Discontinuous Galerkin hp h p -adaptive methods for multiscale chemical reactors: Quiescent reactors
We present a class of chemical reactor systems, modeled numerically using a fractional multistep method between the reacting and diffusing modes of the system, subsequently allowing one to utilize algebraic techniques for the resulting reactive subsystems. A mixed form discontinuous Galerkin method is presented with implicit and explicit (IMEX) timestepping strategies coupled to dioristic entropy schemes for hp h p -adaptivity of the solution, where the h h and p p are adapted based on an L1 L 1 -stability result. Finally we provide some numerical studies on the convergence behavior, adaptation, and asymptotics of the system applied to a pair of equilibrium problems, as well as to general three-dimensional nonlinear LotkaVolterra chemical systems.
discontinuous galerkin chemical reactors reactiondiffusion energy methods hp h p -adaptive hp h p hp h p h p integrable systems