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Resolution of the Navier–Stokes equations on block-structured meshes

✍ Scribed by C. Romé; S. Glockner; J. P. Caltagirone

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
1017 KB
Volume
54
Category
Article
ISSN
0271-2091

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✦ Synopsis

Abstract

We propose a non‐iterative method to connect non‐matching block‐structured meshes applied to the resolution of the Navier–Stokes equations. The present article gives a complete description of the method based on the implicit treatment of the connecting condition. We also extend it to curvilinear meshes. The spatial convergence order of the method is shown to be two and the approach is validated on different 2D laminar flows frequently found in the literature. Copyright © 2007 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Inertial Forms of Navier-Stokes Equation
Inertial Forms of Navier-Stokes Equations on the Sphere
✍ R. Temam; S.H. Wang 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 686 KB

The Navier-Stokes equations for incompressible flows past a two-dimensional sphere are considered in this article. The existence of an inertial form of the equations is established. Furthermore, for the first time for fluid equations, we derive an upper bound on the dimension of the differential sys