A pseudo-spectral method with volume penalisation for magnetohydrodynamic turbulence in confined domains

We present a Fourier pseudo-spectral method for solving the resistive magnetohydrodynamic equations of incompressible flow in confined domains. A volume penalisation method allows to take into account boundary conditions and the geometry of the domain. A code validation is presented for the z-pinch test case. Numerical simulations of decaying MHD turbulence in two space dimensions show spontaneous spin-up of the flow in non-axisymmetric geometries, which is reflected by the generation of angular momentum. First results of decaying MHD turbulence in a cylinder illustrate the potential of the new method for three-dimensional simulations.

Kai Schneider, Salah Neffaa, Wouter J.T. Bos. A pseudo-spectral method with volume penalisation for magnetohydrodynamic turbulence in confined domains. Computer Physics Communications, Elsevier, 2011, 182 (1), pp.2-7. ⟨10.1016/j.cpc.2010.05.019⟩. ⟨hal-00647827⟩

Journal: Computer Physics Communications

Date de publication: 01-01-2011

Auteurs:

Digital object identifier (doi): http://dx.doi.org/10.1016/j.cpc.2010.05.019

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