Paper Info
Title
Finite-difference method for incompressible Navier-Stokes equations in arbitrary orthogonal curvilinear coordinates
Abstract
A finite-difference method for solving three-dimensional time-dependent incompressible Navier-Stokes equations in arbitrary curvilinear orthogonal coordinates is presented. The method is oriented on turbulent flow simulations and consists of a second-order central difference approximation in space and a third-order semi-implicit Runge-Kutta scheme for time advancement. Spatial discretization retains some important properties of the Navier-Stokes equations, including energy conservation by the nonlinear and pressure-gradient terms. Numerical tests cover Cartesian, cylindrical-polar, spherical, cylindrical elliptic and cylindrical bipolar coordinate systems. Both laminar and turbulent flows are considered demonstrating reasonable accuracy and stability of the method.
Year
DOI
Venue
2006
10.1016/j.jcp.2006.01.036
J. Comput. Physics
Keywords
Field
DocType
turbulent flows,cylindrical elliptic,semi-implicit runge–kutta method,incompressible navier-stokes equation,curvilinear orthogonal coordinates,arbitrary curvilinear orthogonal,energy conservation,navier-stokes equation,cylindrical bipolar,arbitrary orthogonal curvilinear,47.11.+j,three-dimensional time-dependent incompressible navier-stokes,important property,finite-difference method,central differences,navier–stokes equations,turbulent flow simulation,turbulent flow,coordinate system,pressure gradient,second order,finite difference method,three dimensional
Mathematical analysis,Skew coordinates,Bipolar coordinates,Finite difference method,Curvilinear coordinates,Orthogonal coordinates,Elliptic cylindrical coordinates,Elliptic coordinate system,Mathematics,Pressure-correction method
Journal
Volume
Issue
ISSN
217
2
Journal of Computational Physics
Citations 
PageRank 
References 
3
0.44
0
Authors
1
Name
Order
Citations
PageRank
Nikolay Nikitin130.44