Quantification of uncertainty in computational fluid dynamics
PJ Roache - Annual review of fluid Mechanics, 1997 - annualreviews.org
▪ Abstract This review covers Verification, Validation, Confirmation and related subjects for
computational fluid dynamics (CFD), including error taxonomies, error estimation and …
computational fluid dynamics (CFD), including error taxonomies, error estimation and …
Verification and validation in computational fluid dynamics
WL Oberkampf, TG Trucano - Progress in aerospace sciences, 2002 - Elsevier
Verification and validation (V&V) are the primary means to assess accuracy and reliability in
computational simulations. This paper presents an extensive review of the literature in V&V …
computational simulations. This paper presents an extensive review of the literature in V&V …
NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations
In the last 50 years there has been a tremendous progress in solving numerically the Navier-
Stokes equations using finite differences, finite elements, spectral, and even meshless …
Stokes equations using finite differences, finite elements, spectral, and even meshless …
Dense velocity reconstruction from particle image velocimetry/particle tracking velocimetry using a physics-informed neural network
The velocities measured by particle image velocimetry (PIV) and particle tracking
velocimetry (PTV) commonly provide sparse information on flow motions. A dense velocity …
velocimetry (PTV) commonly provide sparse information on flow motions. A dense velocity …
[图书][B] Finite element methods for incompressible flow problems
V John - 2016 - Springer
Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …
applications. Their numerical simulation requires in particular a spatial discretization. Finite …
[图书][B] Mathematical aspects of discontinuous Galerkin methods
DA Di Pietro, A Ern - 2011 - books.google.com
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …
same time, incorporates several recent mathematical developments. The presentation is to a …
Separable physics-informed neural networks
Physics-informed neural networks (PINNs) have recently emerged as promising data-driven
PDE solvers showing encouraging results on various PDEs. However, there is a …
PDE solvers showing encouraging results on various PDEs. However, there is a …
Code verification by the method of manufactured solutions
PJ Roache - J. Fluids Eng., 2002 - asmedigitalcollection.asme.org
Verification of Calculations involves error estimation, whereas Verification of Codes involves
error evaluation, from known benchmark solutions. The best benchmarks are exact …
error evaluation, from known benchmark solutions. The best benchmarks are exact …
A review of droplet bouncing behaviors on superhydrophobic surfaces: Theory, methods, and applications
H Wang, H Lu, W Zhao - Physics of Fluids, 2023 - pubs.aip.org
The phenomenon of droplet bouncing on superhydrophobic surfaces has received
extensive attention in the academic and industrial fields, as it is critical for various …
extensive attention in the academic and industrial fields, as it is critical for various …
[图书][B] Scientific Computation
P Joly, A Quarteroni, J Rappaz - 2005 - Springer
Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …
was still fairly novel. Motivated by the many favorable comments we have received and the …