Finite element methods for compressible flow. (English) Zbl 0606.76089

Löhner, R.; Morgan, K.; Peraire, J.; Zienkiewicz, O. C.; Kong, L.

Numerical methods for fluid dynamics II, Proc. Conf., Reading/UK 1985, Inst. Math. Appl. Conf. Ser., New Ser. 7, 27-53 (1986).

[For the entire collection see Zbl 0591.00024.]
We review the on-going research work at Swansea into the application of finite element based methods to the solution of problems involving compressible fluid flow. From the outset, our main area of activity has been the development of algorithms for modelling supersonic flows, with the ultimate aim of producing a computer code for predicting aerodynamic heating rates over bodies of complex geometrical shape at high Mach number.

MSC:

76N10	Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76N15	Gas dynamics (general theory)
76-02	Research exposition (monographs, survey articles) pertaining to fluid mechanics
76M99	Basic methods in fluid mechanics

Keywords:

finite element based methods; compressible fluid flow; supersonic flows; aerodynamic heating rates; bodies of complex geometrical shape

Citations:

Zbl 0591.00024