Jan Tibaut (Avtor), Jure Ravnik (Avtor), M Schanz (Avtor)

Povzetek

The development of new numerical methods for fluid flow simulations is challenging but such tools may help to understand flow problems better. Here, the Boundary-Domain Integral Method is applied to simulate laminar fluid flow governed by a dimensionless velocity–vorticity formulation of the Navier–Stokes equation. The Reynolds number is chosen in all examples small enough to ensure laminar flow conditions. The false transient approach is utilized to improve stability. As all boundary element methods, the Boundary-Domain Integral Method has a quadratic complexity. Here, the ℋ2 -methodology is applied to obtain an almost linear complexity. This acceleration technique is not only applied to the boundary only part but more important to the domain related part of the formulation. The application of the ℋ2 -methodology does not allow to use the rigid body method to determine the singular integrals and the integral free term as done until now. It is shown how to apply the technique of Guigiani and Gigante to handle the strongly singular integrals in this application. Further, a parametric study shows the influence of the introduced approximation parameters. For this purpose the example of a lid driven cavity is utilized. The second example demonstrates the performance of the proposed method by simulating the Hagen–Poiseuille flow in a pipe. The third example considers the flow around a rigid cylinder to show the behavior of the method for an unstructured grid. All examples show that the proposed method results in an almost linear complexity as the mathematical analysis promisses.

Ključne besede

robno-območna integralska metoda;križna aproksimacija;Helmholtzove enačbe;Yukawa potencial;hitrostna vrtinčna formulacija;ℋ-struktura;računalniška dinamika tekočin;boundary-domain integral method;velocity–vorticity;adaptive cross approximation;modified helmholtz equation;Yukawa potential;fast multipole method;ℋ-structure;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UM FS - Fakulteta za strojništvo
Založnik: Elsevier
UDK: 519.64:532
COBISS: 215413507 Povezava se bo odprla v novem oknu
ISSN: 1873-197X
Št. ogledov: 0
Št. prenosov: 3
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Slovenski jezik
Sekundarne ključne besede: robno-območna integralska metoda;križna aproksimacija;Helmholtzove enačbe;Yukawa potencial;hitrostna vrtinčna formulacija;ℋ-struktura;računalniška dinamika tekočin;
Vrsta dela (COBISS): Članek v reviji
Strani: 19 str.
Letnik: ǂPart ǂB
Zvezek: ǂvol. ǂ169
Čas izdaje: Oct. 2024
DOI: 10.1016/j.enganabound.2024.106015
ID: 25424821