Direct modeling for computational fluid dynamics : construction and application of unified gas-kinetic schemes / Kun Xu.

Format:

Book

Author/Creator:

Xu, Kun, author.

Series:

Advances in computational fluid dynamics ; Volume 4.

Advances in Computational Fluid Dynamics ; Volume 4

Language:

English

Subjects (All):

Computational fluid dynamics.

Physical Description:

1 online resource (335 p.)

Place of Publication:

Singapore ; Hackensack, New Jersey ; London, [England] : World Scientific, 2015.

Language Note:

English

Summary:

Computational fluid dynamics (CFD) studies the flow motion in a discretized space. Its basic scale resolved is the mesh size and time step. The CFD algorithm can be constructed through a direct modeling of flow motion in such a space. This book presents the principle of direct modeling for the CFD algorithm development, and the construction unified gas-kinetic scheme (UGKS). The UGKS accurately captures the gas evolution from rarefied to continuum flows. Numerically it provides a continuous spectrum of governing equation in the whole flow regimes.

Contents:

1. Direct modeling for computational fluid dynamics. 1.1. Physical modeling and numerical solution of fluid dynamic equations. 1.2. Direct modeling of fluid motion. 1.3. Direct modeling and multiscale coarse-graining models. 1.4. Necessity of direct modeling

2. Introduction to gas kinetic theory. 2.1. Macroscopic gas dynamic equations. 2.2. Gas distribution function of equilibrium flow. 2.3. Boltzmann equation. 2.4. Understanding of Boltzmann equation. 2.5. Relation between kinetic theory and hydrodynamic equations. 2.6. Kinetic model equations. 2.7. Summary

3. Introduction to nonequilibrium flow simulations. 3.1. Nonequilibrium flow study. 3.2. Numerical methods for non-equilibrium flows. 3.3. Direct modeling in unified gas kinetic scheme. 3.4. Summary

4. Gas kinetic scheme. 4.1. Introduction. 4.2. Gas kinetic scheme. 4.3. Analysis of gas kinetic scheme. 4.4. Numerical examples. 4.5. Comparison of GKS and Godunov method. 4.6. Principle of CFD

5. Unified gas kinetic scheme. 5.1. Introduction. 5.2. Unified gas kinetic scheme in one-dimensional space. 5.3. Unified gas kinetic scheme in two-dimensional space. 5.4. Unified gas kinetic scheme in three-dimensional space. 5.5. Boundary conditions. 5.6. Analysis of unified gas kinetic scheme. 5.7. Summary

6. Low speed microflow studies. 6.1. Introduction. 6.2. Numerical methods for microflow. 6.3. Unified gas kinetic scheme for microflow. 6.4. Microflow studies. 6.5. Summary

7. High speed flow studies. 7.1. Introduction. 7.2. Physical modeling and numerical difficulties. 7.3. Supersonic flow studies. 7.4. Hypersonic flow studies. 7.5. Summary

8. Unified gas kinetic scheme for diatomic gas. 8.1. Diatomic gas model. 8.2. Unified gas kinetic scheme. 8.3. Diatomic gas studies. 8.4. Summary

9. Conclusion.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed February 28, 2015).

ISBN:

981-4623-72-5

OCLC:

905865131