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Convection schemes are a large source of error in global weather and climate models, and modern resolutions are often too fine to parameterise convection but are still too coarse to fully resolve it. Recently, numerical solutions of…

数值分析 · 数学 2020-06-24 William A McIntyre , Hilary Weller , Christopher E Holloway

The semi-analytical wall boundary conditions present a mathematically rigorous framework to prescribe the influence of solid walls in SPH for fluid flows. In this paper they are investigated with respect to the skew-adjoint property which…

流体动力学 · 物理学 2015-06-15 Arno Mayrhofer , Benedict D. Rogers , Damien Violeau , Martin Ferrand

The present paper is dedicated to the development of a numerical model for the water impact of two-dimensional (2D) and axisymmetric bodies with imposed motion. The work is a first step towards the implementation of a 2D+t procedure to be…

流体动力学 · 物理学 2021-05-24 Alessandro Del Buono , Giovanni Bernardini , Alan Tassin , Alessandro Iafrati

The present work focuses on the numerical approximation of the weak solutions of the shallow water model over a non-flat topography. In particular, we pay close attention to steady solutions with nonzero velocity. The goal of this work is…

数值分析 · 数学 2025-01-08 Christophe Berthon , Victor Michel-Dansac

This paper studies the semi-analytic solution (SAS) of a power system's differential-algebraic equation. A SAS is a closed-form function of symbolic variables including time, the initial state and the parameters on system operating…

动力系统 · 数学 2017-02-09 Nan Duan , Kai Sun

The shallow water system with a bed jump describes a fluid flow over a dam, represented by a simple step function with the Riemann initial data is such that the vacuum is on the right-hand side. The main question is whether the fluid will…

偏微分方程分析 · 数学 2025-06-17 Dalal Daw , Marko Nedeljkov , Sanja Ružičić

Shallow water equations (SWE) are fundamental nonlinear hyperbolic PDE-based models in fluid dynamics that are essential for studying a wide range of geophysical and engineering phenomena. Therefore, stable and accurate numerical methods…

数值分析 · 数学 2024-12-24 Yekaterina Epshteyn , Akil Narayan , Yinqian Yu

We present turbulent Schmidt number Sc_t estimations above three-dimensional urban canopies, where Sc_t is a property of the flow defined as the ratio of the eddy diffusivity of momentum (K_M) to the eddy diffusivity of mass (D_t). Despite…

流体动力学 · 物理学 2020-01-30 Annalisa Di Bernardino , Paolo Monti , Giovanni Leuzzi , Giorgio Querzoli

Flows in rivers can be strongly affected by obstacles to flow or artificial structures such as bridges, weirs and dams. This is especially true during floods, where significant backwater effects or diversion of flow out of bank can result.…

流体动力学 · 物理学 2022-07-08 J. Mckenna , V. Glenis , C. Kilsby

We combine non-hydrostatic flow simulations of the free surface with a discharge model based on elementary gate flow equations for decision support in operation of hydraulic structure gates. A water level-based gate control used in most of…

计算工程、金融与科学 · 计算机科学 2014-01-31 C. D. Erdbrink , V. V. Krzhizhanovskaya , P. M. A. Sloot

Blood flow, dam or ship construction and numerous other problems in biomedical and general engineering involve incompressible flows interacting with elastic structures. Such interactions heavily influence the deformation and stress states…

计算工程、金融与科学 · 计算机科学 2021-12-17 R. Schussnig , D. R. Q. Pacheco , T. -P. Fries

The collision of a gravitationally-driven horizontal current with a barrier following release from a confining lock is investigated using a shallow water model of the motion, together with a sophisticated boundary condition capturing the…

流体动力学 · 物理学 2023-04-19 Edward W. G. Skevington , Andrew J. Hogg

We develop a semi-implicit algorithm for time-accurate simulation of the compressible Navier-Stokes equations, with special reference to wall-bounded flows. The method is based on linearization of the partial convective fluxes associated…

流体动力学 · 物理学 2016-08-31 Davide Modesti , Sergio Pirozzoli

In this work we study the dynamic behaviour of compound shells of revolution partially filled with an ideal incompressible fluid based on boundary-value problems. New analytical mathematical model with corresponding discrete scheme for the…

计算工程、金融与科学 · 计算机科学 2016-06-15 Iryna Kononenko , Oleksiy Kononenko

Existing numerical models of the swash zone are relatively inflexible in dealing with sediment transport due to a high dependence of the deployed numerical schemes on empirical sediment transport relations. Moreover, these models are…

大气与海洋物理 · 物理学 2015-09-28 Peng Hu , Wei Li , Zhiguo He , Thomas Pähtz , Zhiyuan Yue

The shallow water equations often assume a constant velocity profile along the vertical axis. However, this assumption does not hold in many practical applications. To better approximate the vertical velocity distribution, models such as…

数值分析 · 数学 2025-10-06 Shiping Zhou , Juntao Huang , Andrew J. Christlieb

This work discusses the correct modeling of the fully nonlinear free surface boundary conditions to be prescribed in water waves flow simulations based on potential flow theory. The main goal of such a discussion is that of identifying a…

数值分析 · 数学 2023-06-06 Andrea Mola , Nicola Giuliani , Óscar Crego , Gianluigi Rozza

In this paper, we investigate steady states of shallow water moment equations including bottom topographies. We derive a new hyperbolic shallow water moment model based on linearized moment equations that allows for a simple assessment of…

偏微分方程分析 · 数学 2020-11-17 Julian Koellermeier , Ernesto Pimentel-Garcia

We consider the Shallow Water equations in the supercritical and subcritical cases in one space variable,posed in a finite spatial interval with characteristic boundary conditions at the endpoints, which, as is well known, are…

数值分析 · 数学 2016-03-01 D. C. Antonopoulos , V. A. Dougalis

Dam is built for water supply, water flow or flooding control and electricity energy storage, but in other hand, dam is one of the most dangerous natural disaster in many countries including in Indonesia. The impact of dam break in…

流体动力学 · 物理学 2013-09-17 Suprijadi , Ferry Faizal , Christian Naa , Anggy Trisnawan Putra