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We extend the unstructured LEvel set / froNT tracking (LENT) method for handling two-phase flows with strongly different densities (high-density ratios) by providing the theoretical basis for the numerical consistency between the mass and…

Fluid Dynamics · Physics 2024-03-18 Jun Liu , Tobias Tolle , Dieter Bothe , Tomislav Maric

Multiphase, compressible and viscous flows are of crucial importance in a wide range of scientific and engineering problems. Despite the large effort paid in the last decades to develop accurate and efficient numerical techniques to address…

Fluid Dynamics · Physics 2020-05-26 Federico Dalla Barba , Nicolò Scapin , Marco E. Rosti , Francesco Picano , Luca Brandt

We propose a simple modification of standard WENO finite volume methods for Cartesian grids, which retains the full spatial order of accuracy of the one-dimensional discretization when applied to nonlinear multidimensional systems of…

Numerical Analysis · Mathematics 2016-08-30 Pawel Buchmüller , Christiane Helzel

This paper proposes a novel method for tamper detection and recovery using semi-fragile data hiding, based on Lifting Wavelet Transform (LWT) and Feed-Forward Neural Network (FNN). In TRLF, first, the host image is decomposed up to one…

Cryptography and Security · Computer Science 2018-02-21 Behrouz Bolourian Haghighi , Amir Hossein Taherinia , Reza Monsefi

We present a machine learning framework that blends image super-resolution technologies with passive, scalar transport in the level-set method. Here, we investigate whether we can compute on-the-fly, data-driven corrections to minimize…

Machine Learning · Computer Science 2022-09-29 Luis Ángel Larios-Cárdenas , Frédéric Gibou

Accurate representation of interfaces and flux exchange is vital for coupled multiphysics simulations across a broad range of applications. Currently, coupling approaches are limited by the underlying discretization or to specific physical…

Fluid Dynamics · Physics 2026-03-10 Ethan Huff , Savio J. Poovathingal

In this work, we propose a numerical approach for simulations of large deformations of interfaces in a level set framework. To obtain a fast and viable numerical solution in both time and space, temporal discretization is based on the…

General Mathematics · Mathematics 2023-05-30 Aymen Laadhari , Ahmad Deeb

The present study proposes a new efficient and robust algorithm for multi-objectives topology optimization of heat transfer surfaces to achieve heat transfer enhancement with a less pressure drop penalty based on a continuous adjoint…

Fluid Dynamics · Physics 2023-09-14 Di Chen , Prashant Kumar , Yukinori Kametani , Yosuke Hasegawa

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…

Computational Physics · Physics 2025-01-08 Tomislav Maric

In this work, a numerical scheme based on a level-set immersed boundary method is employed for the numerical simulation of the flow around two tandem circular cylinders in the subcritical flow regimes. Three different spacing ratios…

Fluid Dynamics · Physics 2022-06-07 Radouan Boukharfane

We introduce and analyze a lower envelope method (LEM) for the tracking of interfaces motion in multiphase problems. The main idea of the method is to define the phases as the regions where the lower envelope of a set of functions coincides…

Numerical Analysis · Mathematics 2021-12-07 Antoine Laurain

This paper advances the use of physics-informed neural networks (PINNs) architectures to address moving interface problems via the level set method. Originally developed for other PDE-based problems, we particularly leverage PirateNet's…

Computational Physics · Physics 2025-07-08 Mathieu Mullins , Hamza Kamil , Adil Fahsi , Azzeddine Soulaimani

The level set method commonly requires a reinitialization of the level set function due to interface motion and deformation. We extend the traditional technique for reinitializing the level set function to a method that preserves the…

Numerical Analysis · Mathematics 2017-03-13 Lei Li , Xiaoqian Xu , Saverio E. Spagnolie

Learned image compression (LIC) methods have exhibited promising progress and superior rate-distortion performance compared with classical image compression standards. Most existing LIC methods are Convolutional Neural Networks-based…

Image and Video Processing · Electrical Eng. & Systems 2023-03-28 Jinming Liu , Heming Sun , Jiro Katto

This paper concerns the numerical approximation of the Euler equations for multicomponent flows. A numerical method is proposed to reduce spurious oscillations that classically occur around material interfaces. It is based on the "Explicit…

Classical Physics · Physics 2007-05-23 Bruno Lombard , Rosa Donat

In this paper we propose a high-order accurate scheme for image segmentation based on the level-set method. In this approach, the curve evolution is described as the 0-level set of a representation function but we modify the velocity that…

Numerical Analysis · Mathematics 2020-01-08 Maurizio Falcone , Giulio Paolucci , Silvia Tozza

This article presents a higher-order spectral element method for the two-dimensional Stokes interface problem involving a piecewise constant viscosity coefficient. The proposed numerical formulation is based on least-squares formulation.…

Numerical Analysis · Mathematics 2025-08-14 Kishore Kumar Naraparaju , Shivangi Joshi , Subhashree Mohapatra

Robust local feature representations are essential for spatial intelligence tasks such as robot navigation and augmented reality. Establishing reliable correspondences requires descriptors that provide both high discriminative power and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Haodi Yao , Fenghua He , Ning Hao , Yao Su

Image-based geometric modeling and novel view synthesis based on sparse, large-baseline samplings are challenging but important tasks for emerging multimedia applications such as virtual reality and immersive telepresence. Existing methods…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Wenpeng Xing , Jie Chen , Zaifeng Yang , Qiang Wang

We propose an efficient numerical method for the simulation of multi-phase flows with moving contact lines in three dimensions. The mathematical model consists of the incompressible Navier-Stokes equations for the two immiscible fluids with…

Fluid Dynamics · Physics 2023-02-08 Quan Zhao , Shixin Xu , Weiqing Ren