Simulation of hyperbolic mean curvature flow with an obstacle in the closed curve

Vita Kusumasari; Muhammad Fauzan Edy Purnomo; Tjang Daniel Chandra; Lucky Tri Oktoviana; Mohammad Agung

doi:10.1063/5.0000660

← Back to search

Simulation of hyperbolic mean curvature flow with an obstacle in the closed curve

Closed

Vita Kusumasari, Muhammad Fauzan Edy Purnomo, Tjang Daniel Chandra, Lucky Tri Oktoviana, Mohammad Agung

2020 AIP Conference Proceedings Vol. 2215 Conference paper Cited by 1 SDG 16

Abstract

The Hyperbolic MBO (HMBO) algorithm has been modified to handle the problem of obstacle. In this paper, we use this algorithm to simulate the movement of interface regarding the curvature dependent acceleration. The initial curve and the obstacle are considered as closed curves. The obstacle is placed within the initial curve. We examine the curve movement. In the obstacle problem, we obtain that the curve movement does not exceed the obstacle. After touching the obstacle, the curve attaches to it. © 2020 Author(s).

Affiliations

Mathematics Department, Faculty of Mathematics and Science, Universitas Negeri Malang, Jl. Semarang No. 5, Malang, Indonesia; Electrical Engineering Department, Faculty of Engineering, Brawijaya University, Jl. MT Haryono No. 167, Malang, Indonesia

View full text (DOI) →

Research at a Glance

Research at a Glance

Topics & SDG Alignment

Collaboration

Author Profile (Selected)

References Overview

Journal & Source

Metadata & Integrity