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dc.contributor.authorLi, Yanen_US
dc.contributor.authorChern, I-Liangen_US
dc.contributor.authorKim, Joung-Dongen_US
dc.contributor.authorLi, Xiaolinen_US
dc.date.accessioned2014-12-08T15:30:55Z-
dc.date.available2014-12-08T15:30:55Z-
dc.date.issued2013-11-01en_US
dc.identifier.issn1815-2406en_US
dc.identifier.urihttp://dx.doi.org/10.4208/cicp.120612.080313aen_US
dc.identifier.urihttp://hdl.handle.net/11536/22082-
dc.description.abstractWe use front tracking data structures and functions to model the dynamic evolution of fabric surface. We represent the fabric surface by a triangulated mesh with preset equilibrium side length. The stretching and wrinkling of the surface are modeled by the mass-spring system. The external driving force is added to the fabric motion through the "Impulse method" which computes the velocity of the point mass by superposition of momentum. The mass-spring system is a nonlinear ODE system. Added by the numerical and computational analysis, we show that the spring system has an upper bound of the eigen frequency. We analyzed the system by considering two spring models and we proved in one case that all eigenvalues are imaginary and there exists an upper bound for the eigen-frequency. This upper bound plays an important role in determining the numerical stability and accuracy of the ODE system. Based on this analysis, we analyzed the numerical accuracy and stability of the nonlinear spring mass system for fabric surface and its tangential and normal motion. We used the fourth order Runge-Kutta method to solve the ODE system and showed that the time step is linearly dependent on the mesh size for the system.en_US
dc.language.isoen_USen_US
dc.subjectFront trackingen_US
dc.subjectspring modelen_US
dc.subjecteigen frequencyen_US
dc.titleNumerical Method of Fabric Dynamics Using Front Tracking and Spring Modelen_US
dc.typeArticleen_US
dc.identifier.doi10.4208/cicp.120612.080313aen_US
dc.identifier.journalCOMMUNICATIONS IN COMPUTATIONAL PHYSICSen_US
dc.citation.volume14en_US
dc.citation.issue5en_US
dc.citation.spage1228en_US
dc.citation.epage1251en_US
dc.contributor.department數學建模與科學計算所(含中心)zh_TW
dc.contributor.departmentGraduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000322072000004-
dc.citation.woscount0-
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