Results 101 to 110 of about 1,289,587 (195)

Active training of physics-informed neural networks to aggregate and interpolate parametric solutions to the Navier-Stokes equations. [PDF]

J Comput Phys, 2021
Arthurs CJ, King AP.
europepmc   +1 more source

Navier-Stokes Prediction of the Effect of the Skids on the Aerodynamics of Helicopter Fuselage in Forward Flight [PDF]

, 2006
A series of three-dimensional Navier-Stokes computations were carried out with and without skids to investigate the influence of the skids on the flow field and aerodynamic forces acting on a helicopter fuselage in low Mach number forward flight under ...
Khier, Walid
core  

Invariant Measures for the Stochastic One-Dimensional Compressible Navier-Stokes Equations. [PDF]

Appl Math Optim, 2021
Coti Zelati M, Glatt-Holtz N, Trivisa K.
europepmc   +1 more source

Navier-Stokes equations: theory and numerical analysis

, 1977
This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic ...
Temam, Roger., Temam, Roger
core  

Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods [PDF]

, 2008
After the introduction in Section 1 this lecture starts off with recalling well-known results from the numerical analysis of the continuous finite element methods.
Hartmann, Ralf
core  

A novel deep neural network for solving incompressible Navier-Stokes equation and Cahn-Hilliard equation

四川大学学报. 自然科学版
For a long time， the curse of dimensionality has severely restricted the efficiency of numerical solutions of high-dimensional partial differential equations （PDEs）.In this paper， we extend the forward-backward stochastic neural networks （FBSNNs ...
DENG Yangtao, HE Qiaolin
doaj  

Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation [PDF]

, 2005
In this article we consider the development of discontinuous Galerkin finite element methods for the numerical approximation of the compressible Navier-Stokes equations.
Ralf Hartmann, Paul Houston, Houston, Paul, Hartmann, Ralf   +3 more
core   +1 more source

Partial Regularity for Navier-Stokes Equations

Journal of Mathematical Fluid Mechanics
We prove, with a more geometric approach, that the solutions to the Navier-Stokes equations are regular up to a set of Hausdorff dimension 1. The main tool for the proof is a new compactness lemma and the monotonicity property of harmonic functions.
openaire   +3 more sources

The nested block preconditioning technique for the incompressible Navier-Stokes equations with emphasis on hemodynamic simulations. [PDF]

Comput Methods Appl Mech Eng, 2020
Liu J, Yang W, Dong M, Marsden AL.
europepmc   +1 more source

Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible Navier-Stokes equations with vacuum

Electronic Journal of Differential Equations, 2016
This article is devoted to the study of the nonhomogeneous incompressible Navier-Stokes equations in space dimension three. By making use of the "weakly nonlinear" energy estimate approach introduced by Lei and Zhou in [16], we establish two ...
Qianqian Hou, Xiaojing Xu, Zhuan Ye
doaj