Numerical Simulation of Viscous Shock Layer Flows

1. Front Matter

   Pages i-xi

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2. Simulation of supersonic flow around a body using the Navier-Stokes equations

   • Yuri P. Golovachov

   Pages 1-40

3. Viscous shock layer models and computational methods

   • Yuri P. Golovachov

   Pages 41-98

4. Applications to plane and axisymmetric flows

   • Yuri P. Golovachov

   Pages 99-153

5. Simulation of three-dimensional flows

   • Yuri P. Golovachov

   Pages 154-247

6. Physical and chemical effects

   • Yuri P. Golovachov

   Pages 248-328

7. Back Matter

   Pages 329-348

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The book is concerned with mathematical modelling of supersonic and hyper­ sonic flows about bodies. Permanent interest in this topic is stimulated, first of all, by aviation and aerospace engineering. The designing of aircraft and space vehicles requires a more precise prediction of the aerodynamic and heat transfer characteristics. Together with broadening of the flight condition range, this makes it necessary to take into account a number of gas dynamic and physical effects caused by rarefaction, viscous-inviscid interaction, separation, various physical and chemical processes induced by gas heating in the intensive bow shock wave. The flow field around a body moving at supersonic speed can be divided into three parts, namely, shock layer, near wake including base flow, and far wake. The shock layer flow is bounded by the bow shock wave and the front and lat­ eral parts of the body surface. A conventional approach to calculation of shock layer flows consists in a successive solution of the inviscid gas and boundary layer equations. When the afore-mentioned effects become important, implementation of these models meets difficulties or even becomes impossible. In this case, one has to use a more general approach based on the viscous shock layer concept.

• Navier-Stokes equation
• dynamics
• heat transfer
• numerical methods
• simulation

• A.F. Ioffe Physico-Technical Institute, Russian Academy of Sciences, St. Petersburg, Russia

  Yuri P. Golovachov

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