Numerical Analysis of a Fully Discrete Decoupled Penalty -Projection Algorithm for MHD in Elsässer Variables.

Date

2016-10-09

Author

Kaya Merdan, Songül

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https://hdl.handle.net/11511/81972

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NUMERICAL ANALYSIS AND TESTING OF A FULLY DISCRETE, DECOUPLED PENALTY-PROJECTION ALGORITHM FOR MHD IN ELSASSER VARIABLE AKBAŞ, MİNE; Kaya Merdan, Songül; MOHEBUJJAMAN, Muhammed; rebholz, leo (2016-01-01) We consider a fully discrete, efficient algorithm for magnetohydrodynamic (MHD) flow that is based on the Elsasser variable formulation and a timestepping scheme that decouples the MHD system but still provides unconditional stability with respect to the timestep. We prove stability and optimal convergence of the scheme, and also connect the scheme to one based on handling each decoupled system with a penalty-projection method. Numerical experiments are given which verify all predicted convergence rates of ...
Numerical analysis of a projection-based stabilization method for the natural convection problems Çıbık, Aytekin Bayram; Kaya Merdan, Songül; Department of Mathematics (2011) In this thesis, we consider a projection-based stabilization method for solving buoyancy driven flows (natural convection problems). The method consists of adding global stabilization for all scales and then anti-diffusing these effects on the large scales defined by projections into appropriate function spaces. In this way, stabilization acts only on the small scales. We consider two different variations of buoyancy driven flows based on the projection-based stabilization. First, we focus on the steady-sta...
Numerical Analysis of a Variational Multiscale Method for Turbulence Kaya Merdan, Songül (LAP LAMBERT Academic Publishing, 2011-01-01)
Numerical analysis of a micromechanics based cohesive zone model for ductile failure Tandoğan, İzzet Tarık; Yalçınkaya, Tuncay (2021-08-18)
Numerical determination of modal observability of two dimensional linear time invariant systems. Fildis, M Feridun; Department of Electrical Engineering (1985)

Citation Formats

S. Kaya Merdan, “Numerical Analysis of a Fully Discrete Decoupled Penalty -Projection Algorithm for MHD in Elsässer Variables.,” 2016, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/81972.