Multiobjective Model Predictive Control of a Parabolic Advection-Diffusion-Reaction Equation

Hierarchical Model (himod) Reduction for Advection-diffusion-reaction Problems

The effective numerical description of challenging problems arising from engineering applications demands often the selection of an appropriate reduced aka ”surrogate” model. The latter should result from a trade-off between reliability and computational affordability (see, e.g., [1, 8]). Different approaches can be pursued to set up the reduced model. In some cases, one can take advantage of s...

Stability Analysis of Scalar Advection-Diffusion Equation

This note recounts detailed stability and accuracy analysis of a scalar advection-diffusion equation.

Numerical Solution of Advection-Diffusion-Reaction Equations

A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon

This paper deals with the numerical solution of a class of reaction diffusion equations arises from ecological phenomena. When two species are introduced into unoccupied habitat, they can spread across the environment as two travelling waves with the wave of the faster reproducer moving ahead of the slower.The mathematical modelling of invasions of species in more complex settings that include ...

Front tracking for quantifying advection-reaction-diffusion.

We present an algorithm for measuring the speed and thickness of reaction fronts, and from those quantities, the diffusivity and the reaction rate of the active chemical species. This front-tracking algorithm provides local measurements suitable for statistics and requires only a sequence of concentration fields. Though our eventual goal is front tracking in advection-reaction-diffusion, here w...