| Autor: |
P. T. M. Vermeulen, Arnold Heemink, C. B. M. te Stroet |
| Rok vydání: |
2003 |
| Předmět: |
|
| Zdroj: |
IFAC Proceedings Volumes. 36:1381-1386 |
| ISSN: |
1474-6670 |
| DOI: |
10.1016/s1474-6670(17)34953-4 |
| Popis: |
In this paper we describe a reduced model structure that describes the hydraulic head h for ground water flow models as a linear combination of a set of spatial patterns P with time-varying coefficients r. We discuss a data-driven technique to extract patterns P (EOFs) that span a subspace of model results that captures most of the relevant information of the original model. We make use of the patterns to obtain a reduced dynamic model for the time-varying coeffecients via a Galerkin Projection. This technique substitutes h within the PDE for groundwater now by the reduced model structure PTr. We acquire a dynamic reduced model for dr/dt by multiplying the outcome with PT. The vector dimension of r is often small compared to the original dimension of h, and a model which operates within a lower dimension requires less computational time. The method has heen evaluated for a realistic case, whereby we achieved a maximal reduction in computational time of ≈ 80. The reduced model has a promising prospect as its efficiency increases whenever the number of grid cells increases and the parameterization of the original model grows in complexity. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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