Analysis of the Pressure - Velocity boundary conditions for the projection method solution of the incompressible Navier-Stokes Equations

L. Pekker, D. Pekker · 2024 · arXiv

| 编号 QC073 | 主题 经典 CFD 基础 | 链接 arXiv:2405.11691 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

The projection method is the standard approach for numerically integrating the incompressible Navier-Stokes equation initial-boundary-value problem. Typical boundary conditions specify either the velocity or the gradient velocity on the boundary. Here, we consider the pressure-tangential-velocity boundary condition in which the tangential components of the velocity and the pressure at the boundary are specified. We (1) show how these boundary conditions can be incorporated into the projection method for use with popular CFD codes like Gerris/Basilisk; (2) perform normal mode analysis to show that the boundary conditions are second-order accurate in time for the standard $\nabla P^{n+1/2}$ projection method and are first-order for the $\nabla P^n$ and $\nabla P^{n+1}$ projection methods.

本站词条在引用该文献时，会以 wikilink（sources/QC073）链接到本页；右侧「反向链接」面板自动列出所有引用它的词条。