AGU)
- Country of Publication:
- United States
- Language:
- English
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Automated Symbolic Upscaling: 1. Model Generation for Extended Applicability Regimes
Automated Symbolic Upscaling: 1. Model Generation for Extended Applicability Regimes