CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Wiki > Linear wave propagation

Linear wave propagation

From CFD-Wiki

(Difference between revisions)
Jump to: navigation, search
Line 15: Line 15:
c=1,t=0.25
c=1,t=0.25
== Results ==
== Results ==
-
 
+
[[Image:Initial_condition.png|450px]]
 +
[[Image:Result_wave.png|450px]]
== Reference ==
== Reference ==
-
{| style="width:75%; height:250px" border="1"
 
-
| [[Image:Initial_condition.png|250px]]
 
-
| [[Image:Result_wave.png|250px]]
 
-
 
-
|}
 

Revision as of 06:25, 14 January 2006

Contents

Problem definition

 \frac{\partial u}{\partial t}+ c \frac{\partial u}{\partial x}=0

Domain

x=[0,1]

Initial Condition

 u(x,0)=e^{-360*{(x-0.25)}^2}

Boundary condition

u[0]=0,u[imax]=u[imax-1](x[imax]=1.0)

Exact solution

 u(x,t)=e^{-360*{((x-c*t)-0.25)}^2}

Numerical method

c=1,t=0.25

Results

Initial condition.png Result wave.png

Reference

My wiki