Extension of the Velocity-Correction Scheme to General Coordinate Systems

0Citations
Citations of this article
2Readers
Mendeley users who have this article in their library.
Get full text

Abstract

The velocity-correction scheme is a time-integration method for the incompressible Navier-Stokes equations, and is a common choice in the context of spectral/hp methods. Although the spectral/hp discretization allows the representation of complex geometries, in some cases the use of a coordinate transformation is desirable, since it may lead to symmetries which allow a more efficient solution of the equations. One example of this occurs when the transformed geometry has a homogeneous direction, in which case a Fourier expansion can be applied in this direction, reducing the computational cost. In this paper, we revisit two recently proposed forms of extending the velocity-correction scheme to general coordinate systems, the first treating the mapping terms explicitly and the second treating them semi-implicitly. We then present some numerical examples illustrating the properties and applicability of these methods, including new tests focusing on the time-accuracy of these schemes.

Cite

CITATION STYLE

APA

Serson, D., Meneghini, J. R., & Sherwin, S. J. (2017). Extension of the Velocity-Correction Scheme to General Coordinate Systems. In Lecture Notes in Computational Science and Engineering (Vol. 119, pp. 331–342). Springer Verlag. https://doi.org/10.1007/978-3-319-65870-4_23

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free