Characteristic-based schemes for the Euler equations. (English) Zbl 0624.76093

Annu. Rev. Fluid Mech. 18, 337-365 (1986).
[For the entire collection see Zbl 0591.00022.]
In this review I have demonstrated the mixture of mathematical and physical arguments that is serving to clarify the issues involved in computing accurate and efficient solutions to problems of inviscid compressible flow. This review comes at a time when publications in this area are still rapidly emerging, and although I hope to have selected from the more permanent material, I am uncomfortably aware of many omissions. Future work will further unify and consolidate the subject, as well as extend its applications to, for example, the hyperbolic problems that arise in dynamic elasticity and magnetohydrodynamics.


76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35Q30 Navier-Stokes equations
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics


Zbl 0591.00022