An accurate second-order approximation factorization method for time-dependent incompressible Navier-Stokes equations in spherical polar coordinates
type: Item
instance of: scholarly article
title: An accurate second-order approximation factorization method for time-dependent incompressible Navier-Stokes equations in spherical polar coordinates
zbMATH Open document ID: 0935.76063
author: Weiming Sha
author: Kiochi Nakabayashi
author: Hiromasa Ueda
published in: Journal of Computational Physics
publication date: 2000-05-09T00:00:00Z
review text: We present in detail a finite-difference method for solving three-dimensional, time-depenent incompressible Navier-Stokes equations in spherial polar coordinates. A new algorithm, which is second-order accurate in time and space, is considered, and decoupling between the velocity and the pressure is achieved by this algorithm. The method is tested by computing the spherical Couette flow between two concentric spheres, with the inner one rotating. \(\copyright\) Academic Press.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 1290130
zbMATH Keywords: velocity-pressure decoupling
zbMATH Keywords: Taylor-Görtler vortex
zbMATH Keywords: spiral Taylor-Görtler vortex
zbMATH Keywords: spherial polar coordinates
zbMATH Keywords: spherical Couette flow
MaRDI profile type: Publication
full work available at URL: jcph.1998.5921
OpenAlex ID: W2047389366
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DOI: 10.1006/JCPH.1998.5921
description: scientific article; zbMATH DE number 1290130