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Magnetohydrodynamics (MHD) simulation via an adaptive element free Galerkin method

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In this work, an adaptive element free Galerkin technique is presented to solve magnetohydrodynamics (MHD) equations. An a posteriori error estimation based on gradient recovery is suggested to find locations… Click to show full abstract

In this work, an adaptive element free Galerkin technique is presented to solve magnetohydrodynamics (MHD) equations. An a posteriori error estimation based on gradient recovery is suggested to find locations with largest error contribution. For stabilization, the MHD equations are converted into two convection diffusion equations and these equations are stabilized by adding an artificial diffusion based on local Péclet number. The presented numerical examples show efficiency of the adaptive technique.

Keywords: free galerkin; magnetohydrodynamics mhd; element free; magnetohydrodynamics; adaptive element

Journal Title: Engineering with Computers
Year Published: 2020

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