Abstract
Multidimensional upwind residual distribution schemes are applied to the eight-wave equations of ideal mag- netohydrodynamics. These schemes extend the high-resolution upwind e nite volume methodology to a truly multidimensionale niteelementcontextonunstructuredgrids.Bothe rst-andsecond-orderlinearandsecond-order nonlinear monotonicity preserving schemes are discussed. An approximate conservative linearization technique is derived forgeneralhyperbolicsystemstogetherwith a conservativecorrectiontechnique,whichguaranteesthefull conservation of the convective e uxes. The solenoidal condition of the magnetic e eld is enforced by Powell' s source term approach. Bothimplicit and explicittime-integration strategieshavebeen implemented. The spatial accuracy and theshock-capturing properties of the schemes in thesteady state are investigated numerically. Computational results are presented for a bow shock over a cylinder and for a supermagnetosonic e ow in a channel.
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