PDEModelica1: a Modelica language extension for partial differential equations implemented in OpenModelica. (3rd April 2018)

• Record Type: Journal Article
• Authors: Šilar, Jan; Ježek, Filip; Kofránek, Jiří
• Is Part Of: International journal of modelling & simulation. Volume 38:Number 2(2018)
• Page Start: 128
• Page End: 137
• Publication Date: 2018-04-03
• Subjects: Modeling -- simulation -- partial differential equations -- Modelica -- language extension -- numerical methods -- counter-current heat exchange; Mathematical models -- Periodicals; Simulation methods -- Periodicals; Mathematical models; Simulation methods; Periodicals; 003.3
• DOI: 10.1080/02286203.2017.1404417
• Languages: English
• ISSNs: 0228-6203

Abstract

Abstract: Modelica is a language for modeling complex physical systems. It supports algebraic and ordinary differential equations. This paper presents a Modelica language extension for one-dimensional evolutionary partial differential equations (PDE) called PDEModelica1, which is based on earlier extensions, establishes several enhancements, and its support is implemented in OpenModelica. PDEs are solved using the method of lines. In this paper, we discuss changes to and enhancements of previous extensions as well as the numerical methods used. To conclude, we present a counter-current heat exchange model with results to demonstrate the applicability of our extension.