Pressure stabilized finite elements simulation for steady and unsteady Newtonian fluids

• Autorzy: Elhanafy A. , Guaily A. , Elsaid A.

Identyfikatory

DOI

10.17512/jamcm.2017.3.02

• Języki publikacji: EN

Abstrakty

EN

A numerical simulation of an incompressible viscous flow using the finite element method is presented. In this study, the pressure stabilization technique is suggested for the treatment of the incompressibility constraint for both steady and unsteady flow cases. To the best of the authors’ knowledge, the pressure stabilization technique is used for steady flows only. The proposed technique allows for equal low-order interpolation polynomials to be used for all variables which circumvent the so-called LBB compatibility condition without pressure checker boarding and solution instabilities. Results are obtained for two benchmark problems, namely, lid-driven cavity flow and the vortex-shedding behind a circular cylinder. The results are compared with published numerical and experimental works with an apparent degree of success.

Słowa kluczowe

EN

unsteady incompressible viscous flow; pressure stabilization technique; equal low-order finite elements; Galerkin least squares

PL

przepływ lepki; stabilizacja ciśnienia

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2017
• Tom: Vol. 16, nr 3
• Strony: 17--26
• Opis fizyczny: Bibliogr. 21 poz., rys., tab.

Twórcy

autor

Elhanafy A.

• Mathematics & Engineering Physics Department, Faculty of Engineering, Mansoura University PO 35516, Mansoura, Egypt

autor

Guaily A.

• Engineering Mathematics & Physics Department, Faculty of Engineering, Cairo University PO 12613, Giza, Egypt

autor

Elsaid A.

• Mathematics & Engineering Physics Department, Faculty of Engineering, Mansoura University PO 35516, Mansoura, Egypt

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).