Computational examples of reaction–convection–diffusion equations solution under the influence of fluid flow: First example

Abstract This paper presents several numerical tests on reaction–diffusion equations in the Turing space, affected by convective fields present in incompressible flows under the Schnakenberg reaction mechanism. The tests are performed in 2D on square unit, to which we impose an advective field from the solution of the problem of the flow in a cavity. The model developed consists of a decoupled system of equations of reaction–advection–diffusion, along with the Navier–Stokes equations of incompressible flow, which is solved simultaneously using the finite element method. The results show that the pattern generated by the concentrations of the reacting system varies both in time and space due to the effect exerted by the advective field.

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