An analysis of the upwind moment scheme and its extension to systems of nonlinear hyperbolic-relaxation equations

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dc.contributor.author Suzuki, Yoshifumi
dc.contributor.author Van Leer, Bram
dc.date.accessioned 2008-07-22T21:03:32Z
dc.date.available 2008-07-22T21:03:32Z
dc.date.issued 2007-06-25
dc.identifier.uri http://hdl.handle.net/2027.42/60412
dc.description.abstract The goal of this research is developing a unified numerical method for simulating continuum and transitional flow. To achieve our ultimate goal, first, hyperbolic-relaxation equations are introduced, then a new discretization method is developed. The method is based on Huynh’s upwind moment scheme, with implicit treatment of the source term. Our previous linear method is generalized to 1-D nonlinear hyperbolic-relaxation equations. First, a Fourier analysis is conducted to uncover the accuracy and stability. Then, the Euler equations with heat transfer, which reduce to the isothermal Euler equations in the equilibrium limit, are adopted as a model equation for the numerical experiment. The analysis and numerical results show the superiority of the proposed method in both accuracy and efficiency over the semi-discrete, method-of-line approach. en_US
dc.format.extent 751302 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US en_US
dc.publisher American Institute of Aeronautics and Astronautics en_US
dc.subject Discontinuous Galerkin en_US
dc.subject Hyperbolic Relaxation en_US
dc.subject Numerical Methods en_US
dc.subject Upwind Moment Method en_US
dc.title An analysis of the upwind moment scheme and its extension to systems of nonlinear hyperbolic-relaxation equations en_US
dc.type Article en_US
dc.subject.hlbsecondlevel Aerospace Engineering
dc.subject.hlbtoplevel Engineering
dc.contributor.affiliationum Aerospace Engineering, Department of en_US
dc.contributor.affiliationumcampus Ann Arbor en_US
dc.description.bitstreamurl http://deepblue.lib.umich.edu/bitstream/2027.42/60412/1/AIAA-2007-4468.pdf
dc.owningcollname Aerospace Engineering, Department of
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