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

neumann analysis using fourier series

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

LinkBack Thread Tools Display Modes
Old   October 23, 2002, 07:55
Default neumann analysis using fourier series
Posts: n/a
Hai everyone I have partial differential equation of type del_U/del_t=t-(1+(del_u/del_x)^2)^0.5. now to get for neumann analysis using fourier series thanks in advance i want to use explicit finite difference scheme. How can I fix the delta t and delta x for this above example. thanks student

  Reply With Quote

Old   October 24, 2002, 08:55
Default Re: neumann analysis using fourier series
Posts: n/a
Why do you want to solve this equation using an explicit finite difference scheme? You can actually solve this equation analytically!

Assume u= F(x) at t=0 and let q(x) = F'(x) & p(x) = sqrt( 1 + q(x)^2 ).

Then for any specified x and t solve

n = x + ( q(n)/p(n) )t

for n with u then giving by u = F(n) + t( p(n)^2 - q(n)^2 )/p(n)

You can always do something like this for nonlinear first order pdes,

  Reply With Quote


Thread Tools
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 On
Pingbacks are On
Refbacks are On

Similar Threads
Thread Thread Starter Forum Replies Last Post
Lax method stability via von neumann analysis morteza08 Main CFD Forum 1 June 5, 2010 12:43
fourier series prapanj Main CFD Forum 2 December 10, 2006 13:33
Fourier Transform of velocity series. MM? Main CFD Forum 0 February 11, 2006 11:33
Fourier Transform (Spectral analysis) tayfun FLUENT 0 June 18, 2004 13:36
Short Course: Computational Thermal Analysis Dean S. Schrage Main CFD Forum 11 September 27, 2000 17:46

All times are GMT -4. The time now is 10:22.