On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs
type: Item
instance of: scholarly article
title: On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs
zbMATH Open document ID: 0940.76077
DOI: 10.1155/S102602269800003X
author: M. G. Skarpetis
author: Basil G. Mertzios
author: F. N. Koumboulis
published in: Discrete Dynamics in Nature and Society
publication date: 2000-07-19T00:00:00Z
full work available at URL: https://eudml.org/doc/120416
review text: Summary: The Euler equations, namely a set of nonlinear partial differential equations (PDEs) mathematically describing the dynamics of inviscid fluids, are numerically integrated by directly modeling the original continuous-domain physical system by means of a discrete multi-dimensional passive (MD-passive) dynamic system, using principles of MD nonlinear digital filtering. The resulting integration algorithm is highly robust, thus attenuating the numerical noise during the execution of the steps of the discrete algorithm. The nonlinear discrete equations approximating the inviscid fluid dynamic phenomena are explicitly determined. Furthermore, the wave digital filter circuit realization of the Euler equations is determined. Finally, two alternative MD wave digital filter sets of nonlinear equations, for integrating the Euler equations, are analytically determined.
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 93E11
zbMATH DE Number: 1337771
zbMATH Keywords: discrete multi-dimensional passive dynamic system
zbMATH Keywords: infinite-dimensional systems
zbMATH Keywords: Euler equations
zbMATH Keywords: wave digital filter circuit realization
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1337771