Numerical model with explicit time integration scheme for tracking interfaces

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

Abstrakty

EN

In this paper a simple and effective method for tracking interfaces in two-dimensional area is described. The presented approach is very attractive in solving Stefan problems where moving internal boundaries occur. It is based on the level set method (LSM) and uses the so-called distance function. A numerical model based on the finite element method (FEM) is proposed.

Słowa kluczowe

EN

moving interface; level set method; finite element method

PL

metoda zbiorów poziomicowych; metoda elementów skończonych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 2
• Strony: 111--116
• Opis fizyczny: Bibliogr. 9 poz., rys.

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

• [1] Osher S., Sethian J.A., Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics 1988, 79, 12-49.
• [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] Peng D., Merriman B., Osher S., Zhao H., A PDE-based fast local level set method, Journal of Computational Physics 1999, 155, 410-438.
• [9] 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.