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We derive a hyperbolic system of equations approximating the two-layer dispersive shallow water model for shear flows recently proposed by Gavrilyuk, Liapidevskii \& Chesnokov (J. Fluid Mech., vol. 808, 2016, pp. 441--468). The use of this…

流体动力学 · 物理学 2019-05-02 Alexander Chesnokov , Trieu Nguyen

Modelling sediment transport in environmental turbulent fluids is a challenge. This article develops a sound model of the lateral transport of suspended sediment in environmental fluid flows such as floods and tsunamis. The model is…

动力系统 · 数学 2014-07-08 Meng Cao , A. J. Roberts

We introduce a new class of Green-Naghdi type models for the propagation of internal waves between two (1+1)-dimensional layers of homogeneous, immiscible, ideal, incompressible, irrotational fluids, vertically delimited by a flat bottom…

偏微分方程分析 · 数学 2021-10-01 Vincent Duchêne , Samer Israwi , Raafat Talhouk

For the mathematical modeling of highly non-equilibrium and nonlinear processes in a tornado in this paper a new approach based on nonlinear equations of momentum transfer with function of sources and sinks is suggested. In constructing the…

数学物理 · 物理学 2012-04-30 G. P. Bystrai , I. A Lykov

This article presents a multi-physics methodology for the numerical simulation of physical systems that involve the non-linear interaction of multi-phase reactive fluids and elastoplastic solids, inducing high strain-rates and high…

计算物理 · 物理学 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

Depth completion is a pivotal challenge in computer vision, aiming at reconstructing the dense depth map from a sparse one, typically with a paired RGB image. Existing learning based models rely on carefully prepared but limited data,…

计算机视觉与模式识别 · 计算机科学 2025-08-08 Shenglun Chen , Xinzhu Ma , Hong Zhang , Haojie Li , Zhihui Wang

We report water wave experiments performed in a long tank where we consider the evolution of nonlinear deep-water surface gravity waves with the envelope in the form of a large-scale rectangular barrier. Our experiments reveal that, for a…

In recent years two nonlinear dispersive partial differential equations have attracted a lot of attention due to their integrable structure. We prove that both equations arise in the modeling of the propagation of shallow water waves over a…

偏微分方程分析 · 数学 2009-11-13 Adrian Constantin , David Lannes

Modeling unresolved turbulence in astrophysical gasdynamic simulations can improve the modeling of other subgrid processes dependent on the turbulent structure of gas: from flame propagation in the interiors of combusting white dwarfs to…

星系天体物理 · 物理学 2025-11-19 Vadim A. Semenov

Dispersive shock waves (DSW) are a salient feature of long water waves often observed in tidal bores and tsunami/meteotsunami contexts. Their interaction with bathymetry is poorly understood. The shoreline hazard from tsunamis and…

流体动力学 · 物理学 2024-02-13 Alex. Sheremet , Victor I. Shrira

In marine towed-streamer seismic acquisition, the nearest hydrophone is often two hundred meter away from the source resulting in missing near-offset traces, which degrades critical processing workflows such as surface-related multiple…

地球物理 · 物理学 2026-02-03 Shijun Cheng , Tariq Alkhalifah

In most classical approaches of computational geophysics for seismic wave propagation problems, complex surface topography is either accounted for by boundary-fitted unstructured meshes, or, where possible, by mapping the complex…

We present OBMeshfree, an Optimization-Based Meshfree solver for compactly supported nonlocal integro-differential equations (IDEs) that can describe material heterogeneity and brittle fractures. OBMeshfree is developed based on a…

数值分析 · 数学 2022-11-29 Yiming Fan , Huaiqian You , Yue Yu

Deep learning models have achieved remarkable progress in precipitation prediction. However, they still face significant challenges in accurately capturing spatial details of radar images, particularly in regions of high precipitation…

计算机视觉与模式识别 · 计算机科学 2025-03-26 Li Chaorong , Ling Xudong , Yang Qiang , Qin Fengqing , Huang Yuanyuan

Physical systems with complex unsteady dynamics, such as fluid flows, are often poorly represented by a single mean solution. For many practical applications, it is crucial to access the full distribution of possible states, from which…

计算物理 · 物理学 2025-04-07 Mario Lino , Tobias Pfaff , Nils Thuerey

We present a new finite volume scheme for anisotropic heterogeneous diffusion problems on unstructured irregular grids, which simultaneously gives an approximation of the solution and of its gradient. In the case of simplicial meshes, the…

数值分析 · 数学 2016-08-16 Jérôme Droniou , Robert Eymard

A slowly-varying or thin-layer multiscale assumption empowers macroscale understanding of many physical scenarios from dispersion in pipes and rivers, including beams, shells, and the modulation of nonlinear waves, to homogenisation of…

动力系统 · 数学 2020-01-22 A. J. Roberts

We present results of direct numerical simulation of incompressible fluid flow over a thick bed of mobile, spherically-shaped particles. The algorithm is based upon the immersed boundary technique for fluid-solid coupling and uses a…

流体动力学 · 物理学 2014-06-03 Aman G. Kidanemariam , Markus Uhlmann

The multiscale nature of turbulent combustion necessitates accurate and computationally efficient methods for direct numerical simulations (DNS). The field has long been dominated by high-order finite differences, which lack the flexibility…

流体动力学 · 物理学 2024-01-24 Jack R. C. King

In this article, we propose a novel conservative diffuse-interface method for the simulation of immiscible compressible two-phase flows. The proposed method discretely conserves the mass of each phase, momentum and total energy of the…

计算物理 · 物理学 2020-06-11 Suhas S. Jain , Ali Mani , Parviz Moin