TY - JOUR
T1 - Adaptive unstructured volume remeshing - II
T2 - Application to two- and three-dimensional level-set simulations of multiphase flow
AU - Zheng, Xiaoming
AU - Lowengrub, John
AU - Anderson, Anthony
AU - Cristini, Vittorio
N1 - Funding Information:
V.C. and J.L. acknowledge funding from the National Science Foundation – Division of Mathematical Sciences. J.L. also acknowledges funding from the Department of Energy – Division of Basic Energy Sciences. Part of this work is contained in AA’s undergraduate honors thesis (2004) at the University of Minnesota. A.A. acknowledges the Undergraduate Research Opportunity Program at U Minnesota for support. The authors also acknowledge the Minnesota Supercomputer Institute, and the Departments of Biomedical Engineering and Mathematics and the Network and Academic Computing Services, U C Irvine, for computing resources.
PY - 2005/9/20
Y1 - 2005/9/20
N2 - In Part I [Adaptive unstructured volume remeshing - I: The method, J. Comput. Phys., in press], we presented an adaptive remeshing algorithm that automatically adjusts the size of the elements of meshes of unstructured triangles (2D) and unstructured tetrahedra (3D) with time and position in the computational domain in order to efficiently resolve the relevant physical scales. Here, we illustrate the performance of an implementation of the algorithm in finite-element/level-set simulations of deformable droplet and fluid-fluid interface interactions, breakup and coalescence in multiphase flows. The wide range of length scales characterizing the dynamics are accurately resolved as demonstrated by comparison to experiments and to theoretical and sharp-interface (boundary-integral) numerical results. The computational cost is found to be competitive even with respect to boundary-integral methods. For the first time using an interface-capturing (level-set) method we successfully simulate the inertia driven impact and rebound of a liquid droplet from a liquid interface and find agreement with recent experimental results.
AB - In Part I [Adaptive unstructured volume remeshing - I: The method, J. Comput. Phys., in press], we presented an adaptive remeshing algorithm that automatically adjusts the size of the elements of meshes of unstructured triangles (2D) and unstructured tetrahedra (3D) with time and position in the computational domain in order to efficiently resolve the relevant physical scales. Here, we illustrate the performance of an implementation of the algorithm in finite-element/level-set simulations of deformable droplet and fluid-fluid interface interactions, breakup and coalescence in multiphase flows. The wide range of length scales characterizing the dynamics are accurately resolved as demonstrated by comparison to experiments and to theoretical and sharp-interface (boundary-integral) numerical results. The computational cost is found to be competitive even with respect to boundary-integral methods. For the first time using an interface-capturing (level-set) method we successfully simulate the inertia driven impact and rebound of a liquid droplet from a liquid interface and find agreement with recent experimental results.
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U2 - 10.1016/j.jcp.2005.02.024
DO - 10.1016/j.jcp.2005.02.024
M3 - Article
AN - SCOPUS:19744364600
VL - 208
SP - 626
EP - 650
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
IS - 2
ER -