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We introduce a second-order numerical scheme for compressible atmospheric motions at small to planetary scales. The collocated finite volume method treats the advection of mass, momentum, and mass-weighted potential temperature in…

数值分析 · 数学 2020-01-08 Tommaso Benacchio , Rupert Klein

Certifying power flow solvability is important for reliable power system operations under volatile operating conditions, but solving power flow equations repeatedly can be costly and may encounter convergence issues. In this paper, we…

最优化与控制 · 数学 2026-05-26 Puskar Neupane , Bai Cui

This work presents a generalization of the Kraynik-Reinelt (KR) boundary conditions for nonequilibrium molecular dynamics simulations. In the simulation of steady, homogeneous flows with periodic boundary conditions, the simulation box…

数值分析 · 数学 2015-06-22 Matthew Dobson

The dynamics and stability of a fluid-filled hollow cylindrical shell rolling on an inclined plane are analyzed. We study the motion in two dimensions by analyzing the interaction between the fluid and the cylindrical shell. An analytical…

流体动力学 · 物理学 2014-12-02 Rohit B. Supekar , Mahesh V. Panchagnula

We present a technique to investigate the stationary states of a system of a collisionless system confined by an external potential and coupled to boundary reservoirs through prescribed reinjection rules. We consider a family of boundary…

统计力学 · 物理学 2026-04-28 Luca Barbieri , Pierfrancesco Di Cintio

High-speed boundary-layer transition is extremely sensitive to the free-stream disturbances which are often uncertain. This uncertainty compromises predictions of models and simulations. To enhance the fidelity of simulations, we directly…

流体动力学 · 物理学 2021-04-28 David A. Buchta , Tamer A. Zaki

Direct numerical simulations are conducted to study the receptivity and transition mechanisms in a solitary wave boundary layer developing over randomly organized wave-like bottom topography. The boundary layer flow shows a selective…

流体动力学 · 物理学 2021-02-24 Asim Önder , Philip L. -F. Liu

We investigate the Couette-Taylor problem for a steady incompressible viscous fluid in a 3D cylindrical annulus, where one of the two cylinders is still, under both Dirichlet and boundary conditions involving the vorticity that naturally…

偏微分方程分析 · 数学 2026-03-06 Edoardo Bocchi , Filippo Gazzola , Antonio Hidalgo-Torné

The problem of choice of boundary conditions are discussed for the case of numerical integration of the shallow water equations on a substantially irregular relief. In modeling of unsteady surface water flows has a dynamic boundary…

流体动力学 · 物理学 2017-09-29 T. A. Dyakonova , S. S. Khrapov , A. V. Khoperskov

We consider the initial-boundary value problem of a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities in a bounded domain $\Omega\subset\mathbb{R}^3$. Our first aim is to study…

偏微分方程分析 · 数学 2026-03-30 Harald Garcke , Maoyin Lv , Hao Wu

In this work, a numerical scheme based on a level-set immersed boundary method is employed for the numerical simulation of the flow around two tandem circular cylinders in the subcritical flow regimes. Three different spacing ratios…

流体动力学 · 物理学 2022-06-07 Radouan Boukharfane

Detailed data describing the motion of a rigid sphere settling in unperturbed fluid is generated by means of highly-accurate spectral/spectral-element simulations with the purpose of serving as a future benchmark case. A single…

流体动力学 · 物理学 2013-11-26 Markus Uhlmann , Jan Dusek

We consider the compressible barotropic Navier-Stokes equations in a half-line and study the time-asymptotic behavior toward the outgoing viscous shock wave. Precisely, we consider the two boundary problems: impermeable wall and inflow…

偏微分方程分析 · 数学 2025-01-08 Xushan Huang , Moon-Jin Kang , Jeongho Kim , Hobin Lee

This work focuses on the development and analysis of a partitioned numerical method for moving domain, fluid-structure interaction problems. We model the fluid using incompressible Navier-Stokes equations, and the structure using linear…

数值分析 · 数学 2020-07-03 Anyastassia Seboldt , Martina Bukač

Interfacial boundary conditions determined from empirical or ad-hoc models remain the standard approach to model fluid flows over porous media, even in situations where the topology of the porous medium is known. We propose a non-empirical…

流体动力学 · 物理学 2017-01-16 Uǧis Lācis , Shervin Bagheri

The impact of turbulent fluctuations on the forces exerted by a fluid on a towed spherical particle is investigated by means of high-resolution direct numerical simulations. The measurements are carried out using a novel scheme to integrate…

流体动力学 · 物理学 2016-11-21 Holger Homann , Jérémie Bec , Rainer Grauer

An algorithm is proposed to implement unsteady jump boundary conditions, presenting discontinuity in physical quantities, within the lattice Boltzmann method (LBM). This is useful to tackle problems involving mass or heat transfer through…

计算物理 · 物理学 2018-11-06 Badr Kaoui

This work presents a novel reduced-order model (ROM) for the incompressible Navier-Stokes equations with time-dependent boundary conditions. This ROM is velocity-only, i.e. the simulation of the velocity does not require the computation of…

数值分析 · 数学 2022-12-26 Henrik Rosenberger , Benjamin Sanderse

The transitional boundary layer flow over a flat plate is investigated. The boundary layer flow is known to develop unstable Tollmien-Schlichting waves above a critical value of the Reynolds number. However, it is also known that this…

流体动力学 · 物理学 2013-02-15 Damien Biau

The particles on demand (PonD) method is a new kinetic theory model that allows for simulation of high speed compressible flows. While standard Lattice-Boltzmann is limited by a fixed reference frame, significantly reducing the range of…

流体动力学 · 物理学 2023-06-07 Abhimanyu Bhadauria , Ilya Karlin