The ADRSolver is designed to solve partial differential equations of the form:
| (6.1) |
in either discontinuous or continuous projections of the solution field. For a full list of the equations which are supported, and the capabilities of each equation, see the table below.
Equation to solve | EquationType | Dimensions | Projections |
∇2u = 0 | Laplace | All | Continuous/Discontinuous |
∇2u = f | Poisson | All | Continuous/Discontinuous |
∇2u + λu = f | Helmholtz | All | Continuous/Discontinuous |
ϵ∇2u + V∇u = f | SteadyAdvectionDiffusion | 2D only | Continuous/Discontinuous |
ϵ∇2u + λu = f | SteadyDiffusionReaction | 2D only | Continuous/Discontinuous |
ϵ∇2u + V∇u + λu = f | SteadyAdvectionDiffusionReaction | 2D only | Continuous/Discontinuous |
+ V∇u = f | UnsteadyAdvection | All | Continuous/Discontinuous |
= ϵ∇2u | UnsteadyDiffusion | All | Continuous/Discontinuous |
+ V∇u = ϵ∇2u | UnsteadyAdvectionDiffusion | All | Continuous/Discontinuous |
+ u∇u = 0 | UnsteadyInviscidBurger | 1D only | Continuous/Discontinuous |