A unified computational fluid dynamics framework from rarefied to continuum regimes Kun Xu

Format:

Book

Author/Creator:

Xu, Kun, 1966- author.

Series:

Cambridge elements. Elements in aerospace engineering

Language:

English

Subjects (All):

Aerodynamics.

Aerospace engineering.

Fluid dynamics.

aerodynamics.

aerospace engineering.

aeronautical engineering.

Physical Description:

1 online resource

Place of Publication:

Cambridge, United Kingdom New York, NY Cambridge University Press 2021

Summary:

This Element presents a unified computational fluid dynamics framework from rarefied to continuum regimes. The framework is based on the direct modelling of flow physics in a discretized space. The mesh size and time step are used as modelling scales in the construction of discretized governing equations. With the variation-of-cell Knudsen number, continuous modelling equations in different regimes have been obtained, and the Boltzmann and Navier-Stokes equations become two limiting equations in the kinetic and hydrodynamic scales. The unified algorithms include the discrete velocity method (DVM)-based unified gas-kinetic scheme (UGKS), the particlebased unified gas-kinetic particle method (UGKP), and the wave and particle-based unified gas-kinetic wave-particle method (UGKWP). The UGKWP is a multi-scale method with the particle for non-equilibrium transport and wave for equilibrium evolution. The particle dynamics in the rarefied regime and the hydrodynamic flow solver in the continuum regime have been unified according to the cell's Knudsen number

Contents:

Cover

Title page

Copyright page

A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes

Contents

1 Introduction

1.1 Multi-scale Modelling for Gas Dynamics

1.2 Unified Gas-Kinetic Schemes

2 The Gas-Kinetic Scheme

2.1 Governing Equations

2.2 Gas-Kinetic Scheme for the Navier-Stokes Solutions

2.3 Properties and Extensions of GKS

(a) Dynamic Differences among Various Kinetic Solvers

(b) Comparison of a GKS Flux Function and Exact Riemann Solver

(c) Multidimensional GKS Flux Function

(D) Smooth Transition from Upwind to Central Difference

(e) High-Order Extension and Compact GKS with Spectral Resolution

2.4 Summary

3 The Unified Gas-Kinetic Scheme

3.1 Preface

3.2 Discretization of the Particle Distribution Function

3.3 Unified Gas-Kinetic Scheme

3.4 The Multi-scale Nature of UGKS

3.5 UGKS Validation

(a) Lid-Driven Cavity Flow

(b) Flow Passing through a Circular Cylinder

3.6 Summary

4 Unified Gas-Kinetic Particle and Wave-Particle Methods

4.1 Preface

4.2 An Introduction to Particle Methods

4.3 The Unified Gas-Kinetic Particle Method

4.4 The Unified Gas-Kinetic Wave-Particle Method

4.5 Analysis and Further Development of UGKWP

4.6 Numerical Validation

(a) Shock Structure Calculation

(c) Laminar Boundary Layer

(d) Flow Passing through a Space Vehicle

4.7 Summary

5 Perspectives and Future Outlook

Appendix

References

Acknowledgement

Notes:

Online resource; title from digital title page (viewed on May 22, 2021)

Includes bibliographical references

Other Format:

Print version:

ISBN:

9781108877534

1108877532

9781108890519

1108890512

OCLC:

1252526965

Access Restriction:

Restricted for use by site license