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  • Produktbild: Methods for the Localization of Singularities in Numerical Solutions of Gas Dynamics Problems
  • Produktbild: Methods for the Localization of Singularities in Numerical Solutions of Gas Dynamics Problems

Methods for the Localization of Singularities in Numerical Solutions of Gas Dynamics Problems

Aus der Reihe Scientific Computation

49,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

19.09.2011

Abbildungen

X, 406 p.

Verlag

Springer Berlin

Seitenzahl

406

Maße (L/B/H)

23,5/15,5/2,3 cm

Gewicht

633 g

Auflage

Softcover reprint of the original 1st ed. 1990

Sprache

Englisch

ISBN

978-3-642-64770-3

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

19.09.2011

Abbildungen

X, 406 p.

Verlag

Springer Berlin

Seitenzahl

406

Maße (L/B/H)

23,5/15,5/2,3 cm

Gewicht

633 g

Auflage

Softcover reprint of the original 1st ed. 1990

Sprache

Englisch

ISBN

978-3-642-64770-3

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: Methods for the Localization of Singularities in Numerical Solutions of Gas Dynamics Problems
  • Produktbild: Methods for the Localization of Singularities in Numerical Solutions of Gas Dynamics Problems
  • 1. Introduction and Necessary Notions from the Theory of Difference Schemes for Gas Dynamics Problems.- 1.1. Original Equations. Jump Conditions in the Case of One-Dimensional Gas Flow.- 1.2. Jump Conditions in the Case of Two-Dimensional Gas Flow.- 1.3. Homogeneous Difference Schemes and Their Differential Approximations.- 1.4. On the Applicability of Progressive Wave-Type Solutions of the First Differential Approximation Equations.- 2. Differential Analyzers of Shock Waves in One-Dimensional Gas Flows.- 2.1. An Introductory Example.- 2.2. Existence and Uniqueness of the Smeared Wave Center in the Solution of the System with Artificial Viscosity.- 2.3. Scheme Viscosity and Smeared Shock Wave Center Existence.- 2.4. An Analysis of Difference Schemes of Gas Dynamics.- 2.5. The Application of Differential Analyzers in Problems of Shock Wave Formation.- 3. Differential Analyzers of Shock Waves in Two-Dimensional Gas Dynamic Computations.- 3.1. Method for Investigating the Properties of Curvilinear Shock Front “Smearing”.- 3.2. Localization of the Smeared Shock Wave Center in the Case of a Straight Front.- 3.3. Shock Localization by Moving Grids.- 3.4. Computational Examples.- 4. Differential Analyzers of Contact Discontinuities in One-Dimensional Gas Flows.- 4.1. Methods for the Localization of Contact Discontinuities in the Presence of K-Consistence.- 4.2. K-Consistence Property of the First Differential Approximation in the Two-Dimensional Case.- 4.3. Methods of K-Inconsistence Suppression.- 4.4. The Contact Residual Subtraction Method.- 4.5. Computational Examples.- 5. Optimization Techniques of the Discontinuities Localization.- 5.1. An Analysis of the Miranker—Pironneau Method.- 5.2. Incorporation of the Information on Approximation Viscosity into the BasicFunctional.- 5.3. Shock Localization on the Basis of Function Minimization.- 5.4. Gradient Methods of Basic Functional Minimization.- 5.5. Computational Examples.- 5.6. On Optimization Algorithms for the Localization of Contact Discontinuities.- 5.7. An Optimization Method for the Localization of Weak Discontinuities.- 5.8. A Generalization of the Miranker—Pironneau Method for the Case of Polar Coordinates in a Filtration Problem.- 6. Difference Solution Refinement in the Neighborhood of Strong Discontinuities.- 6.1. Construction of the Basic Functional.- 6.2. Solution Refinement on the Basis of the Least-Squares Method.- 6.3. On the Difference Solution Refinement in the Neighborhood of a Shock Wave Front.- 6.4. Computational Examples.- 7. Classification of Singularities in Gas Flows as the Pattern Recognition Problem.- 7.1. Methodologies of Pattern Recognition.- 7.2. Image Formation.- 7.3. Image Segmentation.- 7.4. Feature Space.- 7.5. Algorithms of Pattern Classification.- 7.6. Examples of Pattern Classification in the Numerical Solutions of Two-Dimensional Gas Dynamics Problems.- Concluding Remarks.- References.