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Numerical Stability Analysis of Shock-Capturing Methods for Strong Shocks I: Second-Order Muscl Schemes

Numerical Stability Analysis of Shock-Capturing Methods for Strong Shocks I: Second-Order Muscl Schemes

Modern shock-capturing schemes often suffer from numerical shock anomalies if the flow field contains strong shocks, which may limit their further application in hypersonic flow computations. In the current study, we devote our efforts to exploring the primary numerical characteristics and the underlying mechanism of shock instability for second-order finite-volume …