# High resolution kinetic beam schemes in generalized coordinates for ideal quantum gas dynamics

## Abstract

A class of high resolution kinetic beam schemes in multiple space dimensions in general coordinates system for the ideal quantum gas is presented for the computation of quantum gas dynamical flows. The kinetic Boltzmann equation approach is adopted and the local equilibrium quantum statistics distribution is assumed. High-order accurate methods using essentially non-oscillatory interpolation concept are constructed. Computations of shock wave diffraction by a circular cylinder in an ideal quantum gas are conducted to illustrate the present method. The present method provides a viable means to explore various practical ideal quantum gas flows.

- Authors:

- Institute of Applied Mechanics, National Taiwan University, 1, Sec. 4, Roosevelt Road, Tapei, Taiwan 10764, Taiwan (China)
- Institute of Applied Mechanics, National Taiwan University, 1, Sec. 4, Roosevelt Road, Tapei, Taiwan 10764, Taiwan (China). E-mail: yangjy@iam.ntu.edu.tw

- Publication Date:

- OSTI Identifier:
- 20991566

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Computational Physics; Journal Volume: 222; Journal Issue: 2; Other Information: DOI: 10.1016/j.jcp.2006.08.001; PII: S0021-9991(06)00368-8; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BEAM DYNAMICS; BOLTZMANN EQUATION; CALCULATION METHODS; COORDINATES; CYLINDERS; DIFFRACTION; GAS FLOW; INTERPOLATION; KINETICS; QUANTUM MECHANICS; RESOLUTION; SHOCK WAVES; STATISTICS

### Citation Formats

```
Shi, Yu-Hsin, Huang, J.C., and Yang, J.Y.
```*High resolution kinetic beam schemes in generalized coordinates for ideal quantum gas dynamics*. United States: N. p., 2007.
Web. doi:10.1016/j.jcp.2006.08.001.

```
Shi, Yu-Hsin, Huang, J.C., & Yang, J.Y.
```*High resolution kinetic beam schemes in generalized coordinates for ideal quantum gas dynamics*. United States. doi:10.1016/j.jcp.2006.08.001.

```
Shi, Yu-Hsin, Huang, J.C., and Yang, J.Y. Tue .
"High resolution kinetic beam schemes in generalized coordinates for ideal quantum gas dynamics". United States.
doi:10.1016/j.jcp.2006.08.001.
```

```
@article{osti_20991566,
```

title = {High resolution kinetic beam schemes in generalized coordinates for ideal quantum gas dynamics},

author = {Shi, Yu-Hsin and Huang, J.C. and Yang, J.Y.},

abstractNote = {A class of high resolution kinetic beam schemes in multiple space dimensions in general coordinates system for the ideal quantum gas is presented for the computation of quantum gas dynamical flows. The kinetic Boltzmann equation approach is adopted and the local equilibrium quantum statistics distribution is assumed. High-order accurate methods using essentially non-oscillatory interpolation concept are constructed. Computations of shock wave diffraction by a circular cylinder in an ideal quantum gas are conducted to illustrate the present method. The present method provides a viable means to explore various practical ideal quantum gas flows.},

doi = {10.1016/j.jcp.2006.08.001},

journal = {Journal of Computational Physics},

number = 2,

volume = 222,

place = {United States},

year = {Tue Mar 20 00:00:00 EDT 2007},

month = {Tue Mar 20 00:00:00 EDT 2007}

}

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