Convergence of difference methods for the linear transport equation
Technical Report
·
OSTI ID:6681385
We are concerned with certain methods for obtaining numerical solutions to the time-independent Boltzmann transport equation for monoenergetic neutrons in x-y geometry. The transport equation is an integro-differential equation which describes the motion of particles (typically neutrons, protons, etc.) which travel in straight lines with constant velocity between collisions, but which are constantly subject to a certain probability of colliding with the atoms of the matter in which they are traveling. For a general discussion and derivation of the transport equation and its uses in physical problems, see Davison. For a discussion of the properties of the boundary value problems associated with the transport equation, see Vladmirov. 11 refs.
- Research Organization:
- Maryland Univ., College Park (USA). Inst. for Fluid Dynamics and Applied Mathematics
- DOE Contract Number:
- AS05-76ER03443
- OSTI ID:
- 6681385
- Report Number(s):
- DOE/ER/03443-T9; TN-BN-570; ON: DE87008128
- Country of Publication:
- United States
- Language:
- English
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Properties of certain integro-differential equations of the Boltzmann type in Lebesgue spaces
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Related Subjects
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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
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990230 -- Mathematics & Mathematical Models-- (1987-1989)
BOLTZMANN EQUATION
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
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PARTIAL DIFFERENTIAL EQUATIONS
TRANSPORT THEORY
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
99 GENERAL AND MISCELLANEOUS
990230 -- Mathematics & Mathematical Models-- (1987-1989)
BOLTZMANN EQUATION
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
NEUTRON TRANSPORT THEORY
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
TRANSPORT THEORY