CFD Online Logo CFD Online URL
Home > Forums > General Forums > Main CFD Forum

PDE Limitations of Godunov Methods

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

Like Tree2Likes
  • 2 Post By praveen

LinkBack Thread Tools Search this Thread Display Modes
Old   February 5, 2018, 17:47
Default PDE Limitations of Godunov Methods
New Member
Join Date: Feb 2018
Posts: 1
Rep Power: 0
larayb is on a distinguished road
I understand that Godunov type methods are very popular for solving hyperbolic PDEs, but are they less applicable to solving parabolic and/or elliptic PDEs? Are there any possible limitations of these type of methods?

larayb is offline   Reply With Quote

Old   February 6, 2018, 23:07
Super Moderator
Praveen. C
Join Date: Mar 2009
Location: Bangalore
Posts: 342
Blog Entries: 6
Rep Power: 18
praveen is on a distinguished road
Hyperbolic pde admit discontinuous solutions. Central difference-type and galerkin-type methods are not stable for such problems. Godunov method is based on solving Riemann problem, which has a discontinuity. You can construct a stable scheme by this approach.

Parabolic and elliptic pde do not have shocks, so it does not make sense to try to use Godunov method. You can construct stable central/galerkin-type schemes for such problems.
FMDenaro and ssh123 like this.
praveen is offline   Reply With Quote


godunov, hyperbolic, pde

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
Any questions about Runge-Kutta methods Runge_Kutta Main CFD Forum 33 September 9, 2019 16:32
Rheolef 6.1: an efficient FEM C++ finite element library for solving PDE saramito Main CFD Forum 0 May 17, 2012 03:01
Algorithm for coupled pde with all flux boundary conditions benk Main CFD Forum 3 December 28, 2010 05:09
comments on FDM, FEM, FVM, SM, SEM, DSEM, BEM kenn Main CFD Forum 2 July 18, 2004 18:28
I just wonder why "SIMPLE" Junseok Kim Main CFD Forum 21 May 20, 2001 08:47

All times are GMT -4. The time now is 01:20.