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For explicit interface tracking in three dimensions, we propose a linear MARS method that (a) represents the interface by a partially ordered set of glued surfaces and approximates each glued surface with a triangular mesh, (b) maintains an…

数值分析 · 数学 2025-12-12 Yunhao Qiu , Qinghai Zhang

We present the first triangle mesh-based technique for tracking the evolution of general three-dimensional multimaterial interfaces undergoing complex topology changes induced by deformations and collisions. Our core representation is a…

图形学 · 计算机科学 2014-01-22 Fang Da , Christopher Batty , Eitan Grinspun

This paper presents a simple and highly accurate method for capturing sharp interfaces moving in divergence-free velocity fields using the high-order Flux Reconstruction approach on unstructured grids. A well-known limitation of high-order…

计算物理 · 物理学 2020-06-22 Jabir Al Salami , Mohamed M. Kamra , Changhong Hu

The handling of topology changes in two-phase flows, such as breakup or coalescence of interfaces, with front tracking is a well-known problem that requires an additional effort to perform explicit manipulations of the Lagrangian front. In…

流体动力学 · 物理学 2025-09-04 Gabriele Gennari , Christian Gorges , Fabian Denner , Berend van Wachem

In many applications of advanced robotic manipulation, six degrees of freedom (6DoF) object pose estimates are continuously required. In this work, we develop a multi-modality tracker that fuses information from visual appearance and…

计算机视觉与模式识别 · 计算机科学 2023-02-23 Manuel Stoiber , Mariam Elsayed , Anne E. Reichert , Florian Steidle , Dongheui Lee , Rudolph Triebel

This paper introduces a volume-conserving interface tracking algorithm on unstructured triangle meshes. We propose to discretize the interface via triangle edge cuts which represent the intersections between the interface and the triangle…

图形学 · 计算机科学 2024-10-21 Mengdi Wang , Matthew Cong , Bo Zhu

The main focus of this paper is a nonparametric filtering technique for the estimation of interface geometry in bulk materials obtainable from modern imaging measurements. The filtering methodology relies on an assumed hierarchy of…

材料科学 · 物理学 2017-12-01 Siddharth Maddali , Shlomo Ta'asan , Robert M. Suter

Including terrain in atmospheric models gives rise to mesh distortions near the lower boundary that can degrade accuracy and challenge the stability of transport schemes. Multidimensional transport schemes avoid splitting errors on…

数值分析 · 数学 2017-05-24 James Shaw , Hilary Weller , John Methven , Terry Davies

We present a novel interface-capturing scheme, THINC-scaling, to unify the VOF (volume of fluid) and the level set methods, which have been developed as two different approaches widely used in various applications. The key to success is to…

数值分析 · 数学 2021-04-14 Ronit Kumar , Lidong Cheng , Yunong Xiong , Bin Xie , Remi Abgrall , Feng Xiao

A straightforward and computationally efficient Consecutive Cubic Spline (CCS) iterative algorithm is proposed for positioning the planar interface of the unstructured geometrical Volume-of-Fluid method in arbitrarily-shaped cells. The CCS…

计算物理 · 物理学 2025-01-08 Tomislav Maric

We revisit simple algebraic VOF methods for advection of material interfaces based of the well established TVD paradigm. We show that greatly improved representation of contact discontinuities is obtained through use of a novel…

计算物理 · 物理学 2019-03-29 Sergio Pirozzoli , Simone Di Giorgio , Alessandro Iafrati

Second order accurate Cartesian grid methods have been well developed for interface problems in the literature. However, it is challenging to develop third or higher order accurate methods for problems with curved interfaces and internal…

数值分析 · 数学 2022-06-14 Zhilin Li , Kejia Pan , Juan Ruiz

We demonstrate a method to optically map multiple modes of mechanical structures simultaneously. The fast and robust method, based on a modified phase-lock-loop, is demonstrated on a silicon nitride membrane and compared with three…

Multiphase flow in porous media underpins subsurface energy and environmental technologies, including geological CO$_2$ storage and underground hydrogen storage, yet pore-scale dynamics in realistic three-dimensional materials remain…

In this paper, we propose a simple and accurate numerical method for capturing moving interfaces on fixed Eulerian grids by coupling the Tangent of Hyperbola Interface Capturing (THINC) method and Level Set (LS) method. The innovative and…

计算物理 · 物理学 2018-08-01 Longgen Qian , Yanhong Wei , Feng Xiao

Three-phase multiphase flows are found in an extraordinarily large number of applications. Often those involve a liquid phase and a gas phase in addition to a third phase that consists of either liquid drops or solid particles, suspended in…

流体动力学 · 物理学 2024-12-11 Lei Zeng , Hamideh Rouhanitazangi , Xianyang Chen , Jiacai Lu , Gretar Tryggvason

A novel interface reconstruction strategy for volume of fluid (VOF) methods is introduced that represents the liquid-gas interface as two planes that co-exist within a single computational cell. In comparison to the piecewise linear…

流体动力学 · 物理学 2024-03-19 Austin Han , Robert Chiodi , Olivier Desjardins

The use of continuum phase-field models to describe the motion of well-defined interfaces is discussed for a class of phenomena, that includes order/disorder transitions, spinodal decomposition and Ostwald ripening, dendritic growth, and…

软凝聚态物质 · 物理学 2009-10-31 K. R. Elder , Martin Grant , Nikolas Provatas , J. M. Kosterlitz

A new method for interface tracking is presented. The interface representation, based on domain decomposition, provides the interface location explicitly, yet is Eulerian. This allows for well established finite difference methods on…

流体动力学 · 物理学 2013-02-20 Dag Lindbo , Anna-Karin Tornberg

We present and analyze a variational front-tracking method for a sharp-interface model of multiphase flow. The fluid interfaces between different phases are represented by curve networks in two space dimensions (2d) or surface clusters in…

数值分析 · 数学 2026-02-11 Harald Garcke , Robert Nürnberg , Quan Zhao
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