A generalized mac scheme on curvilinear domains

Published

Journal Article

We propose a simple finite difference scheme for Navier-Stokes equations in primitive formulation on curvilinear domains. With proper boundary treatment and interplay between covariant and contravariant components, the spatial discretization admits exact Hodge decomposition and energy identity. As a result, the pressure can be decoupled from the momentum equation with explicit time stepping. No artificial pressure boundary condition is needed. In addition, it can be shown that this spatially compatible discretization leads to uniform inf-sup condition, which plays a crucial role in the pressure approximation of both dynamic and steady state calculations. Numerical experiments demonstrate the robustness and efficiency of our scheme. Copyright © by SIAM. Unauthorized reproduction of this article is prohibited.

Full Text

Duke Authors

Cited Authors

  • Huang, YL; Liu, JG; Wang, WC

Published Date

  • November 7, 2013

Published In

Volume / Issue

  • 35 / 5

Electronic International Standard Serial Number (EISSN)

  • 1095-7200

International Standard Serial Number (ISSN)

  • 1064-8275

Digital Object Identifier (DOI)

  • 10.1137/120875508

Citation Source

  • Scopus