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On The Navier‐Stokes Equations with Constant Total Temperature
Author(s) -
Gottlieb David,
Gustafsson Berti
Publication year - 1976
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1976552167
Subject(s) - inviscid flow , constant (computer programming) , mathematics , boundary value problem , algebraic equation , mathematical analysis , energy method , algebraic number , initial value problem , constant coefficients , physics , mechanics , nonlinear system , computer science , quantum mechanics , programming language
For various applications in fluid dynamics, one can assume that the total temperature is constant. Therefore, the energy equations can be replaced by an algebraic relation. The resulting set of equations in the inviscid case is analyzed in this paper. It is shown that the system is strictly hyperbolic and well posed for the initial‐value problem. Boundary conditions are described such that the linearized system is well posed. The hopscotch method is investigated and numerical results are presented.