A Newton-based boundary element method for nonlinear convective diffusion problems
- ALCOA Technical Center, ALCOA Center, PA (United States)
A Newton-based boundary element method for the solution of nonlinear convective diffusion problems is presented. The problems are formulated through the use of the exponential transformation. The numerical procedures for the boundary element implementations of the formulation are discussed, and the treatment of nonlinear boundary conditions using the Newton-Raphson method is described in detail. The coefficient matrices resulting from the boundary element implementation are so partitioned as to facilitate the construction and efficient computation of the Jacobian matrix. Three numerical examples are provided. The results agree well with the analytical solutions whenever available. The method is free from numerical oscillations even for high Peclet numbers. The Newton-based iterative scheme, when integrated with the BEM, provides an efficient algorithm for the solution of nonlinear convective diffusion problems and is superior to the successive substitution approximation.
- OSTI ID:
- 6536994
- Journal Information:
- Numerical Heat Transfer. Part B, Fundamentals; (United States), Journal Name: Numerical Heat Transfer. Part B, Fundamentals; (United States) Vol. 23:3; ISSN 1040-7790; ISSN NHBFEE
- Country of Publication:
- United States
- Language:
- English
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