• norsk
    • English
  • English 
    • norsk
    • English
  • Login
View Item 
  •   Home
  • Øvrige samlinger
  • Publikasjoner fra CRIStin - NTNU
  • View Item
  •   Home
  • Øvrige samlinger
  • Publikasjoner fra CRIStin - NTNU
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

On solutions to equilibrium problems for systems of stiffened gases

Flåtten, Tore; Morin, Alexandre; Munkejord, Svend Tollak
Journal article, Peer reviewed
Published version
Thumbnail
View/Open
on solutions 100784321.pdf (379.1Kb)
URI
http://hdl.handle.net/11250/2480747
Date
2011
Metadata
Show full item record
Collections
  • Institutt for energi og prosessteknikk [2690]
  • Publikasjoner fra CRIStin - NTNU [20842]
Original version
SIAM Journal on Applied Mathematics. 2011, 71 (1), 41-67.   10.1137/100784321
Abstract
We consider an isolated system of N immiscible fluids, each following a stiffened-gas equation of state. We consider the problem of calculating equilibrium states from the conserved fluid-mechanical properties, i.e., the partial densities and internal energies. We consider two cases; in each case mechanical equilibrium is assumed, but the fluids may or may not be in thermal equilibrium. For both cases, we address the issues of existence, uniqueness, and physical validity of equilibrium solutions. We derive necessary and sufficient conditions for physically valid solutions to exist, and prove that such solutions are unique. We show that for both cases, physically valid solutions can be expressed as the root of a monotonic function in one variable. We then formulate efficient algorithms which unconditionally guarantee global and quadratic convergence toward the physically valid solution.
Publisher
Society for Industrial and Applied Mathematics
Journal
SIAM Journal on Applied Mathematics

Contact Us | Send Feedback

Privacy policy
DSpace software copyright © 2002-2019  DuraSpace

Service from  Unit
 

 

Browse

ArchiveCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsDocument TypesJournalsThis CollectionBy Issue DateAuthorsTitlesSubjectsDocument TypesJournals

My Account

Login

Statistics

View Usage Statistics

Contact Us | Send Feedback

Privacy policy
DSpace software copyright © 2002-2019  DuraSpace

Service from  Unit