Research Article
Sep 1979
Unconditional Stability in Convection Computations
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYAuthors: Victor Miguel Ponce, M.ASCE, Daryl B. Simons, F.ASCE, and Yung Hai Chen, M.ASCEAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 105, Issue 9
Abstract
A theoretical treatment of the numerical properties of a class of explicit schemes of the pure convection equation is presented. The von Neumann and Hirt analyses are used to show that unconditional stability and second-order accuracy are both possible within the framework of an explicit formulation. Three unconditionally stable and second-order accurate explicit schemes are presented. In two of them, the weighing factors vary in time and space as a function of the local Courant number.
Get full access to this article
View all available purchase options and get full access to this article.
Information & Authors
Information
Published In
Journal of the Hydraulics Division
Volume 105 • Issue 9 • September 1979
Pages: 1079 - 1086
Copyright
© 1979 American Society of Civil Engineers.
History
Published in print: Sep 1979
Published online: Feb 3, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
Victor Miguel Ponce, M.ASCE
Asst. Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo.
Daryl B. Simons, F.ASCE
Assoc. Dean of Engrg. and Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo.
Yung Hai Chen, M.ASCE
Asst. Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo.
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.
Cited by
View Options
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.