A locally calculable P3‐pressure in a decoupled method for incompressible Stokes equations

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED

Numerical Methods for Partial Differential Equations Pub Date : 2024-03-22 DOI:10.1002/num.23101

Chunjae Park

引用次数: 0

Abstract

This article will suggest a new finite element method to find a ‐velocity and a ‐pressure solving incompressible Stokes equations at low cost. The method solves first the decoupled equation for a ‐velocity. Then, using the calculated velocity, a locally calculable ‐pressure will be defined component‐wisely. The resulting ‐pressure is analyzed to have the optimal order of convergence. Since the pressure is calculated by local computation only, the chief time cost of the new method is on solving the decoupled equation for the ‐velocity. Besides, the method overcomes the problem of singular vertices or corners.

查看原文本刊更多论文

不可压缩斯托克斯方程解耦方法中可局部计算的 P3 压力

本文将提出一种新的有限元方法，以低成本求解不可压缩斯托克斯方程的速度和压力。该方法首先求解速度的解耦方程。然后，利用计算出的速度，按分量定义可局部计算的压力。分析得出的压力具有最佳收敛阶数。由于压力仅通过局部计算得出，因此新方法的主要时间成本在于求解速度的解耦方程。此外，该方法还克服了奇异顶点或拐角的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Numerical Methods for Partial Differential Equations 数学-应用数学

CiteScore

7.20

自引率

2.60%

发文量

审稿时长

9 months

期刊介绍： An international journal that aims to cover research into the development and analysis of new methods for the numerical solution of partial differential equations, it is intended that it be readily readable by and directed to a broad spectrum of researchers into numerical methods for partial differential equations throughout science and engineering. The numerical methods and techniques themselves are emphasized rather than the specific applications. The Journal seeks to be interdisciplinary, while retaining the common thread of applied numerical analysis.