High Order Anchoring and Reinitialization of Level Set Function for Simulating Interface Motion

Ramanuj, Vimal; Sankaran, Ramanan

doi:10.1007/s10915-019-01076-0

Title: High Order Anchoring and Reinitialization of Level Set Function for Simulating Interface Motion

Journal Article · Sat Nov 02 00:00:00 EDT 2019 · Journal of Scientific Computing

DOI:https://doi.org/10.1007/s10915-019-01076-0· OSTI ID:1607256

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Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

A second order interface anchoring method has been developed and used with fast sweeping algorithm for reinitialization of a level set function. The algebraic anchoring formulation ensures that the location of the actual interface is preserved, leading to better mass conservation property. It also provides high order accurate algebraic constraint for solving the Eikonal equation on a finite difference grid. Geometric properties of the interface such as surface normal and curvature are subsequently computed from the reinitialized distance function. Various analytical functions for modeling distortion in level set field are considered and accuracy of reinitialization is evaluated using first and second order anchoring schemes. It is also shown that accurate computation of interface curvature requires a high order anchor in addition to a high order fast sweeping method. Mass conservation property of reinitialization is also analyzed by considering test problems from literature including the classic Rider–Kothe single vortex problem. The formulation is suitable for efficient parallelization for both distributed memory and on-node shared memory parallel systems. In conclusion, scalability and performance of the reinitialization scheme on multiple architectures are demonstrated.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Energy Efficiency and Renewable Energy (EERE)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1607256

Journal Information:: Journal of Scientific Computing, Vol. 81, Issue 3; ISSN 0885-7474

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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