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Pseudospectral simulation of compressible magnetohydrodynamic turbulence. (English) Zbl 0722.76056
Summary: We describe a conservative pseudospectral algorithm for the numerical simulation of fully compressible, dissipative magnetohydrodynamic turbulence in two spatial dimensions. Fourier collocation is employed in the two Cartesian spatial coordinates, with an isotropic truncation at each time-level. Time is explicitly discretized with a second-order Runge-Kutta scheme. We discuss conservation of material integrals and simulation of shocks. We also present results of several turbulence simulations. The results are compared with incompressible results computed by another algorithm. For the selective decay problem, the compressible results appear to converge to the incompressible case as \(\beta\to \infty\).

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
76F99 Turbulence
76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
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