TY - GEN
T1 - Analysis of Essentially Non-oscillatory Numerical Techniques for the Computation of the Level Set Method
AU - Pineda, Israel
AU - Arellano, Daniela
AU - Chachalo, Roberth
N1 - Publisher Copyright:
© 2020, Springer Nature Switzerland AG.
PY - 2020
Y1 - 2020
N2 - In this paper, we analyze the Upwind Differencing and the Essentially Non-Oscillatory (ENO) schemes for the level set method during the evolution of interfaces. Our evolution experiments use different vector fields to test the behavior of the interface in different aspects. The experiments presented in this work are: evolution of a circle in a rotating field, shrinking and expanding of a square, Zalesak’s disk revolution, and single-vortex evolution. Each one of them provides a different view of the strengths and weaknesses of the method. The experiments use the percentage of area loss, the L1 error, and the order of convergence as accuracy metrics. We compare the different techniques, report our results, and provide conclusions.
AB - In this paper, we analyze the Upwind Differencing and the Essentially Non-Oscillatory (ENO) schemes for the level set method during the evolution of interfaces. Our evolution experiments use different vector fields to test the behavior of the interface in different aspects. The experiments presented in this work are: evolution of a circle in a rotating field, shrinking and expanding of a square, Zalesak’s disk revolution, and single-vortex evolution. Each one of them provides a different view of the strengths and weaknesses of the method. The experiments use the percentage of area loss, the L1 error, and the order of convergence as accuracy metrics. We compare the different techniques, report our results, and provide conclusions.
KW - Essentially non-oscillatory
KW - Level set method
KW - Simulation
UR - http://www.scopus.com/inward/record.url?scp=85082392287&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-42517-3_30
DO - 10.1007/978-3-030-42517-3_30
M3 - Contribución a la conferencia
AN - SCOPUS:85082392287
SN - 9783030425166
T3 - Communications in Computer and Information Science
SP - 395
EP - 408
BT - Applied Technologies - 1st International Conference, ICAT 2019, Proceedings
A2 - Botto-Tobar, Miguel
A2 - Zambrano Vizuete, Marcelo
A2 - Torres-Carrión, Pablo
A2 - Montes León, Sergio
A2 - Pizarro Vásquez, Guillermo
A2 - Durakovic, Benjamin
PB - Springer
T2 - 1st International Conference on Applied Technologies, ICAT 2019
Y2 - 3 December 2019 through 5 December 2019
ER -