Forms of the generalised Navier-Stokes equations
type: Item
instance of: scholarly article
title: Forms of the generalised Navier-Stokes equations
zbMATH Open document ID: 0587.76041
DOI: 10.1007/BF00039190
published in: Journal of Engineering Mathematics
publication date: 1984-01-01T00:00:00Z
review text: We review the governing equations of fluid dynamics in general co- ordinates, and present forms particularly suitable for efficient numerical solution. Methods are given, both for compressible and incompressible flow, of eliminating explicit use of the connection coefficients and transformation matrix elements from the computations. Special problems associated with spatially varying viscosity and with eddy-viscosity turbulence models are also discussed.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 3943317
zbMATH Keywords: semi-Cartesian form
zbMATH Keywords: co-ordinate transformation methods
zbMATH Keywords: numerical solution
zbMATH Keywords: connection coefficients
zbMATH Keywords: transformation matrix elements
zbMATH Keywords: eddy- viscosity turbulence models
author: Peter R. Voke
author: Michael W. Collins
MaRDI profile type: Publication
cites work: TOMCAT - a code for numerical generation of boundary-fitted curvilinear coordinate systems on fields containing any number of arbitrary two- dimensional bodies
cites work: Q5736805
cites work: Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
cites work: On the use of a coordinate transformation for the solution of the Navier- Stokes equations
cites work: Numerical solution of the Navier-Stokes equations with topography
cites work: Q4178682
cites work: Large Eddy Numerical Simulations of Turbulent Flows
cites work: The numerical solution of the Navier-Stokes equations for a three- dimensional laminar flow in curved pipes using finitedifference methods
full work available at URL: https://doi.org/10.1007/bf00039190
OpenAlex ID: W2094825813
Recommended article: On the generalized Navier-Stokes equations
Recommended article: Q4727578
Recommended article: Parametrization of general solutions for the Navier-Stokes equations
Recommended article: Q3523454
Recommended article: Q3683736
Recommended article: A variational formulation for the Navier-Stokes equation
Recommended article: Q3305985
Recommended article: Solvability of generalized Navier-Stokes equations
Recommended article: Generalizations of the Navier-Stokes fluid from a new perspective
Recommended article: Generic solvability of the equations of Navier-Stokes
description: scientific article; zbMATH DE number 3943317