NUMERICAL PREDICTION OF ONE-DIMENSIONAL ABLATION USING A FINITE CONTROL VOLUME PROCEDURE WITH EXPONENTIAL DIFFERENCING
- 1 July 1988
- journal article
- research article
- Published by Taylor & Francis Ltd in Numerical Heat Transfer
- Vol. 14 (1), 17-34
- https://doi.org/10.1080/10407788808913631
Abstract
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.Keywords
This publication has 1 reference indexed in Scilit:
- A novel finite difference formulation for differential expressions involving both first and second derivativesInternational Journal for Numerical Methods in Engineering, 1972