A third order correction to the Helmholtz equation

Autor:	J. Jegorovs, J. Mohring
Jazyk:	angličtina
Rok vydání:	2005
Předmět:	non‐linear acoustics Euler equations asymptotic analysis scaling Helmholtz type equation pressure Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 10, Iss 1 (2005)
Druh dokumentu:	article
ISSN:	13926292 1392-6292 1648-3510
DOI:	10.3846/13926292.2005.9637270
Popis:	In this work we derive a third order correction to the classical Helmholtz equation. Starting from non‐linear Euler equations and using asymptotical analysis we get a decoupled system of linear, Helmholtz type equations, which are written in terms of the acoustical pressure functions. We present also a rather simple concept of the boundary conditions. Also numerical results and accompanying difficulties are discussed and presented. Remiantis Oilerio lygtimis ir asimptotine analize gautas Helmholco lygties trečiosios eiles patikslinimas. Akustiniam slegiui gauta Helmholco tipo lygtis bei jai išvestos salygos. Pateikti skaitinio modeliavimo rezultatai. First Published Online: 14 Oct 2010
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/9093aecf22a144a4a68a5dc9826d3309 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF