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Tytuł artykułu

Investigation of accuracy of the interface tracking method

Treść / Zawartość
Identyfikatory
Warianty tytułu
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.
Rocznik
Strony
105--110
Opis fizyczny
Bibliogr. 11 poz., rys., tab.
Twórcy
  • Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland
  • 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] 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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e069b180-b694-46fa-b71e-6da9207c290a
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