Building partial differential equations models using cell-devs

GABRIEL WAINER; CASTRO, RODRIGO; RUÍZ-MARTÍN, CRISTINA

Gothemburg

Conferencia; 51th Winter Simulation Conference; 2018

The study of complex systems usually requires hybrid simulations because they have components that are continuous in nature and other that are discrete. It has been proved that DEVS is s a common denominator to combine different Modeling and Simulation methodologies (such as Petri Nets, Cellular Automata, Modelica etc.). We present a cellular model solution to solve PDEs as an extension of classical numerical methods combined with the Cell-DEVS formalism. We explain how to use Cell-DEVS to solve PDEs, focusing on two examples: the PDEs of a Heat Diffusion Process solved with the Method of Lines, and the Shallow Water Equations solved using the Lax-Wendroff method. We will discuss the advantages of solving PDEs with Cell-DEVS, in particular its integration with other hybrid models.