CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > General Forums > Main CFD Forum

Is it possible to solve multi-component Euler equations with finite-difference WENO m

Register Blogs Members List Search Today's Posts Mark Forums Read

Like Tree1Likes
  • 1 Post By FMDenaro

Reply
 
LinkBack Thread Tools Search this Thread Display Modes
Old   December 18, 2017, 08:56
Default Is it possible to solve multi-component Euler equations with finite-difference WENO m
  #1
Member
 
Oleg Sutyrin
Join Date: Feb 2016
Location: Russia
Posts: 41
Rep Power: 10
OlegSutyrin is on a distinguished road
Single-component Euler equations are solved with finite-difference WENO methods very well. Now I'm trying to apply them to gas mixtures (with aim to reacting mixtures).

While searching for extension to multi-component equations, I find very little on finite-difference WENO methods for them, mostly there are finite-volume formulations. One paper even containts the phrase: "... Care must then be taken when solving the resulting governing equations. They must be cast in a finite-volume framework and discretized with a non-oscillatory spatial and temporal method, with the primitive state variables, rather than the conservative ones, spatially reconstructed".

Is it impossible to achieve all needed equilibriums (mass, momentum, energy) across interfaces in finite-difference formulation? If it is possible, are there any widely accepted FD WENO methods for gas mixtures?
OlegSutyrin is offline   Reply With Quote

Old   December 18, 2017, 09:01
Default
  #2
Senior Member
 
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,760
Rep Power: 71
FMDenaro has a spectacular aura aboutFMDenaro has a spectacular aura aboutFMDenaro has a spectacular aura about
Quote:
Originally Posted by OlegSutyrin View Post
Single-component Euler equations are solved with finite-difference WENO methods very well. Now I'm trying to apply them to gas mixtures (with aim to reacting mixtures).

While searching for extension to multi-component equations, I find very little on finite-difference WENO methods for them, mostly there are finite-volume formulations. One paper even containts the phrase: "... Care must then be taken when solving the resulting governing equations. They must be cast in a finite-volume framework and discretized with a non-oscillatory spatial and temporal method, with the primitive state variables, rather than the conservative ones, spatially reconstructed".

Is it impossible to achieve all needed equilibriums (mass, momentum, energy) across interfaces in finite-difference formulation? If it is possible, are there any widely accepted FD WENO methods for gas mixtures?

My opinion is that the Euler equations can produce non-regular solutions and the FD discretization works on the differential form of the equations that is not suitable on singularities. Conversely, the FV discretization adopts the integral form and differentiation of the fluxes is no longer required.
ashokac7 likes this.
FMDenaro is offline   Reply With Quote

Reply

Thread Tools Search this Thread
Search this Thread:

Advanced Search
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are Off
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
The fundamental difference between Finite Difference and Finite Volume Methods vikramaditya91 Main CFD Forum 3 January 14, 2016 05:13
solving finite journal bearing problem by finite difference Atit Koonsrisuk Main CFD Forum 6 March 29, 2015 09:09
Finite difference stability analysis Frank Main CFD Forum 2 August 31, 2006 15:30
trying to solve 2d compressible euler equations dave Main CFD Forum 4 July 16, 2003 10:08
Agglomeration multigrid to solve Euler equations Jian Xia Main CFD Forum 3 January 11, 2000 19:07


All times are GMT -4. The time now is 19:45.