Hitrostno-tlačna formulacija metode temeljnih rešitev za Stokesov tok

Rek, Zlatko (author), Šarler, Božidar (author)

Za reševanje enačb Stokesovega toka je bila izpeljana hitrostno-tlačna formulacija metode temeljnih rešitev. Metoda je enostavna in zelo natančna. Uspešnost tega pristopa je prikazana na primeru 2D Poiseuillovega toka in primeru toka v 2D kanalu s T-razcepom. Primerjava rezultatov izračuna s predstavljeno formulacijo in analitično rešitvijo v prvem zgledu, oz. referenčno numerično rešitvijo v drugem zgledu, pokaže uspešnost metode za reševanje problemov Stokesovega toka, ko je znan tlak na robu računskega območja.

• Language: Slovenian
• Keywords: metoda temeljnih rešitev, Stokesov tok, hitrostno-tlačna formacija
• Typology: 1.08 - Published Scientific Conference Contribution
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2021
• Number of pages: Str. 185-192
• PID: 20.500.12556/RUL-131455
• UDC: 532:519.6(045)
• COBISS.SI-ID: 77729795
• Publication date in RUL: 27.09.2021

Record is a part of a monograph

• Title: Kuhljevi dnevi 2021 : zbornik del
• Editors: Janko Slavič, Martin Česnik
• Place of publishing: Ljubljana
• Publisher: Slovensko društvo za mehaniko
• Year: 2021
• ISBN: 978-961-93859-6-8
• COBISS.SI-ID: 74786051

Secondary language

• Language: English
• Title: Method of fundamental solutions for Stokes flow by the velocity-pressure formulation

Abstract

The velocity-pressure formulation of the method of fundamental solutions was derived to solve the Stokes flow equations. The method is simple and very accurate. The success of this approach is shown in the case of 2D Poiseuill flow and the case of flow in 2D channel with Tjunction. Comparison of the calculation results with the presented formulation and analytical solution in the first example or reference numerical solution in the second example, shows the success of the method for solving Stokes flow problems when the pressure at the boundary of the computational domain is known.

• Keywords: method of fundamental solutions, Stokes flow, velocity-pressure formulation

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P2-0162
• Name: Tranzientni dvofazni tokovi

• Funder: ARRS - Slovenian Research Agency
• Project number: J2-1718
• Name: NAPREDNO BREZMREŽNO MODELIRANJE IN SIMULACIJA VEČFAZNIH SISTEMOV