Numerical Solution of a Diffusion Consumption Problem with a Free Boundary.
Abstract
The authors consider the numerical solution of an implicit moving free boundary problem which arises in the study of diffusion and consumption of oxygen in tissue. A fixed domain numerical method is presented which is motivated by a theoretical formulation developed by Rogers. The numerical method uses any convenient finite difference or finite element scheme which converges to the underlying partial differential equation. The frontal generation appears by way of a simple algebraic comparison operation involving truncation of the computed approximation. Higher space dimensions are treated with equal ease. Results of numerical experiments are presented. A convergence proof for the truncation method is given. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 31, 1974
- Accession Number
- AD0778309
Entities
People
- Alan E. Berger
- Joel C. W. Rogers
- Melvyn Ciment
Organizations
- Naval Ordnance Laboratory