Local Characteristic Decomposition Based Central-Upwind Scheme
Alina Chertock,
Shaoshuai Chu,
Michael Herty
et al.
Abstract:We propose novel less diffusive schemes for conservative one-and two-dimensional hyperbolic systems of nonlinear partial differential equations (PDEs). The main challenges in the development of accurate and robust numerical methods for the studied systems come from the complicated wave structures, such as shocks, rarefactions and contact discontinuities, arising even for smooth initial conditions. In order to reduce the diffusion in the original central-upwind schemes, we use a local characteristic decompositi… Show more
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