Initial Equations

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Initial Equations

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New in version 7 is the ability to state an initial set of steady-state equations that will be solved as the starting point for a time-dependent set of equations.

Example:

INITIAL EQUATIONS
 u:  visc*div(grad(u)) - dx(p) = dens*(u*dx(u) + v*dy(u))
 v:  visc*div(grad(v)) - dy(p) = dens*(u*dx(v) + v*dy(v))
 p:  div(grad(p)) = penalty*(dx(u)+dy(v))

 
EQUATIONS
 u:  visc*div(grad(u)) - dx(p) = dens*dt(u) + dens*(u*dx(u) + v*dy(u))
 v:  visc*div(grad(v)) - dy(p) = dens*dt(v) + dens*(u*dx(v) + v*dy(v))
 p:  div(grad(p)) = penalty*(dx(u)+dy(v))
 c:  dt(c) + u*dx(c) + v*dy(c) = div(Kc*grad(c))

 

Examples:

Samples | Usage | Sequenced_Equations | Initialeq.pde
Samples | Applications | Fluids | Coupled_Contaminant_Initeq.pde