Asymptotic methods in fluid dynamics
Abstract
Research done on asymptotic methods in fluid dynamics at the Computational Center of the Soviet Academy of Sciences is surveyed. Wave propagation in the inhomogeneous atmosphere is considered; a unified treatment of nonlinear wave processes in a radiating gas and in chemically active mixtures is presented; the theory of transonic flows of ideal and viscous heat-conducting gases is reviewed. First integrals charactering conservation of mass, momentum, and energy are obtained for flows that are close to steady, one-dimensional. Attention is given to unsteady processes in a boundary layer freely interacting with an outer potential flow. From the Boltzmann equation, a system of hydrodynamic equations is derived for mixtures with chemical reactions
- Publication:
-
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
- Pub Date:
- October 1980
- Bibcode:
- 1980ZVMMF..20.1221R
- Keywords:
-
- Asymptotic Methods;
- Computational Fluid Dynamics;
- Fluid Dynamics;
- Boltzmann Transport Equation;
- Boundary Layer Flow;
- Chemical Reactions;
- Flow Distortion;
- Ideal Gas;
- Potential Flow;
- Steady Flow;
- Transonic Flow;
- Viscous Flow;
- Wave Propagation;
- Fluid Mechanics and Heat Transfer