TY - GEN
T1 - Uncertainty quantification for turbulent mixing flows
T2 - 10th IFIP WG 2.5 Working Conference on Uncertainty Quantification in Scientific Computing, WoCoUQ 2011
AU - Kaman, T.
AU - Kaufman, R.
AU - Glimm, J.
AU - Sharp, D. H.
PY - 2012
Y1 - 2012
N2 - Uncertainty Quantification (UQ) for fluid mixing depends on the length scales for observation: macro, meso and micro, each with its own UQ requirements. New results are presented here for macro and micro observables. For the micro observables, recent theories argue that convergence of numerical simulations in Large Eddy Simulations (LES) should be governed by space-time dependent probability distribution functions (PDFs, in the present context, Young measures) which satisfy the Euler equation. From a single deterministic simulation in the LES, or inertial regime, we extract a PDF by binning results from a space time neighborhood of the convergence point. The binned state values constitute a discrete set of solution values which define an approximate PDF. The convergence of the associated cumulative distribution functions (CDFs) are assessed by standard function space metrics.
AB - Uncertainty Quantification (UQ) for fluid mixing depends on the length scales for observation: macro, meso and micro, each with its own UQ requirements. New results are presented here for macro and micro observables. For the micro observables, recent theories argue that convergence of numerical simulations in Large Eddy Simulations (LES) should be governed by space-time dependent probability distribution functions (PDFs, in the present context, Young measures) which satisfy the Euler equation. From a single deterministic simulation in the LES, or inertial regime, we extract a PDF by binning results from a space time neighborhood of the convergence point. The binned state values constitute a discrete set of solution values which define an approximate PDF. The convergence of the associated cumulative distribution functions (CDFs) are assessed by standard function space metrics.
UR - https://www.scopus.com/pages/publications/84868309106
U2 - 10.1007/978-3-642-32677-6_14
DO - 10.1007/978-3-642-32677-6_14
M3 - Conference contribution
AN - SCOPUS:84868309106
SN - 9783642326769
T3 - IFIP Advances in Information and Communication Technology
SP - 212
EP - 224
BT - Uncertainty Quantification in Scientific Computing - 10th IFIP WG 2.5 Working Conference, WoCoUQ 2011, Revised Selected Papers
A2 - Dienstfrey, Andrew M.
A2 - Boisvert, Ronald F.
PB - Springer New York LLC
Y2 - 1 August 2011 through 4 August 2011
ER -