7.14 Package FL.CDR

Defines convection-diffusion-reaction problems

Class: <CDR-PROBLEM>

Convection-diffusion-reaction problem.

Superclasses: <ELLSYS-PROBLEM>

Direct slots:

• COMPONENTS: Self-explanatory.

Function: BRATU-PROBLEM DIM

Returns a linearization for the Bratu problem -Delta u +e^u =0.

Function: CDR-MODEL-PROBLEM DOMAIN &KEY (DIFFUSION NIL DIFFUSION-P) (SOURCE NIL SOURCE-P) (DIRICHLET NIL DIRICHLET-P) GAMMA CONVECTION REACTION SIGMA INITIAL EVP (MULTIPLICITY 1) PROPERTIES

Generates a convection-diffusion-reaction model problem. Defaults are identity diffusion, right-hand-side equal 1, and Dirichlet zero boundary conditions. Ordinary function are converted into coefficient functions depending on a global coordinate. The first argument can be either a domain or an integer n which is interpreted as the n-dimensional unit cube.

Function: CDR-NONLINEAR-RHS-PROBLEM DOMAIN F &REST ARGS &KEY SOURCE REACTION &ALLOW-OTHER-KEYS

Returns the Newton linearization -Delta u + F'(u) u = F'(u) u - F(u) for the nonlinear problem -Delta u +F(u) =0.

Function: SCALAR-DIFFUSION DIM VALUE &KEY COMPRESSED-P

Scalar isotropic diffusion as an ellsys coefficient. value is the diffusion strength, compressed-p designates the storage form.