Defect-Deferred Correction Method Based on a Subgrid Artificial Viscosity Modeling

05/31/2020
by   Mustafa Aggul, et al.
0

An alternative first step approximation based on subgrid artificial viscosity modeling (SAV) is proposed for defect-deferred correction method (DDC) for incompresible Navier-Stokes equation at high Reynolds number. This new approach not only preserves all qualifications of the conventional artificial viscosity (AV) based DDC, such as unconditional stability, high order of accuracy and so on, it has also shown its superiority over choosing AV approximation in the predictor step. Both theory and computational results presented in this paper illustrate that this alternative approach indeed increases the efficiency of the DDC method.

READ FULL TEXT

Authors

page 24

05/31/2020

Defect-Deferred Correction Method Based on a Subgrid Artificial Viscosity Model for Fluid-Fluid Interaction

A defect-deferred correction method, increasing both temporal and spatia...
09/30/2020

Stability analysis of a singlerate and multirate predictor-corrector scheme for overlapping grids

We use matrix stability analysis for a singlerate and multirate predicto...
07/01/2021

A new Lagrange multiplier approach for constructing positivity preserving schemes

We propose a new Lagrange multiplier approach to construct positivity pr...
12/27/2021

Correction of high-order L_k approximation for subdiffusion

The subdiffusion equations with a Caputo fractional derivative of order ...
02/06/2019

A Predictor-Corrector Method for Power System Variable Step Numerical Simulation

This letter proposes a predictor-corrector method to strike a balance be...
07/03/2020

Correction of BDFk for fractional Feynman-Kac equation with Lévy flight

In this work, we present the correction formulas of the k-step BDF convo...
07/21/2021

A combined volume penalization / selective frequency damping approach for immersed boundary methods applied to high-order schemes

There has been an increasing interest in developing efficient immersed b...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.