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BUILDING PARTIAL DIFFERENTIAL EQUATIONS MODELS USING CELL-DEVS

机译：使用CELL-DEVS建立偏微分方程模型

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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仿真，因为它们具有本质上是连续的组件和其他离散的组件。事实证明，DEVS是组合不同建模和仿真方法（例如Petri网，Cellular Automata，Modelica等）的共同点。我们提出了一种细胞模型解决方案来解决PDE，这是与Cell-DEVS形式主义相结合的经典数值方法的扩展。我们将以两个示例为例，说明如何使用Cell-DEVS求解PDE：通过线法求解的热扩散过程的PDE，以及使用Lax-Wendroff方法求解的浅水方程。我们将讨论用Cell-DEVS解决PDE的优势，特别是与其他混合模型的集成。

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《Winter Simulation Conference》|2018年|1382-1393|共12页
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Gabriel Wainer; Cristina Ruiz-Martín; Rodrigo Castro;
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Mathematical model; Object oriented modeling; Numerical models; Computational modeling; Delays; Partial differential equations;

机译：数学模型面向对象建模数值模型计算建模时滞偏微分方程;

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专利

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. Discussion on ????????Numerical solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics????????, ????????Analogue solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics???????? and ????????Analogue solution of elliptic differential equations by conformal transformations???????? [J] . Electrical Engineers, Proceedings of the Institution of . 1971,第6期

机译：用连续特性方法讨论二阶双曲型偏微分方程的数值解??????，二阶双曲型的模拟解偏微分方程的连续特性方法和利用共形变换的椭圆型微分方程的模拟解
3. Boundary Control for a Rigid-Flexible Manipulator With Input Constraints Based on Ordinary Differential Equations-Partial Differential Equations Model [J] . Cao Fangfei, Liu Jinkun Journal of Computational and Nonlinear Dynamics . 2019,第9期

机译：基于常微分方程的输入约束的刚性柔性操纵器的边界控制 - 部分微分方程模型
4. BUILDING PARTIAL DIFFERENTIAL EQUATIONS MODELS USING CELL-DEVS [C] . Gabriel Wainer, Cristina Ruiz-Martin, Rodrigo Castro Simulation Conference . 2018

机译：使用单元格开发构建局部微分方程模型
5. Uncertainty Quantification Problems in Tsunami Modeling and Reduced Order Models for Hyperbolic Partial Differential Equations [D] . Rim, Donsub. 2017

机译：海啸建模与双曲线部分微分方程的不确定性量化问题
6. In silico ordinary differential equation/partial differential equation hemodialysis model estimates methadone removal during dialysis [O] . Oscar A Linares, William E Schiesser, Jeffrey Fudin, 2015

机译：在计算机中常微分方程/偏微分方程的血液透析模型估计透析过程中美沙酮的去除
7. Modelling and Animation using Partial Differential Equations. Geometric modelling and computer animation of virtual characters using elliptic partial differential equations. [O] . Athanasopoulos Michael 2011

机译：使用偏微分方程进行建模和动画处理。使用椭圆偏微分方程对虚拟角色进行几何建模和计算机动画制作。
8. Partial Differential Equations and Continuum Models of Phase Transitions (Equations aux Derivees Partielles et Modeles Continus de Transitions de Phases). [R] . 1988

机译：偏微分方程和相变的连续模型（方程辅助部分和模型连续变换阶段）。

BUILDING PARTIAL DIFFERENTIAL EQUATIONS MODELS USING CELL-DEVS

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