A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable

Date

2020-06-01

Author

Erkmen, Dilek
Kaya Merdan, Songül
Cibik, Aytekin

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

271
views

0
downloads

© 2019 Elsevier B.V.We study the deferred correction method for the magnetohydrodynamics (MHD) system written in Elsässer variables. The proposed algorithm is based on the penalty projection with grad-div stabilized Taylor Hood solutions of the Elsässer formulation. In this way, second order accuracy of the method in time is obtained through the deferred correction method with excellent mass conservation properties. For the proposed method, stability is rigorously proven and numerical experiments are presented to verify the proposed scheme and theory.

Subject Keywords

Applied Mathematics, Computational Mathematics

URI

https://hdl.handle.net/11511/57263

Journal

Journal of Computational and Applied Mathematics

DOI

https://doi.org/10.1016/j.cam.2019.112694

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

A tearing-based hybrid parallel sparse linear system solver NAUMOV, Maxim; Manguoğlu, Murat; SAMEH, Ahmed (Elsevier BV, 2010-09-15) We propose a hybrid sparse system solver for handling linear systems using algebraic domain decomposition-based techniques. The solver consists of several stages. The first stage uses a reordering scheme that brings as many of the largest matrix elements as possible closest to the main diagonal. This is followed by partitioning the coefficient matrix into a set of overlapped diagonal blocks that contain most of the largest elements of the coefficient matrix. The only constraint here is to minimize the size ...
A DRBEM approximation of the Steklov eigenvalue problem Türk, Önder (Elsevier BV, 2021-01-01) In this study, we propose a novel approach based on the dual reciprocity boundary element method (DRBEM) to approximate the solutions of various Steklov eigenvalue problems. The method consists in weighting the governing differential equation with the fundamental solutions of the Laplace equation where the definition of interior nodes is not necessary for the solution on the boundary. DRBEM constitutes a promising tool to characterize such problems due to the fact that the boundary conditions on part or all...
Counting Boolean functions with specified values in their Walsh spectrum Uyan, Erdener; Calik, Cagdas; Doğanaksoy, Ali (Elsevier BV, 2014-03-15) The problem of counting Boolean functions with specified number s of Walsh coefficients omega in their Walsh spectrum is discussed in this paper. Strategies to solve this problem shall help solving many more problems related to desired cryptographic features of Boolean functions such as nonlinearity, resiliency, algebraic immunity, etc. In an attempt to study this problem, we present a new framework of solutions. We give results for vertical bar omega vertical bar >= 2(n-1) and for all s, in line with a pre...
A nested iterative scheme for computation of incompressible flows in long domains Manguoğlu, Murat; Tezduyar, Tayfun E.; Sathe, Sunil (Springer Science and Business Media LLC, 2008-12-01) We present an effective preconditioning technique for solving the nonsymmetric linear systems encountered in computation of incompressible flows in long domains. The application category we focus on is arterial fluid mechanics. These linear systems are solved using a nested iterative scheme with an outer Richardson scheme and an inner iteration that is handled via a Krylov subspace method. Test computations that demonstrate the robustness of our nested scheme are presented.
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations Volker, John; Kaya Merdan, Songül (Springer Science and Business Media LLC, 2008-01-01) The paper presents finite element error estimates of a variational multiscale method (VMS) for the incompressible Navier-Stokes equations. The constants in these estimates do not depend on the Reynolds number but on a reduced Reynolds number or on the mesh size of a coarse mesh.

Citation Formats

D. Erkmen, S. Kaya Merdan, and A. Cibik, “A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable,” Journal of Computational and Applied Mathematics, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57263.