Numerical solutions of two moving boundary problems by both finite difference and finite element methods with applications
The time dependent heat conduction equation that is solved in different coordinate systems is solved subject to various boundary conditions. Boundary conditions include surface heat flux, energy to vaporization of target materials, radiation from surface to surrounding, and possible phase change of material. This system of equations is subject to two moving boundaries. One moving boundary being the melt-solid interface because the surface heat flux may result in melting the surface of the exposed material. Another moving boundary is the receding surface as a result of evaporation of the wall material due to the continuous heating of the melted surface. Finite difference and the finite element methods are used and compared in such solution to these problems. Physical applications to these problems include high energy deposition from electron or ion beams interaction with materials for space and weapons applications, plasma disruption and energy dump on the walls or components of a fusion reactor, and high energy laser welding and annealing of materials. 23 refs., 3 figs.
- Research Organization:
- Argonne National Lab., IL (USA)
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 5771864
- Report Number(s):
- CONF-8710159-4; ON: DE88002867
- Country of Publication:
- United States
- Language:
- English
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75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALLOYS
BOUNDARY CONDITIONS
CHROMIUM ALLOYS
COMPARATIVE EVALUATIONS
CORROSION RESISTANT ALLOYS
ELEMENTS
ENERGY TRANSFER
ENTHALPY
EQUATIONS
EVAPORATION
FINITE DIFFERENCE METHOD
FINITE ELEMENT METHOD
HEAT FLUX
HEAT TRANSFER
HEATING
INTERFACES
IRON ALLOYS
IRON BASE ALLOYS
ITERATIVE METHODS
LASER-RADIATION HEATING
MATHEMATICAL MODELS
MELTING
METALS
MOVING-BOUNDARY CONDITIONS
NUMERICAL SOLUTION
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
PLASMA HEATING
STAINLESS STEELS
STEELS
SURFACES
THERMAL CONDUCTION
THERMODYNAMIC PROPERTIES
TIME DEPENDENCE
TRANSITION ELEMENTS
TRANSITION HEAT
VANADIUM
VAPORIZATION HEAT