Wan, MinpingServidio, SergioOughton, SeanMatthaeus, William H.2010-07-012010-07-012010Wan, M., Servidio, S., Oughton, S. & Matthaeus, W.H. (2010). The third-order law for magnetohydrodynamic turbulence with shear: Numerical investigation. Physics of Plasmas, 17, 052307.https://hdl.handle.net/10289/4070The scaling laws of third-order structure functions for isotropic, homogeneous, and incompressible magnetohydrodynamic (MHD) turbulence relate the observable structure function with the energy dissipation rate. Recently [ Wan et al. Phys. Plasmas 16, 090703 (2009) ], the theory was extended to the case in which a constant velocity shear is present, motivated by the application of the third-order law to the solar wind. We use direct numerical simulations of two-dimensional MHD with shear to confirm this new generalization of the theory. The presence of the shear effect broadens the circumstances in which the law can be applied. Important implications for laboratory and space plasmas are discussed.application/pdfenThis article has been published in the journal: Physics of Plasmas. © 2010 American Institute of Physics.numerical analysisplasma magnetohydrodynamicplasma simulationplasma turbulencesolar windJournal Article10.1063/1.3398481