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Continuous front tracking with subcell resolution (1991)

Cooke, Charlie H. ; Chen, Tze-Jang

Springer

Journal of scientific computing 6 (1991), S. 269-282

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ISSN: 1573-7691

Keywords: Front tracking ; subgrid resolution ; Godunov scheme ; underwater explosion

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science

Notes: Abstract The objective of this research is development of front tracking methods that possess subgrid resolution capability. One envisions here continuous tracking of the front, as opposed to discrete (one grid point to the next) tracking, such as is provided by the random choice method. A front tracking scheme employing near-front cells which continuously evolve with time is developed. This scheme is applied to the problem of tracking a material interface in the underwater explosion problem.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01062813

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On the Riemann problem for liquid or gas-liquid media (1994)

Chen, Tze-Jang ; Cooke, Charlie H.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 18 (1994), S. 529-541

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ISSN: 0271-2091

Keywords: Riemann problem ; Gas-liquid interface ; Modified Tait equation of state ; Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes: Self-similar solutions to the Riemann problem for water with the modified Tait equation of state are presented. The methods of Smoller for gas dynamics are employed to reduce the problem to the solution of a single non-linear equation. The same methods are used for solving the Riemann problem at a gas-water interface. In both cases the method of interval bisections affords a solution technique free of problems with convergence.

Additional Material: 3 Ill.