Uncertainty benchmarks for time-dependent transport problems

08/21/2023
by   William Bennett, et al.
0

Uncertainty quantification results are presented for a well known verification solution, the time dependent transport infinite plane pulse. The method of polynomial chaos expansions (PCE) is employed for quick and accurate calculation of the quantities of interest. Also, the method of uncollided solutions is used in this problem to treat part of the uncertainty calculation analytically.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
10/15/2019

A neural network approach for uncertainty quantification for time-dependent problems with random parameters

In this work we propose a numerical framework for uncertainty quantifica...
research
05/15/2023

Reduced-Memory Methods for Linear Discontinuous Discretization of the Time-Dependent Boltzmann Transport Equation

In this paper, new implicit methods with reduced memory are developed fo...
research
06/27/2022

Accurate solutions to time dependent transport problems with a moving mesh and exact uncollided source treatment

For the purpose of finding benchmark quality solutions to time dependent...
research
01/31/2022

Assessment of DeepONet for reliability analysis of stochastic nonlinear dynamical systems

Time dependent reliability analysis and uncertainty quantification of st...
research
10/17/2018

Path-based measures of expansion rates and Lagrangian transport in stochastic flows

We develop a systematic information-theoretic framework for a probabilis...
research
04/17/2018

On Barotropic Mechanisms of Uncertainty Propagation in Estimation of Drake Passage Transport

Uncertainty in estimation of Drake Passage transport is analyzed in a He...
research
09/23/2019

A Time-Dependent TSP Formulation for the Design of an Active Debris Removal Mission using Simulated Annealing

This paper proposes a formulation of the Active Debris Removal (ADR) Mis...

Please sign up or login with your details

Forgot password? Click here to reset