begin figure begin center leavevmode epsfbox diffusion absorb a line plot of the solution at a fixed point u 5 0 t advection diffusion equation source term jennarocca diffusion equation with point source jennarocca solution of diffusion equation plot the heat at depths of 0 5 10 15 and 20 m examples and tests an image of the computed solution oscillating dirichlet condition image thumbnail 1 d heat equation jennarocca a png image of the solution begin figure begin center leavevmode epsfbox diffusion noflux plot the heat at depths of 0 5 10 15 and 20 m advection diffusion equation 1 d steady state 7 first order schemes based on exact solutions l 1d convection diffusion examples and tests solving heat equation jennarocca 1d heat transfer heat equation in 1d heat m examples and tests diffusion equation solution 2d tessshlo the figure above shows the solution v x after 100 200 400 and 800 steps from this we can see that after 800 steps the solution is close the the fourier s law and the heat equation ppt discretizing the 2d heat equation ytical solution advection diffusion equation 2d tessshlo image thumbnail momentum heat mass transfer ppt an image of the solution the heat equation image thumbnail image thumbnail 2 dimensional boundary of the and initial conditions consisting of the temperature throughout the at t 0 note that the laplacian is defined finite difference methods for diffusion processes finite difference methods for diffusion processes 1 0 doentation figure 16 solution of scaled problem for 1d convection diffusion consider a 1d system at time t t each particle s random position is plot the heat at depths of 0 5 10 15 and 20 m 1d diffusion equation jennarocca 18 closure dummyvariable png