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We present an innovative numerical discretization of the equations of inviscid potential flow for the simulation of three dimensional unsteady and nonlinear water waves generated by a ship hull advancing in water. The equations of motion…

数值分析 · 数学 2013-02-06 Andrea Mola , Luca Heltai , Antonio DeSimone

This paper deals with fast simulations of the haemodynamics in large arteries by considering a reduced model of the associated fluid-structure interaction problem, which in turn allows an additional reduction in terms of the numerical…

数值分析 · 数学 2018-01-19 Claudia M. Colciago , Simone Deparis

An analysis of high-dimensional data can offer a detailed description of a system but is often challenged by the curse of dimensionality. General dimensionality reduction techniques can alleviate such difficulty by extracting a few…

统计方法学 · 统计学 2021-09-28 Di Bo , Hoon Hwangbo , Vinit Sharma , Corey Arndt , Stephanie C. TerMaath

Most engineering models contain several parameters, and the map from input parameters to model output can be viewed as a multivariate function. An active subspace is a low-dimensional subspace of the space of inputs that explains the…

数值分析 · 数学 2014-02-18 Paul G. Constantine

Global Sensitivity Analysis (GSA) methods are useful tools to rank input parameters uncertainties regarding their impact on result variability. In practice, such type of approach is still at an exploratory level for studies relying on 2D…

计算工程、金融与科学 · 计算机科学 2016-03-28 M Abily , N Bertrand , O Delestre , P Gourbesville , Y Richet , C. -M Duluc

Modeling of fluid flows requires corresponding adequate and effective approaches that would account for multiscale nature of the considered physics. Despite the tremendous growth of computational power in the past decades, modeling of fluid…

流体动力学 · 物理学 2025-06-24 Arsen S. Iskhakov , Nam T. Dinh

An investigation of the influence of the hydrofoil on load reduction performance during an amphibious aircraft landing on still and wavy water is conducted by solving the Unsteady Reynolds-Averaged Navier-Stokes equations coupled with the…

流体动力学 · 物理学 2023-11-15 Yujin Lu , Shuanghou Deng , Yuanhang Chen , Tianhang Xiao , Jichang Chen , Fan Liu , Sichen Song , Bin Wu

We present a numerical method for approximating the solutions of degenerate parabolic equations with a formal gradient flow structure. The numerical method we propose preserves at the discrete level the formal gradient flow structure,…

偏微分方程分析 · 数学 2016-02-11 Clément Cancès , Cindy Guichard

This article presents a general reduced order model (ROM) framework for addressing fluid dynamics problems involving time-dependent geometric parametrisations. The framework integrates Proper Orthogonal Decomposition (POD) and Empirical…

流体动力学 · 物理学 2024-05-07 J. R. Bravo , G. Stabile , M. Hess , J. A. Hernandez , R. Rossi , G. Rozza

Fish swim by undulating their bodies. These propulsive motions require coordinated shape changes of a body that interacts with its fluid environment, but the specific shape coordination that leads to robust turning and swimming motions…

定量方法 · 定量生物学 2021-05-19 Yusheng Jiao , Feng Ling , Sina Heydari , Nicolas Heess , Josh Merel , Eva Kanso

Numerical simulations on fluid dynamics problems primarily rely on spatially or/and temporally discretization of the governing equation into the finite-dimensional algebraic system solved by computers. Due to complicated nature of the…

计算物理 · 物理学 2021-07-23 Luning Sun , Han Gao , Shaowu Pan , Jian-Xun Wang

This paper describes the results from a numerical estimation of the force exerted by long surface waves on a fixed and partially immersed rectangular structure. The topic is connected with the need of making decisions on the design,…

流体动力学 · 物理学 2021-01-22 Oleg Gusev , Gayaz Khakimzyanov , Leonid Chubarov

We present a new methodology for simulating self-gravitating general-relativistic fluids. In our approach the fluid is modelled by means of Lagrangian particles in the framework of a general-relativistic (GR) Smooth Particle Hydrodynamics…

广义相对论与量子宇宙学 · 物理学 2025-06-12 S. Rosswog , P. Diener

A common workflow for many engineering design problems requires the evaluation of the design system to be investigated under a range of conditions. These conditions usually involve a combination of several parameters. To perform a complete…

计算工程、金融与科学 · 计算机科学 2020-09-18 J. H. Gaspar Elsas , N. A. G. Casaprima , I. F. M. Menezes

We address the question of parameterizing the subgrid scales in simulations of geophysical flows by applying stochastic mode reduction to the one-dimensional stochastically forced shallow water equations. The problem is formulated in…

流体动力学 · 物理学 2018-08-17 Matthias Zacharuk , Stamen I. Dolaptchiev , Ulrich Achatz , Ilya Timofeyev

A fundamental difficulty of studying gas-liquid pipe flows is the prediction of the occurrence and characteristics of the slug flow regime, which plays a crucial role in the safety design of oil pipelines. Current empirical methods and…

流体动力学 · 物理学 2024-05-24 Massoud Rezavand , Xiangyu Hu

We consider the free fall of slender rigid bodies in a viscous incompressible fluid. We show that the dimensional reduction (DR), performed by substituting the slender bodies with one-dimensional rigid objects, together with a hyperviscous…

数学物理 · 物理学 2016-03-23 Giulio G. Giusteri , Alfredo Marzocchi , Alessandro Musesti

Diffuse-interface theory provides a foundation for the modeling and simulation of microstructure evolution in a very wide range of materials, and for the tracking/capturing of dynamic interfaces between different materials on larger scales.…

计算物理 · 物理学 2018-08-03 Zhijie Xu , Paul Meakin , Alexandre Tartakovsky

In situations where the solution of a high-fidelity dynamical system needs to be evaluated repeatedly, over a vast pool of parametric configurations and in absence of access to the underlying governing equations, data-driven model reduction…

数值分析 · 数学 2025-06-27 Harshit Kapadia , Peter Benner , Lihong Feng

The standard analytical approach for studying gravity free-surface waves generated by a moving body often relies upon a linearization of the physical geometry, where the body is considered asymptotically small in one or several of its…

流体动力学 · 物理学 2016-09-28 Philippe H. Trinh