Acceleration of Uncertainty Updating in the Description of Transport Processes in Heterogeneous Materials

Details Acceleration of Uncertainty Updating in the Description of Transport Processes in Heterogeneous Materials Acceleration of Uncertainty Updating in the Description of Transport Processes in Heterogeneous Materials

2011-10-10

arxiv.org/abs/1110.2049v1

Computer Science

Computational Engineering, Finance, and Science

Scientific paper

The prediction of thermo-mechanical behaviour of heterogeneous materials such as heat and moisture transport is strongly influenced by the uncertainty in parameters. Such materials occur e.g. in historic buildings, and the durability assessment of these therefore needs a reliable and probabilistic simulation of transport processes, which is related to the suitable identification of material parameters. In order to include expert knowledge as well as experimental results, one can employ an updating procedure such as Bayesian inference. The classical probabilistic setting of the identification process in Bayes's form requires the solution of a stochastic forward problem via computationally expensive sampling techniques, which makes the method almost impractical. In this paper novel stochastic computational techniques such as the stochastic Galerkin method are applied in order to accelerate the updating procedure. The idea is to replace the computationally expensive forward simulation via the conventional finite element (FE) method by the evaluation of a polynomial chaos expansion (PCE). Such an approximation of the FE model for the forward simulation perfectly suits the Bayesian updating. The presented uncertainty updating techniques are applied to the numerical model of coupled heat and moisture transport in heterogeneous materials with spatially varying coefficients defined by random fields.

Affiliated with

Also associated with

No associations

Rating

Acceleration of Uncertainty Updating in the Description of Transport Processes in Heterogeneous Materials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Acceleration of Uncertainty Updating in the Description of Transport Processes in Heterogeneous Materials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Acceleration of Uncertainty Updating in the Description of Transport Processes in Heterogeneous Materials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-147314