Low Mach number limit of full Navier–Stokes equations in a 3D bounded domain
2015
Abstract This paper studies the low Mach number limit of the full compressible Navier–Stokes equations in a three-dimensional bounded domain where the velocity field and the temperature satisfy the slip boundary conditions and the Neumann boundary condition, respectively. The uniform estimates in the Mach number for the strong solutions are derived in a short time interval, provided that the initial density and temperature are close to the constant states and satisfy the “bounded derivative conditions”. Thus the solutions of the full compressible Navier–Stokes equations converge to the one of the isentropic incompressible Navier–Stokes equations, as the Mach number vanishes.
Keywords:
- Hypersonic speed
- Reynolds-averaged Navier–Stokes equations
- Mathematical optimization
- Mach number
- Mathematical analysis
- Pressure-correction method
- Mathematics
- Hagen–Poiseuille flow from the Navier–Stokes equations
- Non-dimensionalization and scaling of the Navier–Stokes equations
- Mach wave
- Navier–Stokes equations
- Correction
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- Cite
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