modelAdvectionReaction
Model of an advection process with chemical reaction
Information
This models solves the problem represented by the following PDE by means of the finite volume method, on a spatial domain of unit length and assuming unit velocity v.
If μ = 0, the model represent the transport of a certain chemical species in a fluid, similar to SimpleAdvection. If mu is increased, a chemical reaction is added with two stable equilibria, one at u = 0 and one at u = 1, with an unstable equilibrium at u = α.
The chemical reaction sharpens the concentration wave front, which would be otherwise be smoothed out by the numerical diffusion effect of the finite volume method.
The boundary condition u_in at the inlet, i.e., u(0,t), is specified by suitable binding equations.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Integer | N | 10 | Number of volumes |
| Real | mu | 1000 | Kinetic coefficient of the reaction |
| Real | alpha | 0.5 | Parameter of the reaction model |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| Real | u_in | 1 | Inlet concentration |
| Real[N] | u | Concentration at each volume outlet |