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We propose a novel DNN based framework called the Enhanced Correlation Matching based Video Frame Interpolation Network to support high resolution like 4K, which has a large scale of motion and occlusion. Considering the extensibility of…

Computer Vision and Pattern Recognition · Computer Science 2021-11-18 Sungho Lee , Narae Choi , Woong Il Choi

A new approach for simulating flows over complex geometries is developed by introducing an accurate virtual interpolation point scheme as well as a virtual local stencil approach. The present method is based on the concept of point…

Numerical Analysis · Mathematics 2014-02-05 Seong-Kwan Park , Gahyung Jo , Hi Jun Choe

This work presents a unified framework for the unsupervised prediction of physically plausible interpolations between two 3D articulated shapes and the automatic estimation of dense correspondence between them. Interpolation is modelled as…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Adam Hartshorne , Allen Paul , Tony Shardlow , Neill D. F. Campbell

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 completely different approaches widely used in various applications. The…

Numerical Analysis · Mathematics 2019-08-14 Ronit Kumar , Lidong Cheng , Bin Xie , Feng Xiao

This study proposes an algorithm for modeling compressible flows in spherical shells in nearly incompressible and weakly compressible regimes based on an implicit direction splitting approach. The method retains theoretically expected…

Numerical Analysis · Mathematics 2021-04-21 Roman Frolov , Peter Minev , Aziz Takhirov

In this article, the construction and implementation of a seventh order weighted essentially non-oscillatory scheme is reported for hyperbolic conservation laws. Local smoothness indicators are constructed based on $L_{1}$-norm, where a…

Numerical Analysis · Mathematics 2016-11-22 Samala Rathan , G Naga Raju

Compressible interfacial multiphase flows (CIMF) are essential to different applications, such as liquid fuel injection in supersonic propulsion systems. Since high-level details in CIMF are often difficult to measure in experiments,…

Fluid Dynamics · Physics 2023-11-16 Bo Zhang , Bradley Boyd , Yue Ling

In this exploratory study, we apply shock-capturing schemes within the framework of the Particles on Demand kinetic model to simulate compressible flows with mild and strong shock waves and discontinuities. The model is based on the…

Fluid Dynamics · Physics 2022-07-20 Ehsan Reyhanian , Benedikt Dorschner , Ilya Karlin

In this paper we analyze the weighted essentially non-oscillatory (WENO) schemes in the finite volume framework by examining the first step of the explicit third-order total variation diminishing Runge-Kutta method. The rationale for the…

Numerical Analysis · Mathematics 2024-03-14 Xinjuan Chen , Jiaxi Gu , Jae-Hun Jung

This paper presents a Weakly Compressible Smoothed Particle Hydrodynamics (WCSPH) method for solving the two-equation Reynolds-Averaged Navier-Stokes (RANS) model. The turbulent wall-bounded flow with or without mild flow separation, a…

Fluid Dynamics · Physics 2025-01-31 Feng Wang , Zhongguo Sun , Xiangyu Hu

We introduce a novel artificial compressibility technique to approximate the incompressible Navier-Stokes equations with variable fluid properties such as density and dynamical viscosity. The proposed scheme used the couple pressure and…

Numerical Analysis · Mathematics 2025-04-22 Cappanera Loic , Giordano Salvatore

A general framework for the development of high-order compact schemes has been proposed recently. The core steps of the schemes are composed of the following. 1). Based on a kinetic model equation, from a generalized initial distribution of…

Fluid Dynamics · Physics 2022-08-25 Fengxiang Zhao , Xing Ji , Wei Shyy , Kun Xu

The majority of available numerical algorithms for interfacial two-phase flows either treat both fluid phases as incompressible (constant density) or treat both phases as compressible (variable density). This presents a limitation for the…

Computational Physics · Physics 2022-01-20 Fabian Denner , Berend van Wachem

Accurate interpolation of seismic data is crucial for improving the quality of imaging and interpretation. In recent years, deep learning models such as U-Net and generative adversarial networks have been widely applied to seismic data…

We show existence and uniqueness of strong solutions to a Navier-Stokes/Cahn-Hilliard type system on a given two-dimensional evolving surface in the case of different densities and a singular (logarithmic) potential. The system describes a…

Analysis of PDEs · Mathematics 2024-08-15 Helmut Abels , Harald Garcke , Andrea Poiatti

High order schemes are known to be unstable in the presence of shock discontinuities or under-resolved solution features for nonlinear conservation laws. Entropy stable schemes address this instability by ensuring that physically relevant…

Numerical Analysis · Mathematics 2024-01-12 Jesse Chan , Khemraj Shukla , Xinhui Wu , Ruofeng Liu , Prani Nalluri

We propose a simple yet effective local smoothness indicator for the downwind stencil in central-upwind weighted essentially non-oscillatory (WENO) schemes of even order for hyperbolic conservation laws. Starting from an odd-order upwind…

Numerical Analysis · Mathematics 2026-03-30 Jiaxi Gu , Bao-Shan Wang , Wai Sun Don , Jae-Hun Jung

Based on the solution formula method, a series of one-step fully-discrete schemes, such as FWENO/Full-WENO has been proposed. Storing the by-products conservative variables at the half points (grid center) and using them as interpolation…

Numerical Analysis · Mathematics 2024-08-21 Tong Zhou , Haitao Dong , Shucheng Pan

A two-phase, low-Mach-number flow solver is created and verified for variable-density liquid and gas with phase change. The interface is sharply captured using a split Volume-of-Fluid method generalized for a non-divergence-free liquid…

Fluid Dynamics · Physics 2022-06-08 Jordi Poblador-Ibanez , William A. Sirignano

Scene flow estimation, which predicts the 3D motion of scene points from point clouds, is a core task in autonomous driving and many other 3D vision applications. Existing methods either suffer from structure distortion due to ignorance of…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Yun Wang , Cheng Chi , Xin Yang