Computer-aided analysis of nonlinear problems in transport phenomenaThe paper describes algorithms for equilibrium and steady-state problems with coefficients in the expansions derived by the Galerkin weighted residual method and calculated from the resulting sets of nonlinear algebraic equations by the Newton-Raphson method. Initial approximations are obtained from nearby solutions by continuation techniques as parameters are varied. The Newton-Raphson technique is preferred because the Jacobian of the solution is useful for continuation, for analyzing the stability of solutions, for detecting bifurcation of solution families, and for computing asymptotic estimates of the effects on any solution of small changes in parameters, boundary conditions, and boundary shape.
Document ID
19800069531
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Brown, R. A. (MIT Cambridge, Mass., United States)
Scriven, L. E. (Minnesota, University Minneapolis, Minn., United States)
Silliman, W. J. (Exxon Production Research Co. Houston, Tex., United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1980
Subject Category
Fluid Mechanics And Heat Transfer
Meeting Information
Meeting: New approaches to nonlinear problems in dynamics