Results 31 to 40 of about 5,941,578 (168)

Numerical Aspects of Turbulent Blood Flow in Aorta: A Systematic Review

Engineering Reports, Volume 8, Issue 9, September 2026.
The aim of this systematic review is to systematize the methodological approaches used in the state‐of‐the‐art literature, including the choice of turbulence models, validation methods, as well as the identification of the main hemodynamic parameters characterizing turbulent flow.
Nikita Skripka, Alex G. Kuchumov
wiley   +1 more source

An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque, Yunhui He, Maxim Olshanskii   +2 more
wiley   +1 more source

Turbulent snow transport and accumulation: New reduced‐order models and diagnostics

Quarterly Journal of the Royal Meteorological Society, Volume 152, Issue 776, April 2026 Part A.
Our new reduced‐order models of snow particle transport provide high‐fidelity calculations of snow accumulation in turbulent flows at significantly reduced computational costs. Additional accumulation diagnostics from the reduced‐order model predict complex patterns of particle concentration in turbulent boundary layers via coherent flow structures in ...
Nikolas O. Aksamit, Alex P. Encinas‐Bartos, Holt Hancock, Alexander Prokop   +3 more
wiley   +1 more source

Global Solvability of the Generalized Navier−Stokes System in Critical Besov Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper is devoted to the global solvability of the Navier−Stokes system with a fractional Laplacian (−Δ)α in Rn for n ≥ 2, where the convective term has the form (|u|m−1u)·∇u for m ≥ 1. By establishing the estimates for the difference u1m−1u1−u2m−1u2 in homogeneous Besov spaces and employing the maximal regularity property of (−Δ)α in Lorentz−Besov
Huiyang Zhang, Shiwei Cao, Qinghua Zhang, Dengfeng Lu   +3 more
wiley   +1 more source

Navier-Stokes/Forchheimer models for filtration through porous media [PDF]

, 2013
Modeling the filtration of incompressible fluids through porous media requires dealing with different types of partial differential equations in the fluid and porous subregions of the computational domain.
Marco Discacciati (1256517), Flavio Cimolin (7161860)   +1 more
core   +4 more sources

Numerical Investigation of a Variable Cross‐Section Perforated Gun Barrel for Enhanced Dynamic and Thermal Performance

Modelling and Simulation in Engineering, Volume 2026, Issue 1, 2026.
This research introduces a novel gun barrel design featuring a variable cross‐section and three‐way symmetric perforations (VTSP), which combines an axially graded wall profile with periodically arranged triple‐symmetry holes. An integrated computational fluid dynamics (CFD) and finite element analysis (FEA) framework is developed to evaluate the ...
Xiang Liu, Yuhang Liu, Xin Lai, Lisheng Liu, Jinyong Zhang, Smritijit Sen   +5 more
wiley   +1 more source

NAVIER–STOKES EQUATIONS ON THE β-PLANE [PDF]

, 2012
Mathematical analysis has been undertaken for the vorticity formulation of the two dimensional Navier–Stokes equation on the β-plane with periodic boundary conditions. This equation describes the flow of fluid near the equator of the Earth. The long time
Al-Jaboori, Mustafa Ali Hussain, AL-JABOORI, MUSTAFA,ALI,HUSSAIN   +1 more
core  

DUNE-FEM-Navier-Stokes 0.3

, 2012
<p>Website: http://users.dune-project.org/projects/dune-fem-navier-stokes</p ...
René Milk
core   +1 more source

The sharp-interface limit for the Navier--Stokes--Korteweg equations [PDF]

, 2018
We investigate the sharp-interface limit for the Navier--Stokes--Korteweg model, which is an extension of the compressible Navier--Stokes equations.
Dietmar Kröner, Kröner, Dietmar, Helmut Abels, Christiane Kraus, Daube, Johannes, Kraus, Christiane, Abels, Helmut, Johannes Daube   +7 more
core   +1 more source

Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables

International Journal for Numerical Methods in Fluids, Volume 97, Issue 12, Page 1457-1481, December 2025.
Based on Hamilton's principle, the study focuses on a novel strategy for the modeling of non‐Newtonian fluids with the help of internal variables. Here, the viscosity evolves locally in space and time. Three configurations are numerically implemented, namely channel flow, a benchmark, and a lid‐driven cavity.
Philipp Junker, Thomas Wick
wiley   +1 more source