Use of scaled sensitivity coefficient relations for intrinsic verification of numerical codes and parameter estimation for heat conduction

DK Mishra, KD Dolan, JV Beck… - Journal of …, 2017 - asmedigitalcollection.asme.org
Numerical codes are important in providing solutions to partial differential equations in many
areas, such as the heat transfer problem. However, verification of these codes is critical. A …

Intrinsic verification methods in linear heat conduction

JV Beck, R McMasters, KJ Dowding… - International journal of heat …, 2006 - Elsevier
Verification of the codes that provide numerical heat transfer solutions obtained by finite
difference and other methods is important. One way to verify these solutions is to compare …

Verification of ansys and matlab Heat Conduction Results Using an “Intrinsically” Verified Exact Analytical Solution

RL McMasters, F de Monte… - Journal of …, 2021 - asmedigitalcollection.asme.org
Abstract A two-dimensional (2D) transient thermal conduction problem is examined, and
numerical solutions to the problem generated by ansys and matlab, employing the finite …

[图书][B] The effect of correlations and uncertain parameters on the efficiency of estimating and the precision of estimated parameters

AF Emery - 2003 - books.google.com
Estimating parameters involves both the determination of the parameters' values and,
equally importantly, some measure of the precision of the estimated parameters. In this …

Verification of MOOSE/Bison's heat conduction solver using combined spatiotemporal convergence analysis

A Toptan, NW Porter, JD Hales… - Journal of …, 2022 - asmedigitalcollection.asme.org
Bison is a computational physics code that uses the finite element method to model the
thermo-mechanical response of nuclear fuel. Since Bison is used to inform high …

Construction of a code verification matrix for heat conduction with finite element code applications

A Toptan, NW Porter, JD Hales… - Journal of …, 2020 - asmedigitalcollection.asme.org
When establishing the pedigree of a simulation tool, code verification is used to ensure that
the implemented numerical algorithm is a faithful representation of its underlying …

Intrinsic verification and a heat conduction database

KD Cole, JV Beck, KA Woodbury, F De Monte - International Journal of …, 2014 - Elsevier
In this paper several unique concepts in transient heat conduction are discussed, including
intrinsic verification, time partitioning, and a database of solutions organized with a …

[引用][C] Sensitivity analysis and uncertainty propagation of computational models

BF Blackwell, KJ Dowding - Handbook of numerical heat …, 2000 - Wiley Online Library
PROPAGATION OF COMPUTATIONAL MODELS Page 1 CHAPTER 14 SENSITIVITY
ANALYSIS AND UNCERTAINTY PROPAGATION OF COMPUTATIONAL MODELS BF …

An online database of benchmark problems for verification of inverse problems computer codes

CC Pacheco - Heat Transfer Engineering, 2024 - Taylor & Francis
Verification and validation are a fundamental step in the development process of computer
codes, particularly when seeking to numerically evaluate physical phenomena. Multiple …

Quantification of uncertainty propagation due to input parameters for simple heat transfer problems

MAA Mendes, S Ray, JMC Pereira, JCF Pereira… - International journal of …, 2012 - Elsevier
Propagation of uncertainty through the physical model has been investigated in the present
paper by solving two specific simple stochastic problems using the Non-Intrusive Spectral …