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Title: The Planar Sandwich and Other 1D Planar Heat Flow Test Problems in ExactPack

Abstract

This report documents the implementation of several related 1D heat flow problems in the verification package ExactPack [1]. In particular, the planar sandwich class defined in Ref. [2], as well as the classes PlanarSandwichHot, PlanarSandwichHalf, and other generalizations of the planar sandwich problem, are defined and documented here. A rather general treatment of 1D heat flow is presented, whose main results have been implemented in the class Rod1D. All planar sandwich classes are derived from the parent class Rod1D.

Authors:
 [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1340981
Report Number(s):
LA-UR-17-20460
DOE Contract Number:
AC52-06NA25396
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; exact solution; verification; temperature; heat equations

Citation Formats

Singleton, Jr., Robert. The Planar Sandwich and Other 1D Planar Heat Flow Test Problems in ExactPack. United States: N. p., 2017. Web. doi:10.2172/1340981.
Singleton, Jr., Robert. The Planar Sandwich and Other 1D Planar Heat Flow Test Problems in ExactPack. United States. doi:10.2172/1340981.
Singleton, Jr., Robert. Tue . "The Planar Sandwich and Other 1D Planar Heat Flow Test Problems in ExactPack". United States. doi:10.2172/1340981. https://www.osti.gov/servlets/purl/1340981.
@article{osti_1340981,
title = {The Planar Sandwich and Other 1D Planar Heat Flow Test Problems in ExactPack},
author = {Singleton, Jr., Robert},
abstractNote = {This report documents the implementation of several related 1D heat flow problems in the verification package ExactPack [1]. In particular, the planar sandwich class defined in Ref. [2], as well as the classes PlanarSandwichHot, PlanarSandwichHalf, and other generalizations of the planar sandwich problem, are defined and documented here. A rather general treatment of 1D heat flow is presented, whose main results have been implemented in the class Rod1D. All planar sandwich classes are derived from the parent class Rod1D.},
doi = {10.2172/1340981},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Jan 24 00:00:00 EST 2017},
month = {Tue Jan 24 00:00:00 EST 2017}
}

Technical Report:

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