Numerical prediction of one-dimensional ablation using a finite control volume procedure with exponential differencing

Journal Article · Fri Jan 01 00:00:00 EST 1988 · Numer. Heat Transfer; (United States)

DOI:https://doi.org/10.1080/10407798808551404· OSTI ID:6391980

Blackwell, B F

The exponential differencing scheme of Spalding, which has been used for convection problems, is adapted to solve one-dimensional ablation problems by using a grid attached to the receding surface. Using the finite control volume approach, element conduction, convection, and storage matrices are developed. The method is applied to a steady-state ablation problem for which an analytical solution is known; comparisons are also made with upwind differencing for the convection terms and central differencing for the conduction terms. An example of a realistic ablation problem is presented.

• Research Organization: Aerothermodynamics Div. 1553, Sandia National Lab., Albuquerque, NM (US)
• OSTI ID: 6391980
• Journal Information: Numer. Heat Transfer; (United States), Vol. 14:1
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
42 ENGINEERING
STEADY-STATE CONDITIONS
NUMERICAL SOLUTION
ANALYTICAL SOLUTION
CALCULATION METHODS
CONVECTION
ENERGY STORAGE
FINITE DIFFERENCE METHOD
MATRICES
ONE-DIMENSIONAL CALCULATIONS
THERMAL CONDUCTION
ENERGY TRANSFER
HEAT TRANSFER
ITERATIVE METHODS
MASS TRANSFER
STORAGE
657000* - Theoretical & Mathematical Physics
990230 - Mathematics & Mathematical Models- (1987-1989)
420400 - Engineering- Heat Transfer & Fluid Flow