Journal ArticleDOI
Two new upwind difference schemes for a coupled system of convection-diffusion equations arising from the steady MHD duct flow problems
Po Wen Hsieh,Suh Yuh Yang +1 more
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Two new upwind difference schemes for solving a coupled system of convection-diffusion equations arising from the steady incompressible MHD duct flow problem with a transverse magnetic field at high Hartmann numbers are developed.About:
This article is published in Journal of Computational Physics.The article was published on 2010-12-01. It has received 20 citations till now. The article focuses on the topics: Upwind scheme & Hartmann number.read more
Citations
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Journal ArticleDOI
The method of variably scaled radial kernels for solving two-dimensional magnetohydrodynamic (MHD) equations using two discretizations: The Crank–Nicolson scheme and the method of lines (MOL)
Mehdi Dehghan,Vahid Mohammadi +1 more
TL;DR: A numerical meshless method based on radial basis functions (RBFs) is provided to solve MHD equations and the obtained numerical results show the ability of the new method for solving this problem.
Journal ArticleDOI
Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method
Mehdi Dehghan,Mostafa Abbaszadeh +1 more
TL;DR: In this paper, the authors proposed a new numerical algorithm for solving the MHD equation by using the interpolating element free Galerkin (EFG) method to discrete the spatial direction.
Journal ArticleDOI
Controllability and observability of 2D thermal flow in bulk storage facilities using sensitivity fields
TL;DR: It is indicated that input-state and initial-state output sensitivity fields provide sufficient information about the controllability and observability of large coupled spatially distributed systems, using finite-dimensional state space representation with small discretisation steps.
Journal ArticleDOI
An exponential compact difference scheme for solving 2D steady magnetohydrodynamic (MHD) duct flow problems
Yan Li,Zhen F. Tian +1 more
TL;DR: An exponential high-order compact (EHOC) difference scheme on the nine-point stencil is developed for the solution of the coupled equations representing the steady incompressible, viscous magnetohydrodynamic (MHD) flow through a straight channel of rectangular section.
Journal ArticleDOI
A stable boundary elements method for magnetohydrodynamic channel flows at high Hartmann numbers
TL;DR: In this paper, an extension of boundary element method (BEM) for solving coupled equations in velocity and induced magnetic field for time dependent magnetohydrodynamic (MHD) flows through a rectangular pipe.
References
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Journal ArticleDOI
Stabilized finite element methods. I: Application to the advective-diffusive model
TL;DR: In this article, a review of stabilized finite element methods for the Navier-Stokes problem is presented, and a global convergence analysis is presented and numerical experiments are performed, and the design of the stability parameter is confirmed to be a crucial ingredient for simulating the advective-diffusive model, and improved possibilities are suggested.
MonographDOI
Numerical Solution of Partial Differential Equations: An Introduction
TL;DR: In this paper, the authors provide a concise introduction to standard numerical techniques, ones chosen on the basis of their general utility for practical problems, including finite difference methods for simple examples of parabolic, hyperbolic and elliptic equations.
Book
Numerical Solution of Convection-Diffusion Problems
TL;DR: In this paper, the authors presented results from mathematical analysis on different schemes for steady problems. But they did not discuss the effect of finite element methods and Petrov-Galerkin methods on the performance of steady problems and unsteady problems.