Adaptive time-stepping algorithms for the scalar auxiliary variable scheme of Navier-Stokes equations. (August 2022)

• Record Type: Journal Article
• Authors: Chen, Hongtao; Wang, Weilong
• Is Part Of: Journal of algorithms & computational technology. Volume 16(2022)
• Publication Date: 2022-08
• Subjects: Navier-Stokes equation -- scalar auxiliary variable approach -- adaptive time-stepping method -- energy equidistribution -- relative error; 65M60 -- 76M10; Computer algorithms -- Periodicals; Numerical calculations -- Periodicals; Computer algorithms; Numerical calculations; Periodicals; 518.1
• DOI: 10.1177/17483026221093956
• Languages: English
• ISSNs: 1748-3018

Abstract

Adaptive time stepping is an important tool for controlling the simulation error and enhancing its efficiency in computational fluid dynamics. In this paper, we introduce two adaptive time-stepping algorithms based on the scalar auxiliary variable scheme for the Navier-Stokes equation. One way is to take equidistribution of energy decay to control the variance of the time steps, and in the other way, the relative error is involved to produce time steps. The numerical experiments show that the computational time is significantly saved by these methods.