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

Conference · Wed Sep 01 00:00:00 EDT 1982

OSTI ID:6916808

Kansa, E. J.; Morgan, Jr., D. L.

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.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6916808
• Report Number(s): UCRL-87259; CONF-821106-18; ON: DE83002496
• 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

Related Subjects

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)