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.
Helmholco lygties trečiosios eilės patikslinimas
Remiantis Oilerio lygtimis ir asimptotine analize gautas Helmholco lygties trečiosios eilės patikslinimas. Akustiniam slėgiui gauta Helmholco tipo lygtis bei jai išvestos sąlygos. Pateikti skaitinio modeliavimo rezultatai.
Jegorovs, J., & Mohring, J. (2005). A third order correction to the Helmholtz equation. Mathematical Modelling and Analysis, 10(1), 51-62. https://doi.org/10.3846/13926292.2005.9637270
Authors who publish with this journal agree to the following terms
that this article contains no violation of any existing copyright or other third party right or any material of a libelous, confidential, or otherwise unlawful nature, and that I will indemnify and keep indemnified the Editor and THE PUBLISHER against all claims and expenses (including legal costs and expenses) arising from any breach of this warranty and the other warranties on my behalf in this agreement;
that I have obtained permission for and acknowledged the source of any illustrations, diagrams or other material included in the article of which I am not the copyright owner.
on behalf of any co-authors, I agree to this work being published in the above named journal, Open Access, and licenced under a Creative Commons Licence, 4.0 https://creativecommons.org/licenses/by/4.0/legalcode. This licence allows for the fullest distribution and re-use of the work for the benefit of scholarly information.
For authors that are not copyright owners in the work (for example government employees), please contact VILNIUS TECHto make alternative agreements.