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1.1 Background

The ADR solver can solve various problems, including the unsteady advection, unsteady diffusion, unsteady advection diffusion equation, etc. For a more detailed description of this solver, please refer to the User-Guide.

In this tutorial we focus on the unsteady advection equation

∂u ∂t-+ V ⋅∇u = 0,
(1.1)

where u is the independent variable and V = [VxVyVz] is the advection velocity. The unsteady advection equation can be solved in one, two and three spatial dimensions. We will here consider a two-dimensional problem, so that V = [VxVy].

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