One-dimensional numerical methods for the simulation of liquefied gaseous fuel spills [electronic resource].
- Livermore, Calif : Lawrence Livermore National Laboratory, 1982. and Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
- Physical Description:
- Pages: 29 : digital, PDF file
- Additional Creators:
- Lawrence Livermore National Laboratory and United States. Department of Energy. Office of Scientific and Technical Information
- A simplified moving grid scheme has been developed and applied to a system of six partial differential equations (PDEs) which describe the dispersion of a dense natural gas cloud resulting from a spill of liquefied natural gas (LNG). The grid velocity at each point is determined by the physics represented by the governing PDEs. A grid velocity is sought which transforms the PDEs into a system of ordinary differential equations (ODEs) in a least-squares sense. No constraints were placed upon gradients. In the event of a zero gradient, singular matrix decomposition was applied. Likewise, no constraints were placed on grid velocity. Problems of grid tangling and/or violation of minimum point separation were handled by a regridding scheme. Results are presented using 21 grid points. Shock formation is well resolved. A comparable spatial resolution in a fixed-frame calculation would have required in excess of 500 grid points.
- Published through SciTech Connect., 09/01/1982., "ucrl-87259", " conf-821106-18", "DE83002496", Annual meeting of heat transfer and energy conversion, Los Angeles, CA, USA, 14 Nov 1982., and Kansa, E.J.; Morgan, D.L. Jr.
- Funding Information:
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