Uncertainty Quantification of Axially Loaded Beams with Boundary Condition Imperfections

2022 ◽  
pp. 73-76
Author(s):  
A. Binder ◽  
M. Cheng-Guajardo ◽  
M. Vasquez ◽  
S. Ceballes ◽  
S. Zimmerman ◽  
...  
Keyword(s):  
Boundary Condition ◽  
Uncertainty Quantification ◽  
Axially Loaded

Uncertainty Quantification of Large-Eddy Spray Simulations

2016 ◽  
Vol 1 (2) ◽  
Author(s):  
Noah Van Dam ◽  
Chris Rutland
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Uncertainty Quantification ◽  
Polynomial Chaos ◽  
Screening Method ◽  
Latin Hypercube Sampling ◽  
Experimental Uncertainty ◽  
Large Eddy ◽  
Nested Grids ◽  
Response Variables

Two uncertainty quantification (UQ) techniques, latin-hypercube sampling (LHS) and polynomial chaos expansion (PCE), have been used in an initial UQ study to calculate the effect of boundary condition uncertainty on Large-eddy spray simulations. Liquid and vapor penetration as well as multidimensional liquid and vapor data were used as response variables. The Morris one-at-a-time (MOAT) screening method was used to identify the most important boundary conditions. The LHS and PCE methods both predict the same level of variability in the response variables, which was much larger than the corresponding experimental uncertainty. Nested grids were used in conjunction with the PCE method to examine the effects of subsets of boundary condition variables. Numerical modeling parameters had a much larger effect on the resulting spray predictions; the uncertainty in spray penetration or multidimensional spray contours from physically derived boundary conditions was close to the uncertainty of the measurements.

One-Dimensional Fin-Tip Boundary Condition Correction II

2001 ◽  
Vol 22 (5) ◽  
pp. 35-40 ◽  
Author(s):  
D. C. Look Jr ◽  
Arvind Krishnan
Keyword(s):  
Boundary Condition ◽  
One Dimensional

Sturm-Liouville Problem for Stationary Differential Operator with Nonlocal Two-Point Boundary Conditions

2006 ◽  
Vol 11 (1) ◽  
pp. 47-78 ◽  
Author(s):  
S. Pečiulytė ◽  
A. Štikonas
Keyword(s):  
Boundary Condition ◽  
Differential Operator ◽  
Boundary Conditions ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Liouville Problem ◽  
Complex Case ◽  
Qualitative Behavior ◽  
Point Boundary ◽  
Sturm Liouville

The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions. We prove general properties of the eigenfunctions and eigenvalues for such a problem in the complex case. In the second part, we investigate the case of real eigenvalues. It is analyzed how the spectrum of these problems depends on the boundary condition parameters. Qualitative behavior of all eigenvalues subject to the nonlocal boundary condition parameters is described.

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