Energetic-Property-Preserving Numerical Schemes for Coupled Natural Systems

Autor:	Mizuka Komatsu, Shunpei Terakawa, Takaharu Yaguchi
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	coupled system natural system energy-preserving numerical scheme energy-dissipating numerical scheme discrete gradient method geometric integration port-hamiltonian system Mathematics QA1-939
Zdroj:	Mathematics, Vol 8, Iss 2, p 249 (2020)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math8020249
Popis:	In this paper, we propose a method for deriving energetic-property-preserving numerical schemes for coupled systems of two given natural systems. We consider the case where the two systems are interconnected by the action−reaction law. Although the derived schemes are based on the discrete gradient method, in the case under consideration, the equation of motion is not of the usual form represented by using the skew-symmetric matrix. Hence, the energetic-property-preserving schemes cannot be obtained by straightforwardly using the discrete gradient method. We show numerical results for two coupled systems as examples; the first system is a combination of the wave equation and the elastic equation, and the second is of the mass−spring system and the elastic equation.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1a1dd2227fb744d8be7d22d9014e320e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.