Boundary Value Problems for Transonic FlowISBN: 978-0-471-48641-1
Hardcover
316 pages
June 2002
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1. Linear Partial Differential Equations of Mixed Type.
Solvability of a Basic Boundary-Value Problem.
Equation of the Elliptic-Hyperbolic Type.
Equation of the Hyperbolic-Elliptic Type.
Equation with a Local Hyperbolic Subdomain.
Other Developments.
The Tricomi Equation.
2. Flow That Accelerates from Subsonic to Supersonic Velocity in a Channel.
A Uniqueness Theorem.
Solvability of a Nonlinear Pertubation Problem.
The Full-Potential and the Chaplygin Euqations.
Finite-Element Solutions.
Unsteady Inviscid Flow.
Finite-Difference Schemes.
Acoustical Oscillations in Transonic Flow.
Nonisentropic Flow.
Flow with a Local Region of Deceleration.
3. Flow with a Local Supersonic Region.
Particular Smooth Solutions and Shockless Airfoils.
A Modification of the Frankl Problem.
Concepts of the Arising of Shock Waves.
Flow with a Local Supersonic Region over a Porous Boundary.
Flow that Decelerates from Supersonic to Subsonic Velocities.
FE and FE Treastment of Flow with Shock Waves.
Viscous Transonic Flow.
4. Numerical Simulation of Transonic Flow Patterns.
Formation of Shock Waves in the Local Supersonic Region.
Inrteraction of a Shock Wave with the Sonic Line.
Off-design Conditions and Flow Control.
Unsteady Transonic Flow.
Other Studies Concerned with a Flow Structure.
Nonunique Numerical Solutions.
Appendix A -
Boundary-Value Problem with a Damping Condition
References
Solvability of a Basic Boundary-Value Problem.
Equation of the Elliptic-Hyperbolic Type.
Equation of the Hyperbolic-Elliptic Type.
Equation with a Local Hyperbolic Subdomain.
Other Developments.
The Tricomi Equation.
2. Flow That Accelerates from Subsonic to Supersonic Velocity in a Channel.
A Uniqueness Theorem.
Solvability of a Nonlinear Pertubation Problem.
The Full-Potential and the Chaplygin Euqations.
Finite-Element Solutions.
Unsteady Inviscid Flow.
Finite-Difference Schemes.
Acoustical Oscillations in Transonic Flow.
Nonisentropic Flow.
Flow with a Local Region of Deceleration.
3. Flow with a Local Supersonic Region.
Particular Smooth Solutions and Shockless Airfoils.
A Modification of the Frankl Problem.
Concepts of the Arising of Shock Waves.
Flow with a Local Supersonic Region over a Porous Boundary.
Flow that Decelerates from Supersonic to Subsonic Velocities.
FE and FE Treastment of Flow with Shock Waves.
Viscous Transonic Flow.
4. Numerical Simulation of Transonic Flow Patterns.
Formation of Shock Waves in the Local Supersonic Region.
Inrteraction of a Shock Wave with the Sonic Line.
Off-design Conditions and Flow Control.
Unsteady Transonic Flow.
Other Studies Concerned with a Flow Structure.
Nonunique Numerical Solutions.
Appendix A -
Boundary-Value Problem with a Damping Condition
References
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