Building partial differential equations models using cell-devs

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 Aut...

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Detalles Bibliográficos
Autores principales: Wainer, G., Ruiz-Martín, C., Castro, R.
Formato: CONF
Materias:
Cells
Equations of motion
Numerical methods
Petri nets
Common denominators
Heat diffusions
Hybrid simulation
Lax-Wendroff method
Method of lines
Modeling and simulation methodologies
Partial differential
Shallow water equations
Cytology
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_08917736_v2018-December_n_p1382_Wainer
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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. © 2018 IEEE

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