BUILDING PARTIAL DIFFERENTIAL EQUATIONS MODELS USING CELL-DEVS

Gabriel Wainer; Cristina Ruiz-Martín; Rodrigo Castro

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BUILDING PARTIAL DIFFERENTIAL EQUATIONS MODELS USING CELL-DEVS

机译：建立局部微分方程模型使用单元格开发

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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.

机译：复杂系统的研究通常需要混合模拟，因为它们具有与离散的性质中连续的组件。已经证明，DEVS是一个共同的分母，用于结合不同的建模和仿真方法（例如Petri网，蜂窝自动机，Modelica等）。我们提出了一种蜂窝模型解决方案，以解决PDE作为经典数值方法的延伸，与细胞 - 开发的形式主义相结合。我们解释了如何使用细胞开发来解决PDE，专注于两个示例：用线路方法解决的热扩散过程的PDE，以及使用LAX-Wendroff方法解决的浅水方程。我们将讨论用细胞开发求解PDE的优势，特别是与其他混合模型集成。

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《Proceedings of the Workshop on Principles of Advanced and Distributed Simulation》 |2018年第cdarom1期|共12页
作者
Gabriel Wainer; Cristina Ruiz-Martín; Rodrigo Castro;
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作者单位

Department of Systems and Computer Engineering Carleton University;

Department of Systems and Computer Engineering Carleton University;

Departamento de Computacion FCEyN UBA and ICC CONICET;

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正文语种 eng
中图分类计算技术、计算机技术;
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1. BUILDING PARTIAL DIFFERENTIAL EQUATIONS MODELS USING CELL-DEVS [J] . Gabriel Wainer, Cristina Ruiz-Martín, Rodrigo Castro Proceedings of the Workshop on Principles of Advanced and Distributed Simulation . 2018,第CDaROM1期

机译：建立局部微分方程模型使用单元格开发
2. INVESTIGATION AND NUMERICAL SOLUTION OF NONLINEAR PARTIAL DIFFERENTIAL AND INTEGRO-DIFFERENTIAL MODELS BASED ON SYSTEM OF MAXWELL EQUATIONS [J] . Temur Jangveladze Memoirs on Differential Equations and Mathematical Physics . 2019,第2期

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4. BUILDING PARTIAL DIFFERENTIAL EQUATIONS MODELS USING CELL-DEVS [C] . Gabriel Wainer, Cristina Ruiz-Martín, Rodrigo Castro Winter Simulation Conference . 2018

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BUILDING PARTIAL DIFFERENTIAL EQUATIONS MODELS USING CELL-DEVS

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