A new flux splitting scheme for Euler equations of gas dynamics

A new flux splitting method named K-CUSP scheme is proposed in the paper. The major difference between K-CUSP and two traditional CUSP schemes (H-CUSP and E-CUSP) is that all kinematic quantities and all thermodynamic quantities in total enthalpy will be separately split into convective term and pre...

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Bibliographic Details
Main Authors: Li, Xindong, Hu Zongmin, Jiang Zonglin
Format: Conference Proceeding
Language:English
Subjects:
ACCURACY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Cusp scheme
ENTHALPY
Euler-Lagrange equation
Eulers equations
Flux
Gas dynamics
INTERFACES
MACH NUMBER
NUMERICAL SOLUTION
PRESSURE DEPENDENCE
RESOLUTION
Robustness (mathematics)
Shock discontinuity
SHOCK WAVES
Splitting
THERMODYNAMICS
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Summary:A new flux splitting method named K-CUSP scheme is proposed in the paper. The major difference between K-CUSP and two traditional CUSP schemes (H-CUSP and E-CUSP) is that all kinematic quantities and all thermodynamic quantities in total enthalpy will be separately split into convective term and pressure term. The present scheme adopts the cell-face Mach number splitting method of AUSM+ scheme and the interface flux of pressure term is given a new way in the subsonic regime. Numerical solutions demonstrate that the new scheme inherits the simplicity and robustness of FVS schemes, which overcomes the shortcomings of pressure overshoot of shock wave in H-CUSP and E-CUSP schemes, but also retains the high-resolution of FDS schemes, which achieves the high accuracy of contact discontinuity and shock discontinuity.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4913160