The two-dimensional Riemann problem in gas dynamics /
The Riemann problem is the most fundamental problem in the entire field of non-linear hyperbolic conservation laws. Since first posed and solved in 1860, great progress has been achieved in the one-dimensional case. However, the two-dimensional case is substantially different. Although research inte...
| Main Authors: | , , |
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| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
[Place of publication not identified] :
Routledge,
2022.
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| Edition: | First edition. |
| Series: | Pitman monographs and surveys in pure and applied mathematics,
no. 98 |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- PrefacePreliminariesGeometry of Characteristics and DiscontinuitiesRiemann Solution Geometry of Conservation LawsScalar Conservation LawsOne-Dimensional Scalar Conservation LawsThe Generalized Characteristic Analysis MethodThe Four-Wave Riemann ProblemMach-Reflection-Like Configuration of SolutionsZero-Pressure Gas DynamicsCharacteristics and Bounded DiscontinuitiesSimultaneous Occurrence of Two Blowup MechanismsDelta-Shocks, Generalized Rankine-Hugoniot Relations and Entropy ConditionsThe One-Dimensional Riemann ProblemThe Two-Dimensional Riemann ProblemRiemann Solutions as the Limits of Solutions to Self-Similar Viscous SystemsPressure-Gradient Equations of the Euler SystemThe Pme-Dimensional Riemann ProblemCharacteristics, Discontinuities, Elementary Waves, and ClassificationsThe Existence of Solutions to a Transonic Pressure-Gradient Equation in an Elliptic Region with Degenerate DatumThe Two-Dimensional Riemann Problem and Numerical SolutionsThe Compressible Euler EquationsThe Concepts of Characteristics and DiscontinuitiesPlanar Elementary Waves and ClassificationPSI Approach to Irrotational Isentropic FlowAnalysis of Riemann Solutions and Numerical ResultsTwo-Dimensional Riemann Solutions with AxisymmetryReferencesAuthor Index