Investigation of accuracy of the interface tracking method

• Autorzy: Węgrzyn-Skrzypczak E. , Skrzypczak T.
• Języki publikacji: EN

Abstrakty

EN

In this paper accuracy of a simple and effective method for tracking interfaces in two-dimensional area is investigated. The method is based on the level set method (LSM) with "brute force" reinitialization algorithm. A comparison of numerical solution with an analytical solution is presented and discussed.

Słowa kluczowe

EN

level set method; interface tracking; area loss

PL

metoda zbiorów poziomicowych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 2
• Strony: 105--110
• Opis fizyczny: Bibliogr. 11 poz., rys., tab.

Twórcy

autor

Węgrzyn-Skrzypczak E.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

autor

Skrzypczak T.

• Institute of Mechanics and Machine Design, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

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• [2] Adalsteinsson D., Sethian J.A., A fast level set method for propagating interfaces, Journal of Computational Physics 1995, 118, 269-277.
• [3] Barth T., Sethian J., Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains, Journal of Computational Physics 1998, 145, 1-40.
• [4] Sethian J.A., Fast marching methods, SIAM Review 1999, 41, 199-235.
• [5] Sethian J.A., Curvature and the evolution of fronts, Communications in Mathematical Physics 1985, 101, 487-499.
• [6] Sethian J.A., Numerical methods for propagating fronts, [in:] Variational Methods for Free Surface Interfaces, New York 1987, 155-164.
• [7] Sethian J.A., Fast marching methods and level set methods for propagating interfaces, [in:] von Karman Institute Lecture Series, Computational Fluid Mechanics 1998.
• [8] Skrzypczak T., Węgrzyn-Skrzypczak E., Mathematical and numerical model of solidification process of pure metals, International Journal of Heat and Mass Transfer 2012, 55(15-16), 4276-4284.
• [9] Skrzypczak T., Sharp interface numerical modeling of solidification process of pure metal, Archives of Metallurgy and Materials 2012, 57(4), 1189-1199.
• [10] Peng D., Merriman B., Osher S., Zhao H., A PDE-based fast local level set method, Journal of Computational Physics 1999, 155, 410-438.
• [11] Sussman M., Fatemi E., An efficient interface preserving level set re-distancing algorithm and its applications to interfacial incompressible fluid flow, Journal of Scientific Computing 1999, 20, 1165-1191.