On obtaining numerical solutions for some reacting flow problems by using different matlab tools

Abstract

The author considers the reacting flow problem modelling and simulation possibilities by using the Matlab software and its packages. These types of problems naturally arise when one wishes to mathematically describe the processes of combustion or gasification of different fuels including biomass. These topics have been widely researched by different institutes in Latvia during the last years. The Matlab software and its packages are widely considered as a very powerful tool when it comes to matrix operations. Such operations are naturally involved when it comes to discretizing the systems of partial differential equations. It is possible to use the PDE tools package, FEATool package or create the author's own code in Matlab for tackling the types of problems, such as obtaining stationary or non-stationary solutions for mass fraction and temperature equations, describing the reacting flow. First, the model problem is proposed -the one, where we take a list of chemical reactions and construct the source terms for mass fraction and temperature equations. These models are parameterized and thus we briefly discuss the parametrization aspects as well. Afterwards, for different types of problems, such as obtaining solutions for stationary or non-stationary equations, serving as models of diffusion flames, the author obtains the simulation results, temperature and mass fraction distributions and analyses the advantages and disadvantages of each tool.