An Efficient Discretization for a Family of Time Relaxation Models
Document Type
Article
Publication Date
3-1-2022
Publication Title
Computer Methods in Applied Mechanics and Engineering
Volume
391
Abstract
In this paper, we present a finite element study for the family of Time Relaxation models using the recently proposed EMAC discretization of the non-linear term. This discretization conserves energy, momentum and angular momentum. We study the conservation properties, stability and error estimates in the fully discrete case. Comparisons with the classical skew symmetric non-linear formulation are drawn throughout the paper. We will show that the error estimate for EMAC is improved over the skew symmetric scheme based on the constant obtained from the application of Gronwall's inequality. Numerical experiments in 2D and 3D showing the advantage of EMAC over skew symmetric are performed as well.
Keywords
Conservation laws; EMAC discretization; Finite element; Time relaxation
Disciplines
Numerical Analysis and Scientific Computing | Statistical, Nonlinear, and Soft Matter Physics
Repository Citation
Belding, J.,
Neda, M.,
Lan, R.
(2022).
An Efficient Discretization for a Family of Time Relaxation Models.
Computer Methods in Applied Mechanics and Engineering, 391
http://dx.doi.org/10.1016/j.cma.2021.114510