6 papers · 1 filter
Improved Arrow-Hurwicz method for Stationary Inductionless Magnetohydrodynamics System
Duygu Uludag, Fatma G. Eroglu, Aziz Takhirov +1
In this work, we propose a new Arrow-Hurwicz iterative scheme designed to solve the steady inductionless magnetohydrodynamics system. The main feature of the proposed scheme is the…
Decoupled iterative schemes for solving stationary MHD problems
Aziz Takhirov, Driss Yakoubi
We develop a novel iterative approach for solving the incompressible magnetohydrodynamics problem. The main idea is to split the velocity-momentum and magnetic induction equations…
Steady Incremental Viscosity Splitting Method for solving the stationary Navier-Stokes equation
Aziz Takhirov, Driss Yakoubi
We develop a novel and efficient iterative scheme for solving incompressible steady Navier-Stokes equations. The method is an adaptation of the Incremental Viscosity Splitting appr…
An efficient algorithm for weakly compressible flows in spherical geometries
Roman Frolov, Peter Minev, Aziz Takhirov
This study proposes an algorithm for modeling compressible flows in spherical shells in nearly incompressible and weakly compressible regimes based on an implicit direction splitti…
A direction splitting scheme for Navier-Stokes-Boussinesq system in spherical shell geometries
Aziz Takhirov, Roman Frolov, Peter Minev
This paper introduces a formally second-order direction-splitting method for solving the incompressible Navier-Stokes-Boussinesq system in a spherical shell region. The equations a…
Ensemble algorithm for parametrized flow problems with energy stable open boundary conditions
Aziz Takhirov, Jiajia Waters
We propose novel ensemble calculation methods for Navier-Stokes equations subject to various initial conditions, forcing terms and viscosity coefficients. We establish the stabilit…