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Title: One-dimensional numerical methods for the simulation of liquefied gaseous fuel spills

Abstract

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.

Authors:
;
Publication Date:
Research Org.:
Lawrence Livermore National Lab., CA (USA)
OSTI Identifier:
6916808
Report Number(s):
UCRL-87259; CONF-821106-18
ON: DE83002496
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Conference
Resource Relation:
Conference: Annual meeting of heat transfer and energy conversion, Los Angeles, CA, USA, 14 Nov 1982
Country of Publication:
United States
Language:
English
Subject:
03 NATURAL GAS; 54 ENVIRONMENTAL SCIENCES; GAS SPILLS; MATHEMATICAL MODELS; LIQUEFIED NATURAL GAS; PARTIAL DIFFERENTIAL EQUATIONS; SIMULATION; SPATIAL DISTRIBUTION; TWO-PHASE FLOW; DIFFERENTIAL EQUATIONS; DISTRIBUTION; ENERGY SOURCES; EQUATIONS; FLUID FLOW; FLUIDS; FOSSIL FUELS; FUEL GAS; FUELS; GAS FUELS; GASES; LIQUEFIED GASES; NATURAL GAS; 030800* - Natural Gas- Environmental Aspects; 500200 - Environment, Atmospheric- Chemicals Monitoring & Transport- (-1989)

Citation Formats

Kansa, E. J., and Morgan, Jr., D. L. One-dimensional numerical methods for the simulation of liquefied gaseous fuel spills. United States: N. p., 1982. Web.
Kansa, E. J., & Morgan, Jr., D. L. One-dimensional numerical methods for the simulation of liquefied gaseous fuel spills. United States.
Kansa, E. J., and Morgan, Jr., D. L. 1982. "One-dimensional numerical methods for the simulation of liquefied gaseous fuel spills". United States. https://www.osti.gov/servlets/purl/6916808.
@article{osti_6916808,
title = {One-dimensional numerical methods for the simulation of liquefied gaseous fuel spills},
author = {Kansa, E. J. and Morgan, Jr., D. L.},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/6916808}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Sep 01 00:00:00 EDT 1982},
month = {Wed Sep 01 00:00:00 EDT 1982}
}

Conference:
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