Volume 2, Issue 4
Numerical Method for Boltzmann Equation with Soroban-Grid CIP Method

Y. Ogata, H.-N. Im & T. Yabe

DOI:

Commun. Comput. Phys., 2 (2007), pp. 760-782.

Published online: 2007-02

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  • Abstract

A new numerical scheme to solve the Boltzmann equation in phase space for rarefied gas is described on the basis of the Cubic Interpolated Propagation (CIP) method. The CIP procedure is extended to adaptive unstructured grid system by the Soroban grid. The grid points in velocity space can move dynamically following the spread of velocity space in a spatially localized manner. Such adaptively moving points in velocity space are similar to the particle codes but can provide higher-order-accurate solutions. Numerical solutions obtained by the Soroban-grid CIP are examined and the validity is discussed. 

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@Article{CiCP-2-760, author = {}, title = {Numerical Method for Boltzmann Equation with Soroban-Grid CIP Method}, journal = {Communications in Computational Physics}, year = {2007}, volume = {2}, number = {4}, pages = {760--782}, abstract = {

A new numerical scheme to solve the Boltzmann equation in phase space for rarefied gas is described on the basis of the Cubic Interpolated Propagation (CIP) method. The CIP procedure is extended to adaptive unstructured grid system by the Soroban grid. The grid points in velocity space can move dynamically following the spread of velocity space in a spatially localized manner. Such adaptively moving points in velocity space are similar to the particle codes but can provide higher-order-accurate solutions. Numerical solutions obtained by the Soroban-grid CIP are examined and the validity is discussed. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7926.html} }
TY - JOUR T1 - Numerical Method for Boltzmann Equation with Soroban-Grid CIP Method JO - Communications in Computational Physics VL - 4 SP - 760 EP - 782 PY - 2007 DA - 2007/02 SN - 2 DO - http://dor.org/ UR - https://global-sci.org/intro/article_detail/cicp/7926.html KW - AB -

A new numerical scheme to solve the Boltzmann equation in phase space for rarefied gas is described on the basis of the Cubic Interpolated Propagation (CIP) method. The CIP procedure is extended to adaptive unstructured grid system by the Soroban grid. The grid points in velocity space can move dynamically following the spread of velocity space in a spatially localized manner. Such adaptively moving points in velocity space are similar to the particle codes but can provide higher-order-accurate solutions. Numerical solutions obtained by the Soroban-grid CIP are examined and the validity is discussed. 

Y. Ogata, H.-N. Im & T. Yabe. (2020). Numerical Method for Boltzmann Equation with Soroban-Grid CIP Method. Communications in Computational Physics. 2 (4). 760-782. doi:
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