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A unified approach to compressible and incompressible flows. (English) Zbl 0845.76040
Summary: We present a finite element formulation for solving the compressible Navier-Stokes equations which accommodates the use of any set of variables. If primitive variables $$(p,u,T)$$, or entropy variables are used, the incompressible limit is well behaved. Therefore, one formulation can be used to solve both compressible and incompressible flows.

##### MSC:
 76M10 Finite element methods applied to problems in fluid mechanics 76D05 Navier-Stokes equations for incompressible viscous fluids 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
##### Keywords:
entropy variables; incompressible limit
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##### References:
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