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Pure advection of a conservative scalar is relevant to several applications including two-phase flow. Successful numerical schemes must capture the sharp interface between the phases while maintaining a smooth (wrinkle-free) interfacial…

Fluid Dynamics · Physics 2018-11-27 Yashar Mehmani

The paper develops a method for the numerical simulation of a free-surface flow of incompressible viscous fluid around a streamlined body. The body is a rigid stationary construction partially submerged in the fluid. The application we are…

Learned image compression (LIC) methods often employ symmetrical encoder and decoder architectures, evitably increasing decoding time. However, practical scenarios demand an asymmetric design, where the decoder requires low complexity to…

Image and Video Processing · Electrical Eng. & Systems 2024-12-24 Shen Wang , Zhengxue Cheng , Donghui Feng , Guo Lu , Li Song , Wenjun Zhang

In this study, a new framework of constructing very high order discontinuity-capturing schemes is proposed for finite volume method. These schemes, so-called $\mathrm{P}_{n}\mathrm{T}_{m}-\mathrm{BVD}$ (polynomial of $n$-degree and THINC…

Computational Physics · Physics 2018-11-21 Xi Deng , Yuya Shimizu , Feng Xiao

A method is proposed to estimate the velocity field of an unsteady flow using a limited number of flow measurements. The method is based on a non-linear low-dimensional model of the flow and on expanding the velocity field in terms of…

Optimization and Control · Mathematics 2009-11-13 Marcelo Buffoni , Simone Camarri , Angelo Iollo , Edoardo Lombardi , Maria-Vittoria Salvetti

We present and analyze a penalization method wich extends the the method of [1] to the case of a rigid body moving freely in an incompressible fluid. The fluid-solid system is viewed as a single variable density flow with an interface…

Analysis of PDEs · Mathematics 2009-01-15 Claire Bost , Georges-Henri Cottet , Emmanuel Maitre

In this paper we present a novel algorithm for simulating geometrical flows, and in particular the Willmore flow, with conservation of volume and area. The idea is to adapt the class of diffusion-redistanciation algorithms to the Willmore…

Numerical Analysis · Mathematics 2021-08-30 Thibaut Metivet , Arnaud Sengers , Mourad Ismaïl , Emmanuel Maitre

We propose a novel end-to-end deep scene flow model, called PointPWC-Net, on 3D point clouds in a coarse-to-fine fashion. Flow computed at the coarse level is upsampled and warped to a finer level, enabling the algorithm to accommodate for…

Computer Vision and Pattern Recognition · Computer Science 2020-08-03 Wenxuan Wu , Zhiyuan Wang , Zhuwen Li , Wei Liu , Li Fuxin

To address computational challenges associated with power flow nonconvexities, significant research efforts over the last decade have developed convex relaxations and approximations of optimal power flow (OPF) problems. However, benefits…

Systems and Control · Electrical Eng. & Systems 2023-02-24 Babak Taheri , Daniel K. Molzahn

In this paper, we propose an improved phase field model for interface capturing in simulating two-phase incompressible flows. The model incorporates a second-order diffusion term, which utilizes a nonlinear coefficient to assess the degree…

Fluid Dynamics · Physics 2025-01-20 Jing-Wei Chen , Chun-Yu Zhang , Hao-Ran Liu , Hang Ding

We derive and analyze a simplified formulation of the numerical viscosity terms appearing in the expression of the numerical fluxes associated to several High-Resolution Shock-Capturing schemes. After some algebraic pre-processing, we give…

Astrophysics · Physics 2009-10-31 M. A. Aloy , J. A. Pons , J. M. Ibanez

A numerical algorithm for solving mantle convection problems with strongly variable viscosity is presented. Equations for conservation of mass and momentum for highly viscous and incompressible fluids are solved iteratively by a multigrid…

Geophysics · Physics 2009-11-10 Masanori Kameyama , Akira Kageyama , Tetsuya Sato

Viscous streaming is an efficient rectification mechanism to exploit flow inertia at small scales for fluid and particle manipulation. It typically entails a fluid vibrating around an immersed solid feature that, by concentrating stresses,…

Fluid Dynamics · Physics 2024-11-20 Songyuan Cui , Yashraj Bhosale , Mattia Gazzola

High-intensity laser plasma interactions create complex computational problems because they involve both fluid and kinetic regimes, which need models that maintain physical precision while keeping computational speed. The research…

Plasma Physics · Physics 2025-10-14 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

3D semantic occupancy and flow prediction are fundamental to spatiotemporal scene understanding. This paper proposes a vision-based framework with three targeted improvements. First, we introduce an occlusion-aware adaptive lifting…

Computer Vision and Pattern Recognition · Computer Science 2025-09-11 Dubing Chen , Jin Fang , Wencheng Han , Xinjing Cheng , Junbo Yin , Chenzhong Xu , Fahad Shahbaz Khan , Jianbing Shen

Particle Image Velocimetry (PIV) typically relies on cross-correlation,which makes it difficult to obtain instantaneous velocity fields that are both spatially dense and available in real time at high acquisition rates. Optical Flow…

Fluid Dynamics · Physics 2026-05-22 Juan Pimienta , Jean-Luc Aider

Scene flow characterizes the 3D motion between two LiDAR scans captured by an autonomous vehicle at nearby timesteps. Prevalent methods consider scene flow as point-wise unconstrained flow vectors that can be learned by either large-scale…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Yancong Lin , Holger Caesar

Power flow feasibility assessment is computationally challenging for unbalanced three-phase distribution networks. This paper develops a vectorized semidefinite program (SDP) based on the bus injection model (BIM) and reformulates its dual…

Optimization and Control · Mathematics 2026-05-26 Bohang Fang , Lijun Ding , Cong Chen

We present a compact but effective CNN model for optical flow, called PWC-Net. PWC-Net has been designed according to simple and well-established principles: pyramidal processing, warping, and the use of a cost volume. Cast in a learnable…

Computer Vision and Pattern Recognition · Computer Science 2018-06-27 Deqing Sun , Xiaodong Yang , Ming-Yu Liu , Jan Kautz

In many applications it is important to estimate a fluid flow field from limited and possibly corrupt measurements. Current methods in flow estimation often use least squares regression to reconstruct the flow field, finding the…

Fluid Dynamics · Physics 2019-11-06 Jared Callaham , Kazuki Maeda , Steven L. Brunton