Diffusive transport in 1d

The following is the simulation of the diffusive transport equation in 1d :

(d/d_t)F+u*(d/d_x)*F-k*(d²/d_xx)*F = 0

where u is the velocity of the particle being transported.
In the example, we are transporting a senoid wave from left to right. You can change the velocity and the coefficients of diffusion modifying the parameters u and k in the 'globals' button.

You can experiment making the equation diffusive-dominant, or convective-dominant.

Theory pages:
Main page	FEM (i)	FEM (ii)	FDM (i)

Example pages:
1-d Heat Equation	2-d steady state Heat Equation
2-d Heat Equation	1-d non diffusive transport equation
1-d diffusive transport equation	2-d Non diffusive transport equation
Mesh generation with OOCSMP	Moving grids

Application pages:
Heating of two beams	Heating of two moving beams
Solving the equation U_t+U_xx+U_xy+U_yx=0	Solving the equation U_t+U_xx+U_xy+U_yx=0 using MGEN
Heat 1d using several outputs	Solving the Heat equation with a CA
Comparing a CA with the FEM	Gordon's sine equation

Other courses
Gravitation	Ecology	Electronics	PDEs	Other pages

Last modified 22/12/99 by Juan de Lara ( Juan.Lara@ii.uam.es, http://www.ii.uam.es/~jlara) need help for using this courses?.

The OOCSMP code - The SODA code