Results 41 to 50 of about 354,492 (314)

Performance Analyses of IDEAL Algorithm on Highly Skewed Grid System

Advances in Mechanical Engineering, 2014
IDEAL is an efficient segregated algorithm for the fluid flow and heat transfer problems. This algorithm has now been extended to the 3D nonorthogonal curvilinear coordinates.
Dongliang Sun, Jinliang Xu, Peng Ding
doaj   +1 more source

A Review of Preconditioning and Artificial Compressibility Dual-Time Navier–Stokes Solvers for Multiphase Flows

Fluids, 2023
This review paper aims to summarize recent advancements in time-marching schemes for solving Navier–Stokes (NS) equations in multiphase flow simulations.
Van-Tu Nguyen, Warn-Gyu Park
doaj   +1 more source

Toolbox for the Computation of 2D Fourier Transforms in Polar Coordinates via Maple

Journal of Open Research Software, 2015
The Fourier transform is one of the most useful tools in science and engineering and can be expanded to multi-dimensions and curvilinear coordinates. A toolbox of functions for the computation of two dimensional Fourier transforms in polar coordinates ...
Edem Dovlo, Natalie Baddour
doaj   +1 more source

General relativistic hydrodynamics in curvilinear coordinates

, 2014
In this paper we report on what we believe is the first successful implementation of relativistic hydrodynamics, coupled to dynamical spacetimes, in spherical polar coordinates without symmetry assumptions.
Baumgarte, Thomas W., Montero, Pedro J., Müller, Ewald   +2 more
core   +1 more source

Group-theoretical formulation of an Eckart-frame kinetic energy operator in curvilinear coordinates for polyatomic molecules.

Journal of Chemical Physics, 2019
A new procedure is presented for building a general kinetic energy operator expressed as a polynomial series expansion of symmetry-adapted curvilinear coordinates for semirigid polyatomic molecules.
M. Rey
semanticscholar   +1 more source

Pseudotensors in asymptotically curvilinear coordinates [PDF]

General Relativity and Gravitation, 1987
Die Verff. befassen sich mit geometrischen Größen, die durch Auszeichnung spezieller Koordinatensysteme entstehen, und möchten diese in beliebigen Koordinaten ausdrücken. Was sie dabei erreichen, ist mangels klarer Formulierung ebenso wenig erkennbar wie der Nutzen der Verwendung der veralteten Pseudotensoren.
Nahmad-Achar, E., Schutz, B.
openaire   +3 more sources

Mathematical and Computational Modeling of Catalytic Converter Using Navier–Stokes Equations in Curvilinear Coordinates

Mathematics
This article discusses the problem of numerically solving the Navier–Stokes equations, the heat conduction equation, and the transport equation in the orthogonal coordinates of a free curve. Since the numerical solution domain is complex, the curvilinear
Nurlan Temirbekov, Kerimakyn Ainur
doaj   +1 more source

Three-Dimensional Exact Free Vibration Analysis of Spherical, Cylindrical, and Flat One-Layered Panels

Shock and Vibration, 2014
The paper proposes a three-dimensional elastic analysis of the free vibration problem of one-layered spherical, cylindrical, and flat panels. The exact solution is developed for the differential equations of equilibrium written in orthogonal curvilinear ...
Salvatore Brischetto
doaj   +1 more source

Lattice Boltzmann model in general curvilinear coordinates applied to exactly solvable 2D flow problems

Frontiers in Applied Mathematics and Statistics, 2023
Numerical simulation results of basic exactly solvable fluid flows using the previously proposed by H. Chen Lattice Boltzmann Method (LBM) formulated on a general curvilinear coordinate system are presented.
Alexei Chekhlov, Ilya Staroselsky, Raoyang Zhang, Hudong Chen   +3 more
doaj   +1 more source

A New Look at Linear (Non-?) Symplectic Ion Beam Optics in Magnets [PDF]

, 2013
We take a new look at the details of symplectic motion in solenoid and bending magnets and rederive known (but not always well-known) facts. We start with a comparison of the general Lagrangian and Hamiltonian formalism of the harmonic oscillator and ...
Baumgarten, C.
core   +1 more source