Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem

Boundary Value Problems

Mohamed Abdelwahed¹  Nejmeddine Chorfi¹  Henda Ouertani² 

[1] Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia;Information Technology Department, College of Computer and Information Sciences, King Saud University, Riyadh, Saudi Arabia;

关键词: Navier–Stokes problem;    Spectral method;    Uzawa method;    Global resolution;   

DOI  :  10.1186/s13661-021-01578-7

来源: Springer

【 摘 要 】

The objective of the article is to improve the algorithms for the resolution of the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem in two and three domains. Two algorithms are proposed. The first one is based on the Uzawa method. In the second one we consider a modified global resolution. The two algorithms are implemented and their results are compared.

【 授权许可】

CC BY