RKC time-stepping for advectiondiffusionreaction problems
The original explicit RungeKuttaChebyshev (RKC) method is a stabilized second-order integration method for pure diffusion problems. Recently, it has been extended in an implicitexplicit manner to also incorporate highly stiff reaction terms. This implicitexplicit RKC method thus treats diffusion terms explicitly and the highly stiff reaction terms implicitly. The current paper deals with the incorporation of advection terms for the explicit method, thus aiming at the implicitexplicit RKC integration of advectiondiffusionreaction equations in a manner that advection and diffusion terms are treated simultaneously and explicitly and the highly stiff reaction terms implicitly.
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