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A novel macro particle method for co...

Chan, Kar-Ki.

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A novel macro particle method for compressible flows: Graphics and fluid dynamics applications.

Record Type:	Electronic resources : Monograph/item
Title/Author:	A novel macro particle method for compressible flows: Graphics and fluid dynamics applications./
Author:	Chan, Kar-Ki.
Description:	113 p.
Notes:	Source: Dissertation Abstracts International, Volume: 65-04, Section: B, page: 1928.
Contained By:	Dissertation Abstracts International65-04B.
Subject:	Physics, Fluid and Plasma. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3128318
ISBN:	0496755811

A novel macro particle method for compressible flows: Graphics and fluid dynamics applications.
Chan, Kar-Ki.

A novel macro particle method for compressible flows: Graphics and fluid dynamics applications. - 113 p.

Source: Dissertation Abstracts International, Volume: 65-04, Section: B, page: 1928.

Thesis (Ph.D.)--The Chinese University of Hong Kong (People's Republic of China), 2004.

In this thesis, a novel macro particle method (MPM) is introduced. This method resembles the PIC method but instead of using tens or hundreds of small point particles, a single macro particle is employed to model the fluid element in a cell. Two computational phases including a Lagrangian phase and a remapping phase are invoked to update the fluid state in each time step. At the beginning of the Lagrangian phase, the macro particles align with the centers of the grid cells and then they move over the grid cells in accordance with the forces calculated by the newly formulated Navier-Stokes equations. The Lagrangian phase is immediately followed by a remapping phase. During the remapping phase, the particles are decomposed and re-condensed into the grid cells again. The remapping phase ensures that each grid cell contains exactly one particle and as a consequences, the fluid dynamics computation becomes very efficient. Unlike the conventional numerical schemes, we employ a fully connected configuration so that for each macro particle, 26 and 8 neighbors are considered respectively for the 3D and 2D simulations. It is found that the full-connected scheme is much better than the conventional one especially when the time step or CFL number is large.

ISBN: 0496755811Subjects--Topical Terms:

1018402
Physics, Fluid and Plasma.

A novel macro particle method for compressible flows: Graphics and fluid dynamics applications.
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100 1 $a Chan, Kar-Ki. $3 1934584
245 1 2 $a A novel macro particle method for compressible flows: Graphics and fluid dynamics applications.
300 $a 113 p.
500 $a Source: Dissertation Abstracts International, Volume: 65-04, Section: B, page: 1928.
500 $a Adviser: Heng Pheng Ann.
502 $a Thesis (Ph.D.)--The Chinese University of Hong Kong (People's Republic of China), 2004.
520 $a In this thesis, a novel macro particle method (MPM) is introduced. This method resembles the PIC method but instead of using tens or hundreds of small point particles, a single macro particle is employed to model the fluid element in a cell. Two computational phases including a Lagrangian phase and a remapping phase are invoked to update the fluid state in each time step. At the beginning of the Lagrangian phase, the macro particles align with the centers of the grid cells and then they move over the grid cells in accordance with the forces calculated by the newly formulated Navier-Stokes equations. The Lagrangian phase is immediately followed by a remapping phase. During the remapping phase, the particles are decomposed and re-condensed into the grid cells again. The remapping phase ensures that each grid cell contains exactly one particle and as a consequences, the fluid dynamics computation becomes very efficient. Unlike the conventional numerical schemes, we employ a fully connected configuration so that for each macro particle, 26 and 8 neighbors are considered respectively for the 3D and 2D simulations. It is found that the full-connected scheme is much better than the conventional one especially when the time step or CFL number is large.
520 $a When compared with PIC methods, the MPM is found to be very stable and does not suffer from the fluctuation of cell's fluid state that arises from discrete change of particles number in the cell. It is also superior to the semi-lagrangian type solver as mass, energy and momentum are strictly conserved in a zero viscosity environment. Besides, MPM is nearly conservative for a large range of viscosity coefficients up to one million times of that of normal air.
590 $a School code: 1307.
650 4 $a Physics, Fluid and Plasma. $3 1018402
650 4 $a Mathematics. $3 515831
650 4 $a Computer Science. $3 626642
690 $a 0759
690 $a 0405
690 $a 0984
710 2 0 $a The Chinese University of Hong Kong (People's Republic of China). $3 1265600
773 0 $t Dissertation Abstracts International $g 65-04B.
790 1 0 $a Ann, Heng Pheng, $e advisor
790 $a 1307
791 $a Ph.D.
792 $a 2004
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3128318