Higher-order time-step** schemes for fluid-structure interaction problems

D Boffi, L Gastaldi, S Wolf - arxiv preprint arxiv:1907.00406, 2019 - arxiv.org
We consider a recently introduced formulation for fluid-structure interaction problems which
makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. In …

Numerical analysis of a time relaxation finite difference method for the heat equation

Ö İlhan, OR Işık, S Bozkurt - … of Sciences University of Ankara Series …, 2023 - dergipark.org.tr
In this study, we first consider the time-relaxation model, which consists of adding the term
$\kappa\left (u-\overline {u}\right) $ to the heat equation. Then, an explicit discretization …

Numerical Analysis of Backward-Euler Method for Simplified MagnetoHydroDynamics (SMHD) with Linear Time Relaxation

G Yüksel, MH Yaman - Turkish Journal of Mathematics and …, 2021 - dergipark.org.tr
In this study, the solutions of Simplified Magnetohyrodynamics (SMHD) equations by finite
element method are examined with linear time relaxation term. Therefore, the differential …

Application of a near wall model to Navier-Stokes equations with nonlinear time-relaxation model

Ö İhan - Journal of Applied Mathematics and Computational …, 2022 - yadda.icm.edu.pl
It is difficult and essential to determine appropriate boundary conditions for the flow
averages because they depend on the behavior of the unknown flow near the wall. Large …

SOLUTIONS AND STABILITY ANALYSIS OF BACKWARD-EULER METHOD FOR SIMPLIFIED MAGNETOHYDRODYNAMICS WITH NONLINEAR TIME RELAXATION

G Yüksel, MH Yaman - Mugla Journal of Science and Technology, 2021 - dergipark.org.tr
In this study, the solutions of Simplified Magnetohyrodynamics (SMHD) equations by finite
element method are examined with nonlinear time relaxation term. The differential filter κ …